|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
pair A, B, C, D;
A=(0,0);
B=(2,0);
C=(4,0);
D=(4,2);
draw(A--B);
draw(C--D);
Asymptote Generalities – fig0010
Asymptote Generalities – fig0020
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(1cm,0);
pair A, B, C, D;
A=(0,0);
B=(2,0);
C=(4,0);
D=(4,2);
draw(A--B);
draw(C--D);
Asymptote Generalities – fig0030
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(3cm,0);
pair A, B, C, D;
A=(0,0);
B=(2,0);
C=(4,0);
D=(4,2);
draw(A--B);
draw(C--D);
Asymptote Generalities – fig0040
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(1cm,0.5cm);
pair A, B, C, D;
A=(0,0);
B=(2,0);
C=(4,0);
D=(4,2);
draw(A--B);
draw(C--D);
Asymptote Generalities – fig0050
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(3cm,0.5cm);
pair A, B, C, D;
A=(0,0);
B=(2,0);
C=(4,0);
D=(4,2);
draw(A--B);
draw(C--D);
Asymptote Generalities – fig0060
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(3cm, 0.5cm, false);
pair A, B, C, D;
A=(0,0);
B=(2,0);
C=(4,0);
D=(4,2);
draw(A--B);
draw(C--D);
Asymptote Generalities – fig0070
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(1cm, 3cm, false);
pair A, B, C, D;
A=(0,0);
B=(2,0);
C=(4,0);
D=(4,2);
draw(A--B);
draw(C--D);
Asymptote Generalities – fig0080
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
pair A, B, C, D;
A=(0,0);
B=(2cm,0);
C=(4cm,0);
D=(4cm,2cm);
draw(A--B);
draw(C--D);
Asymptote Generalities – fig0090
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
unitsize(1cm);
pair A, B, C, D;
A=(0,0);
B=(2,0);
C=(4,0);
D=(4,2);
draw(A--B);
draw(C--D);
Asymptote Generalities – fig0100
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
unitsize(x=1cm, y=0.5cm);
pair A, B, C, D;
A=(0,0);
B=(2,0);
C=(4,0);
D=(4,2);
draw(A--B);
draw(C--D);
Asymptote Generalities – fig0110
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
draw(scale(4)*unitcircle);
dot((0,0));
dot((4,0));
fixedscaling((-8,-8),(6,6));
shipout(bbox(Fill(lightgrey)));
Asymptote Generalities – fig0140
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(1cm,1cm);
pair A=(0,0), B=(1,0), C=(0,1);
draw (A--B--C);
Asymptote Generalities – fig0150
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(1cm,1cm);
pair A=(0,0), B=(1,0), C=(0,1);
draw (A--B--C--cycle);
Asymptote Generalities – fig0160
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(1cm,1cm);
pair [] A;
A[0]=(-1, -1);
A[1]=( 1, -1);
A[2]=( 1, 1);
A[3]=(-1, 1);
draw (A[0]--A[1]--A[2]--A[3]--cycle);
draw (A[0]--A[2]);
draw (A[1]--A[3]);
Asymptote Generalities – fig0170
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(2cm,2cm);
draw(unitsquare);
dot((0,0)--(1,1)--(0,1)--(1,0));
draw((0,0)--(1,1));
draw((1,0)--(0,1));
Asymptote Generalities – fig0180
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,2cm,false);
draw(unitsquare);
dot((0,0)--(1,1)--(0,1)--(1,0));
draw((0,0)--(1,1));
draw((1,0)--(0,1));
Asymptote Generalities – fig0190
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
pair A,B,C;
A=(0,0);B=(1,0);C=(2,0);
draw(A,8bp+black);
draw(B,8bp+blue);
draw(C,linewidth(8bp));
Asymptote Generalities – fig0200
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
unitsize(cm);
pair A=(0,0), B=(1,0), C=(0,1);
path trig;
trig=A--B--C--cycle;
draw(trig);
dot(trig,linewidth(4bp));
dot(shift(3,0)*trig,red+4bp);
Asymptote Generalities – fig0210
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(2cm,2cm);
pair A, B, C;
A=(0,0); B=(1,0); C=(0,1);
draw(A--B--C--cycle);
draw (midpoint(A--B) -- C);
draw (B+0.5*(C-B) -- A);
draw (interp(A,C,0.5) -- B);
Asymptote Generalities – fig0220
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(2cm,2cm);
pair A, B, C;
A=(0,0); B=(1,0); C=(0,1);
draw(A--B--C--cycle);
draw (midpoint(A--B) -- C);
draw (B+0.5*(C-B) -- A);
draw (interp(A,C,0.5) -- B);
dot(A/3 + B/3 + C/3);
Asymptote Generalities – fig0230
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(2cm,0);
pair A=(0,0), B=(1,0), C=(0,1);
draw(A--B--C--cycle);
draw(A--B,linewidth(4bp));
Asymptote Generalities – fig0240
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(2cm,0);
pair A=(0,0), B=(1,0), C=(0,1);
draw(A--B--C--cycle);
draw(A--B,(red+green));
Asymptote Generalities – fig0250
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(2cm,0);
pair A=(0,0), B=(1,0), C=(0,1);
draw(A--B,.8white+6bp);
draw(A--C,.6white+6bp);
draw(B--C,.4white+6bp);
draw(A--B--C--cycle,yellow);
Asymptote Generalities – fig0260
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
path p1=(0,0)--(1,1);
path p2=(2,0)--(3,1);
draw(p1,linewidth(5mm));
draw(p2,linewidth(5mm));
draw(p1--p2,3mm+.8blue);
draw(reverse(p1)--p2,1mm+.8red);
Asymptote Generalities – fig0270
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
pair A=(0,0), B=(1,0);
dot("$A$",A,N);
dot("$B$",B,N);
draw(interp(A,B,-.5)--interp(A,B,1.25));
Asymptote Generalities – fig0280
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
unitsize(cm);
path line=(0,0)--(6,0);
draw(line,solid);
draw(shift(0,-1)*line,dotted);
draw(shift(0,-2)*line,dashed);
draw(shift(0,-3)*line,longdashed);
draw(shift(0,-4)*line,dashdotted);
draw(shift(0,-5)*line,longdashdotted);
Asymptote Generalities – fig0290
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
unitsize(1cm);
path line=(0,0)--(6,0);
pen my_pen=linetype("24 8 8 8");
draw(line,linetype("24 8 8 8"));
draw(shift(0,-1)*line,my_pen+.8red);
draw(shift(0,-2)*line,my_pen+.7green+4bp);
draw(shift(0,-3)*line,linetype("24 8 8 8",false)+.7blue+4bp);
draw(shift(0,-4)*line,linetype("24 8 8 8",true,false)+4bp);
draw(shift(0,-5)*line,linetype("24 8 8 8",false,false)+.5red+blue+4bp);
Asymptote Generalities – fig0300
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(8cm,0);
transform T=shift(0,-0.125);
path g=(0,0)--(1,0);
int i=-1;
draw(T^(++i)*g, Arrows());
draw(T^(++i)*g, 0.8*green, Arrows(SimpleHead));
draw(T^(++i)*g, 0.8*red, Arrows(SimpleHead,size=5mm));
draw(T^(++i)*g, Arrows(HookHead));
draw(T^(++i)*g, 0.8*green, Arrows(HookHead,size=5mm));
draw(T^(++i)*g, 0.8*red, Arrows(HookHead(barb=20),size=5mm));
draw(T^(++i)*g, 2mm+0.8*blue, Arrows(HookHead(dir=60),size=5mm, Fill));
draw(T^(++i)*g, 0.8*yellow, Arrows(HookHead(barb=-10,dir=40),size=5mm));
draw(T^(++i)*g, Arrows(TeXHead));
draw(T^(++i)*g, 0.8*green, Arrows(TeXHead,size=5bp));
draw(T^(++i)*g, 5bp+0.8*red, Arrows(TeXHead));
Asymptote Generalities – fig0310
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
path line=(0,0)--(5cm,0);
draw(line,Arrow);
draw(shift(0,-cm)*line, BeginArrow);
draw(shift(0,-2cm)*line, MidArrow);
draw(shift(0,-3cm)*line, Arrows);
draw(shift(0,-4cm)*line, linewidth(3bp), Arrow(20bp));
draw(shift(0,-5cm)*line, linewidth(3bp), BeginArrow(20bp));
draw(shift(0,-6cm)*line, linewidth(3bp), MidArrow(20bp));
draw(shift(0,-7cm)*line, linewidth(3bp), Arrows(20bp));
Asymptote Generalities – fig0320
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
path line=(0,0)--(5cm,0);
DefaultHead=HookHead;
draw(shift(6cm,0)*line,Arrow());
draw(shift(6cm,-cm)*line, BeginArrow());
draw(shift(6cm,-2cm)*line, MidArrow());
draw(shift(6cm,-3cm)*line, Arrows());
draw(shift(6cm,-4cm)*line, linewidth(3bp), Arrow(20bp));
draw(shift(6cm,-5cm)*line, linewidth(3bp), BeginArrow(20bp));
draw(shift(6cm,-6cm)*line, linewidth(3bp), MidArrow(20bp));
draw(shift(6cm,-7cm)*line, linewidth(3bp), Arrows(20bp));
Asymptote Generalities – fig0330
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
path line=(0,0)--(5cm,0);
DefaultHead=SimpleHead;
draw(shift(6cm,0)*line,Arrow());
draw(shift(6cm,-cm)*line, BeginArrow());
draw(shift(6cm,-2cm)*line, MidArrow());
draw(shift(6cm,-3cm)*line, Arrows());
draw(shift(6cm,-4cm)*line, linewidth(3bp), Arrow(20bp));
draw(shift(6cm,-5cm)*line, linewidth(3bp), BeginArrow(20bp));
draw(shift(6cm,-6cm)*line, linewidth(3bp), MidArrow(20bp));
draw(shift(6cm,-7cm)*line, linewidth(3bp), Arrows(20bp));
Asymptote Generalities – fig0340
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
path line=(0,0)--(5cm,0);
DefaultHead=TeXHead;
draw(shift(6cm,0)*line,Arrow());
draw(shift(6cm,-cm)*line, BeginArrow());
draw(shift(6cm,-2cm)*line, MidArrow());
draw(shift(6cm,-3cm)*line, Arrows());
draw(shift(6cm,-4cm)*line, linewidth(bp), Arrow());
draw(shift(6cm,-5cm)*line, linewidth(2bp), BeginArrow(5bp));
draw(shift(6cm,-6cm)*line, linewidth(2bp), MidArrow(5bp));
draw(shift(6cm,-7cm)*line, linewidth(2bp), Arrows(5bp));
Asymptote Generalities – fig0350
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
path line=(0,0)..(2.5cm,2.5cm)..(5cm,0);
draw(line,ArcArrow);
draw(shift(0,-2cm)*line,BeginArcArrow);
draw(shift(0,-4cm)*line,MidArcArrow);
draw(shift(0,-6cm)*line,ArcArrows);
draw(shift(6cm,0)*line,3bp+.8red,ArcArrow(20bp));
draw(shift(6cm,-2cm)*line,3bp+.8red,BeginArcArrow(20bp));
draw(shift(6cm,-4cm)*line,3bp+.8red,MidArcArrow(20bp));
draw(shift(6cm,-6cm)*line,3bp+.8red,ArcArrows(20bp));
Asymptote Generalities – fig0360
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
DefaultHead=HookHead;
path line=(0,0)..(2.5cm,2.5cm)..(5cm,0);
draw(line,ArcArrow());
draw(shift(0,-2cm)*line,BeginArcArrow());
draw(shift(0,-4cm)*line,MidArcArrow());
draw(shift(0,-6cm)*line,ArcArrows());
draw(shift(6cm,0)*line,3bp+.8red,ArcArrow(20bp));
draw(shift(6cm,-2cm)*line,3bp+.8red,BeginArcArrow(20bp));
draw(shift(6cm,-4cm)*line,3bp+.8red,MidArcArrow(20bp));
draw(shift(6cm,-6cm)*line,3bp+.8red,ArcArrows(20bp));
Asymptote Generalities – fig0370
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
DefaultHead=SimpleHead;
path line=(0,0)..(2.5cm,2.5cm)..(5cm,0);
draw(line,ArcArrow());
draw(shift(0,-2cm)*line,BeginArcArrow());
draw(shift(0,-4cm)*line,MidArcArrow());
draw(shift(0,-6cm)*line,ArcArrows());
draw(shift(6cm,0)*line,3bp+.8red,ArcArrow(20bp));
draw(shift(6cm,-2cm)*line,3bp+.8red,BeginArcArrow(20bp));
draw(shift(6cm,-4cm)*line,3bp+.8red,MidArcArrow(20bp));
draw(shift(6cm,-6cm)*line,3bp+.8red,ArcArrows(20bp));
Asymptote Generalities – fig0380
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
DefaultHead=TeXHead;
path line=(0,0)..(2.5cm,2.5cm)..(5cm,0);
draw(line,Arrow());
draw(shift(0,-2cm)*line,BeginArrow());
draw(shift(0,-4cm)*line,MidArrow());
draw(shift(0,-6cm)*line,Arrows());
draw(shift(6cm,0)*line,3bp+.8red,Arrow(5bp));
draw(shift(6cm,-2cm)*line,3bp+.8red,BeginArrow(5bp));
draw(shift(6cm,-4cm)*line,3bp+.8red,MidArrow(5bp));
draw(shift(6cm,-6cm)*line,3bp+.8red,Arrows(5bp));
Asymptote Generalities – fig0390
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
path line=(0,0)--(5cm,0);
draw(line,Arrow(20bp,filltype=NoFill));
draw(shift(0,-cm)*line,Arrow(20bp,filltype=FillDraw(.8red)));
draw(shift(0,-2cm)*line,Arrow(20bp,filltype=Fill(.8red)));
draw(shift(0,-3cm)*line,Arrows(filltype=FillDraw(-10,10,.8red)));
Asymptote Generalities – fig0400
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
DefaultHead=HookHead;
path line=(0,0)--(5cm,0);
draw(line,Arrow(20bp,filltype=NoFill));
draw(shift(0,-cm)*line,Arrow(20bp,filltype=FillDraw(.8red)));
draw(shift(0,-2cm)*line,Arrow(20bp,filltype=Fill(.8red)));
draw(shift(0,-3cm)*line,Arrows(filltype=FillDraw(-10,10,.8red)));
Asymptote Generalities – fig0410
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
DefaultHead=TeXHead;
path line=(0,0)--(5cm,0);
draw(line,Arrow(10bp,filltype=NoFill));
draw(shift(0,-2cm)*line,Arrow(10bp,filltype=FillDraw(.8red)));
draw(shift(0,-4cm)*line,Arrow(10bp,filltype=Fill(.8red)));
draw(shift(0,-6cm)*line,Arrows(filltype=FillDraw(-10,10,.8red)));
Asymptote Generalities – fig0420
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
path line=(0,0)--(5cm,0);
draw(line,linewidth(5bp),Arrow);
draw(shift(0,-2cm)*line,linewidth(5bp),Arrow(30bp,10));
draw(shift(0,-5cm)*line,linewidth(30bp),Arrow(20bp,50));
draw(shift(0,-8cm)*line,linewidth(10bp),Arrow(20bp,50,filltype=NoFill));
Asymptote Generalities – fig0430
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(5cm,0);
path line=(0,0)--(5,0);
draw(line,Arrow(20bp,position=.75));
draw(shift(0,-2)*line,Arrow(20bp,40,.75,filltype=NoFill));
position pos=BeginPoint;
pos.position=.75;
draw(shift(0,-4)*line,BeginArrow(20bp,pos));
draw(shift(0,-6)*line,BeginArrow(20bp,40,pos,filltype=NoFill));
Asymptote Generalities – fig0460
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(5cm,0);
path line=(0,0)--(5,0);
transform T=shift(0,-1);
draw(line, Bar);
draw(T*line, BeginBar);
draw(T^2*line, Bars);
draw(T^3*line, Arrow, BeginBar);
Asymptote Generalities – fig0470
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
path line=(0,0)--(5cm,0);
transform T=shift(0,-cm);
draw(line,linewidth(1mm),Bars);
draw(T^2*line,Bars(5mm));
draw(T^3*line,linewidth(1mm),Bars(5mm));
draw(T^4*line,dotted+red,Bars);
Asymptote Generalities – fig0480
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
draw((-.5,0)--(1,0));
draw((0,-.5)--(0,1));
draw((0,0)--(.75,0),linewidth(1mm),Arrow(3mm));
draw((0,0)--(0,.75),linewidth(1mm),Arrow(3mm));
Asymptote Generalities – fig0490
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
fill((0,0)--(0,2cm)--(2cm,0)--cycle,gray);
Asymptote Generalities – fig0500
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
filldraw((0,0)--(0,2cm)--(2cm,0)--cycle,gray);
Asymptote Generalities – fig0510
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
filldraw((0,0)--(0,2cm)--(2cm,0)--cycle,fillpen=gray,drawpen=linewidth(1mm)+.8red);
Asymptote Generalities – fig0600
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(3cm,0);
pair A, B, C, D;
A=(0,0); B=(1,0);
C=(1,1); D=(0,1);
fill(A--C--B--D--cycle,grey);
Asymptote Generalities – fig0610
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(3cm,0);
pair A, B, C, D;
A=(0,0); B=(1,0);
C=(1,1); D=(0,1);
filldraw(A--C--B--D--cycle,grey);
Asymptote Generalities – fig0620
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(10cm,0);
path cle=unitcircle;
draw((-1.5,0)--(2.5,0),linewidth(10mm));
filldraw(cle,red+opacity(.5));
filldraw(shift((1,0))*cle,blue+opacity(.5));
shipout(format="pdf");
/*Others examples here.*/
Asymptote Generalities – fig0630
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
pair O=0;
dot("N",O,N);
dot("S",O,S);
dot("E",O,E);
dot("W",O,W);
Asymptote Generalities – fig0640
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
pair O=0;
labelmargin=2;
dot("N",O,N);
dot("S",O,S);
dot("E",O,E);
dot("W",O,W);
Asymptote Generalities – fig0650
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
pair O=0;
dot("N",O,10N);
draw("S",O,10S);
draw("E",O,10E);
draw("W",O,10W);
draw("NE",O,5NE);
draw("SE",O,5SE);
draw("NW",O,5NW);
draw("SW",O,5SW);
Asymptote Generalities – fig0660
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
pair O=0;
draw(scale(2)*Label("N",.8red),O,10*N,linewidth(3mm));
draw(scale(2)*Label("S",.8red),O,10*S);
draw(scale(2)*Label("E",.8red),O,10*E);
draw(scale(2)*Label("W",.8red),O,10*W);
draw(rotate(45)*Label("NE"),O,5NE);
draw(rotate(-45)*Label("SE"),O,5SE);
draw(rotate(-45)*Label("NW"),O,5NW);
draw(rotate(45)*Label("SW"),O,5SW);
Asymptote Generalities – fig0670
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
pair O=0;
dot(O);
label("$\frac{\pi^2}{2}$",O);
Asymptote Generalities – fig0680
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
dot(Label("$\frac{\pi^2}{2}$",(0,0),align=E));
Asymptote Generalities – fig0690
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
label(scale(10)*Label("$\pi$"),(0,0));
Asymptote Generalities – fig0700
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
texpreamble("\usepackage{manfnt}");
label(scale(3)*Label("\textdbend"),(0,0));
Asymptote Generalities – fig0710
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
dot(Label("$A$"),(0,0),S);
Asymptote Generalities – fig0720
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,4cm);
dot(Label("$A$"),(0,0),S);
draw(E--W,invisible);
draw(N--S,invisible);
shipout(bbox());
Asymptote Generalities – fig0730
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
dot(Label("$A$",fontsize(20pt)),(0,0),NE);
Asymptote Generalities – fig0740
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
defaultpen(fontsize(20pt));
dot(Label("$A$"),(0,0),NE);
dot(Label("$B$"),(2cm,0),NE+N);
Asymptote Generalities – fig0750
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
label(rotate(45)*"\textbf{Hello}");
Asymptote Generalities – fig0780
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
label(scale(4)*"\textbf{Cancel}");
draw((min(currentpicture).x,0)--(max(currentpicture).x,0), 2bp+yellow);
Asymptote Generalities – fig0790
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
label(scale(4)*"\textbf{Cancel}");
layer();
draw((min(currentpicture).x,0)--(max(currentpicture).x,0), 2bp+yellow);
Asymptote Generalities – fig0800
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(3cm,0);
path line1=(0,0)--(1,0);
path line2=(0,0)--(1,1);
pair bissec=dir(line1,line2);
draw(line1); draw(line2);
dot(bissec,linewidth(3bp));
draw(-.5bissec--bissec,dotted);
dot("$A$",(0,0),-bissec);
Asymptote Generalities – fig0810
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
pair A=0, B=(1,0), C=(2,2);;
draw(A--B--C--cycle);
dot("$A$",A,dir(C--A,B--A));
dot("$B$",B,dir(C--B,A--B));
dot("$C$",C,dir(A--C,B--C));
Asymptote Generalities – fig0820
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
path line=(0,0)--(3cm,0);
transform T=shift(0,-cm);
draw("$A$",line);
draw("$B$",T*line,dir(0));
draw("$C$",T^2*line,N);
draw(Label("$D$",fontsize(14pt)),T^3*line);
Asymptote Generalities – fig0830
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
path line=(0,0)--(3cm,0);
transform T=shift(0,-cm);
draw(Label("A",align=Center,filltype=UnFill), line);
draw(Label("B",UnFill), T*line, Center);
draw(Label("C",align=Center,position=Relative(.75),UnFill), T^2*line);
draw(Label("D",position=Relative(.25),UnFill), align=Center, T^3*line);
Asymptote Generalities – fig0840
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
pair c=0;
label("abc xyz ijk",c,Align,basealign);
label("abc xyz ijk",c,Align,red);
draw(c--(c+(2cm,0))); // This is the baseline.
shipout((scale(3)*currentpicture.fit()));
Asymptote Generalities – fig0850
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(3cm,0);
pair A=0, B=(1,0), C=(1,1);
draw("$1$",A--B);
draw("$1$",B--C);
draw("$\sqrt{2}$",C--A);
Asymptote Generalities – fig0860
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(3cm,0);
pair A=0, B=(1,0), C=(1,1);
draw("$1$",A--B);
draw("$1$",B--C);
// draw(rotate(dir(C--A))*"$\sqrt{2}$",C--A);
draw(Label("$\sqrt{2}$",Rotate(-dir(C--A))),C--A);
Asymptote Generalities – fig0870
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(3cm,0);
path g=(1,1)--(3,2);
draw(Label("a text",Rotate(dir(g))), g);
draw(Label("a text",red,Rotate(-dir(g)),align=I*dir(g)), g);
Asymptote Generalities – fig0880
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=(0,0), B=(4cm,0);
path line=A--B;
transform TD=shift(0,-cm);
transform TR=shift(2.5cm,0);
defaultpen(linewidth(3bp));
draw("$AB$",line,.8red,Arrows(3mm));
draw("$A$",A,N); draw("$B$",B,N);
draw("$AB$",TD*line,.8red,Arrows(3mm),PenMargins);
draw("$A$",TD*A,N); draw("$B$",TD*B,N);
draw("$AB$",TD^2*line,.8red,Arrows(3mm),DotMargins);
dot("$A$",TD^2*A,dotfactor*NW); dot("$B$",TD^2*B,dotfactor*NE);
margin BigMargins=Margin(2,2);
draw("$AB$",TD^3*line,.8red,Arrows(3mm),BigMargins);
draw("$A$",TD^3*A,N); draw("$B$",TD^3*B,N);
Asymptote Generalities – fig0910
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0;
dot(A);
arrow("1",A,NE,2cm);
arrow("2",A,SE,1cm);
arrow("3",A,SW,1.5cm,Margin(3,0));
arrow("4",A,NW,1.5cm,N);
Asymptote Generalities – fig0920
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
draw(E--N--W--S--cycle,.5red+1mm);
draw(E..N..W..S..cycle);
dot(E..N..W..S..cycle,red);
Asymptote Generalities – fig0930
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair O=0;
draw(circle(O,2cm));
dot(circle(O,2cm),red+4bp);
Asymptote Generalities – fig0940
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm);
draw(unitcircle, dot);
dotfactor*=3;
draw(shift(-0.5,-0.5)*unitsquare, dot(blue,Fill(red)));
Asymptote Generalities – fig0950
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
real R=2cm;
draw(scale(R)*unitcircle);
dot((0,0),linewidth(4bp));
dot((R*cos(pi/6),R*sin(pi/6)),red+8bp);
Asymptote Generalities – fig0960
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
import graph;
path PerfectCircle=Circle((0,0),1);
draw(PerfectCircle,linewidth(2mm));
dot(PerfectCircle,.8red);
Asymptote Generalities – fig0970
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
//Return Circle AB diameter
path circle(pair A, pair B)
{
return shift(midpoint(A--B))*scale(abs(A-B)/2)*unitcircle;
}
pair A=(0,0), B=(1,0);
draw(circle(A,B));
dot(A--B);
Asymptote Generalities – fig0980
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
//Return Circle AB diameter
path circle(pair A, pair B)
{
return shift(midpoint(A--B))*scale(abs(A-B)/2)*unitcircle;
}
pair A=(0,0), B=(3,0), C=(2,1);
draw(A--B,.8blue);
draw(A--C,.8red);
draw(B--C,.8green);
draw(circle(A,B),.8blue);
draw(circle(A,C),.8red);
draw(circle(B,C),.8green);
Asymptote Generalities – fig0990
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
//Return Circle AB diameter
path circle(pair A, pair B)
{
return shift(midpoint(A--B))*scale(abs(A-B)/2)*unitcircle;
}
pair A=(0,0), B=(1,0), C=(2,0);
path cleAB=circle(A,B);
path cleAC=circle(A,C);
for(real t=0; t<length(cleAB); t+=0.01)
fill(circle(point(cleAB,t),point(cleAC,t)));
Asymptote Generalities – fig1000
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair O=0;
defaultpen(linewidth(2mm));
draw(arc(O,2cm,0,60),.8red,BeginPenMargin);
draw(arc(O,2cm,60,120),.7green,PenMargins);
draw(arc(O,-2cm,0,120),.7blue);
Asymptote Generalities – fig1020
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
real a=360/6;
for (int i = -1; i < 5; ++i)
fill(arc((0,0),1,i*a,(i+1)*a)--cycle,grey);
Asymptote Generalities – fig1030
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
real n=7, a=360/n;
for (int i = 0; i < n; ++i)
filldraw((0,0)--arc((0,0),1,i*a,(i+1)*a)--cycle, i/n*blue + (1-i/n)*green + grey);
Asymptote Generalities – fig1040
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
real a=360/6;
for (int i = -1; i < 5; ++i)
draw(Label(format("%i",i+1)),arc((0,0),10,i*a,(i+1)*a)--cycle,grey);
Asymptote Generalities – fig1050
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair x=0;
pair y=(-6.5cm,0);
label(format(6.66666), x, E);
label("format(6.66666)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=%f$", 6.66666), x, E);
label("format(\"\$x=\%f\$\", 6.66666)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=%.1f$", 6.66666), x, E);
label("format(\"\$x=\%.1f\$\", 6.66666)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=%.2f$", 6.66666), x, E);
label("format(\"\$x=\%.2f\$\", 6.66666)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=%.0f$", 6.66666), x, E);
label("format(\"\$x=\%.0f\$\", 6.6666)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=%07.3f$", 6.66666), x, E);
label("format(\"\$x=\%07.3f\$\", 6.6666)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=%7.3f$", 6.66666), x, E);
label("format(\"\$x=\% 7.3f\$\", 6.6666)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=%g$", 66.666), x, E);
label("format(\"\$x=\%g\$\", 66.66666)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=%g$", 666666.666), x, E);
label("format(\"\$x=\%g\$\", 666666.666)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=%g$", 666666666.666), x, E);
label("format(\"\$x=\%g\$\", 666666666.666)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=%e$", 666666.666), x, E);
label("format(\"\$x=\%e\$\", 666666.666)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=%.2e$", 666666.666), x, E);
label("format(\"\$x=\%.2e\$\", 666666.666)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=%i$", 6), x, E);
label("format(\"\$x=\%i\$\", 6)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=%f$", 6.0), x, E);
label("format(\"\$x=\%f\$\", 6.0)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=%+.2f$", 6.66666), x, E);
label("format(\"\$x=\%+.2f\$\", 6.66666)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=%+.2f$", -6.66666), x, E);
label("format(\"\$x=\%+.2f\$\", -6.66666)", y, E);
x+=(0,-1cm);y+=(0,-1cm);
label(format("$x=% .2f$", 6.666666), x, E);
label("format(\"\$x=\% .2f\$\", 6.666666)", y, E);
Asymptote Generalities – fig1070
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
// This file was compiled with this unix command: LC_NUMERIC="french" asy
size(0,0);
texpreamble("\usepackage[frenchb]{babel}");
pair x=0;
x+=(0,-1cm);
label(format("$x=%f$", 666666.666), x, E);
x+=(0,-1cm);
label(format("$x=%f$", pi), x, E);
x+=(0,-1cm);
label(format("$x=\nombre{%f}$", 666666.666), x, E);
x+=(0,-1cm);
label(format("$x=\nombre{%f}$", pi), x, E);
Asymptote Generalities – fig1100
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A, B, C;
A=(0,0); B=(3cm,0); C=(0,3cm);
draw(A--B--C--cycle);
filldraw(shift(A)*scale(4bp)*unitcircle, white);
filldraw(shift(B)*scale(4bp)*unitcircle, white);
filldraw(shift(C)*scale(4bp)*unitcircle, white);
Asymptote Generalities – fig1110
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
pair A=(0,0), B=(0,1), C=(1,0), D=(1,1);
draw(A..B..C..D);
dot(A);dot(B);dot(C);dot(D);
Asymptote Generalities – fig1120
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
import roundedpath;
pair A=(0,0), B=(0,1), C=(1,0), D=(1,1);
draw(roundedpath(A--B--C--D,.5));
dot(A--B--C--D);
Asymptote Generalities – fig1130
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
pair A=(0,0), B=(0,1), C=(1,0), D=(1,1);
draw(A--B..C..D);
dot(A--B--C--D);
Asymptote Generalities – fig1140
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
pair A=(0,0), B=(0,1), C=(1,0), D=(1,1);
draw(A..B..C..D--cycle);
dot(A);dot(B);dot(C);dot(D);
Asymptote Generalities – fig1150
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
pair A=(0,0), B=(0,1), C=(1,0), D=(1,1);
draw(A---B..C..D);
dot(A);dot(B);dot(C);dot(D);
Asymptote Generalities – fig1160
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
import roundedpath;
draw(roundedpath(unitsquare,.4));
dot(roundedpath(unitsquare,.4),red);
draw(unitsquare);
dot(unitsquare);
Asymptote Generalities – fig1170
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(4cm,0);
draw(A{N}..B);
dot(A{N}..B);
Asymptote Generalities – fig1180
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(4cm,0);
draw(A{N}..B{E});
dot(A{N}..B{E});
Asymptote Generalities – fig1190
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(4cm,0);
draw(A{dir(90)}..B{dir(0)});
dot(A{dir(90)}..B{dir(0)});
Asymptote Generalities – fig1200
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(4cm,0);
draw(A{dir(90)}..B{dir(180)});
dot(A{dir(90)}..B{dir(180)});
Asymptote Generalities – fig1210
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(4cm,0);
draw(A{N}..B{N});
dot(A{N}..B{N});
Asymptote Generalities – fig1220
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(4cm,0);
draw(A{N}..B{N}..cycle);
dot(A{N}..B{N}..cycle);
Asymptote Generalities – fig1230
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
//From documentation of Asymptote
size(0,6cm);
guide center = (0,1){W}..tension 0.8..(0,0){(1,-.5)}..tension 0.8..{W}(0,-1);
draw((0,1)..(-1,0)..(0,-1));
filldraw(center{E}..{N}(1,0)..{W}cycle);
unfill(circle((0,0.5),0.125));
fill(circle((0,-0.5),0.125));
Asymptote Generalities – fig1250
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(2cm,2cm), C=(4cm,0);
draw(A..B..C);
draw(A{curl 0}..B..{curl 0}C,red);
dot(A--B--C);
Asymptote Generalities – fig1260
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(2cm,2cm), C=(4cm,0);
draw(A..B..C,linewidth(3mm));
draw(A{curl 1}..B..{curl 1}C,2mm+.8red);
dot(A--B--C);
Asymptote Generalities – fig1270
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(3cm,4cm), C=(6cm,0);
draw(A..B..C);
draw(A{curl 0}..B..{curl 0}C,1mm+red+grey);
draw(A{curl 5}..B..{curl 0}C,1mm+green+grey);
draw(A{curl 10}..B..{curl 0}C,1mm+blue+grey);
draw(A{curl 10}..B..{curl 10}C,1mm+yellow+grey);
dot(A--B--C);
Asymptote Generalities – fig1280
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(3cm,0.5cm), C=(6cm,0);
draw(A{N}..B{E}..C{S});
draw(A{N}::B{E}::C{S},red);
dot(A--B--C);
Asymptote Generalities – fig1290
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(3cm,5cm), C=(6cm,0);
defaultpen(1mm);
draw(A..B..C);
draw(A.. tension .75 ..B.. tension .75 ..C,grey);
draw(A.. tension 1.5 ..B.. tension 1.5 ..C,.8red);
draw(A.. tension 2 ..B.. tension 2 ..C,green+grey);
draw(A.. tension 10 ..B.. tension 10 ..C,blue+grey);
dot(A--B--C,linewidth(6bp));
Asymptote Generalities – fig1300
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(3cm,5cm), C=(6cm,0);
defaultpen(1mm);
draw(A..B..C);
draw(A.. tension 10 and 1 ..B.. tension 1 and 10 ..C,grey);
draw(A.. tension 1 and 10 ..B.. tension 10 and 1 ..C,.8red);
draw(A.. tension 2 and 1 ..B.. tension 1 and 2 ..C,blue+grey);
dot(A--B--C,linewidth(6bp));
Asymptote Generalities – fig1310
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(3cm,5cm), C=(6cm,0);
defaultpen(1mm);
draw(A..B..C);
draw(A.. tension 5 and 3 ..B.. tension 1 and 5 ..C,grey);
draw(A.. tension 5 and 1 ..B.. tension 3 and 5 ..C,.8red);
dot(A--B--C,linewidth(6bp));
Asymptote Generalities – fig1320
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(3cm,5cm), C=(6cm,0);
pair ctrl_rgt_A, ctrl_lft_B, ctrl_rgt_B, ctrl_lft_C;
ctrl_rgt_A=A+2cm*E;
ctrl_lft_B=B+3cm*W;
ctrl_rgt_B=B+3cm*E;
ctrl_lft_C=C+2cm*W;
draw(A..B..C);
draw(A.. controls ctrl_rgt_A and ctrl_lft_B ..B.. controls ctrl_rgt_B and ctrl_lft_C ..C,1mm+grey);
dot(A--B--C,linewidth(6bp));
draw((A--ctrl_rgt_A),Arrow, p=grey);
draw((B--ctrl_rgt_B),Arrow, p=grey);
draw((B--ctrl_lft_B),Arrow, p=grey);
draw((C--ctrl_lft_C),Arrow, p=grey);
Asymptote Generalities – fig1330
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair A=0, B=(3cm,5cm), C=(6cm,0);
pair ctrl_rgt_A, ctrl_lft_B, ctrl_rgt_B, ctrl_lft_C;
ctrl_rgt_A=A+2cm*NE;
ctrl_lft_B=B+5cm*SW;
ctrl_rgt_B=B+2cm*SE;
ctrl_lft_C=C+5cm*NW;
draw(A..B..C);
draw(A.. controls ctrl_rgt_A and ctrl_lft_B ..B.. controls ctrl_rgt_B and ctrl_lft_C ..C,1mm+grey);
dot(A--B--C,linewidth(6bp));
draw((A--ctrl_rgt_A),Arrow, p=grey);
draw((B--ctrl_rgt_B),Arrow, p=grey);
draw((B--ctrl_lft_B),Arrow, p=grey);
draw((C--ctrl_lft_C),Arrow, p=grey);
Asymptote Generalities – fig1340
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(8cm);
path p1 = (0,0){up}..(5,4)..(10,0){down};
pair post0=postcontrol(p1,0);
pair pre1=precontrol(p1,1);
pair post1=postcontrol(p1,1);
pair pre2=precontrol(p1,2);
dot(post0^^pre1^^post1^^pre2);
path p2 = (0,0)..controls post0 and pre1..(5,4)..controls post1 and pre2..(10,0);
draw(p1,2mm+red);
draw(p2,linewidth(1mm));
Asymptote Generalities – fig1350
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
path pt1=scale(2cm)*unitcircle;
path pt2=scale(1cm)*unitcircle;
draw(pt1^^pt2);
dot(pt1^^pt2);
Asymptote Generalities – fig1360
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
path cle=scale(2cm)*unitcircle;
draw(cle);
for(real i=0; i<=length(cle); i+=.2)
{
dot(point(cle,i));
draw((0,0)--point(cle,i),dotted);
}
Asymptote Generalities – fig1370
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
path cle=scale(2cm)*unitcircle;
draw(cle);
for(real i=0; i<=length(cle); i+=.2)
draw(point(cle,i)--2cm*dir(cle,i)+point(cle,i),Arrow,p=i/length(cle)*red);
Asymptote Generalities – fig1380
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
path cle=scale(2cm)*reverse(unitcircle);
draw(cle);
for(real i=0; i<=length(cle); i+=.2)
draw(point(cle,i)--2cm*dir(cle,i)+point(cle,i),Arrow,p=i/length(cle)*red);
Asymptote Generalities – fig1390
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(8cm,0);
pair O=(0,0);
path p=(0,0){dir(0)}..{dir(45)}(2,2){dir(-45)}..{dir(0)}(4,0);
pair En1=dir(p, 1, -1);
pair En2=dir(p, 2, -1);
draw(p);
draw(Label("dir(p,1,-1)", EndPoint), point(p,1)--point(p,1)+En1, red, Arrow);
draw(Label("dir(p,2,-1)", EndPoint), point(p,2)--point(p,2)+En2, red, Arrow);
pair Ep0=dir(p, 0, 1);
pair Ep1=dir(p, 1, 1);
draw(Label("dir(p,0,1)", EndPoint), point(p,0)--point(p,0)+Ep0, blue, Arrow);
draw(Label("dir(p,1,1)", EndPoint, E), point(p,1)--point(p,1)+Ep1, blue, Arrow);
draw(p, dot);
Asymptote Generalities – fig1400
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
path cle=scale(2cm)*reverse(unitcircle);
draw(cle);
for(real i=0; i<=length(cle); i+=.2)
draw(point(cle,i)--(1cm*I*dir(cle,i))+point(cle,i),Arrow,p=i/length(cle)*red);
Asymptote Generalities – fig1420
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
path curv=reverse((0,2){dir(-60)}..(1,0)..{dir(60)}(2,2));
draw(curv);
for(real i=0; i<=length(curv); i+=.1)
draw(point(curv,i)--dir(curv,i)+point(curv,i),grey);
Asymptote Generalities – fig1430
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(10cm,0);
path curv=reverse((0,2){dir(10)}..(1,0)..{dir(-50)}(3,2));
guide dirc;
draw(curv,linewidth(1mm)+grey);
for(real i=0; i<=length(curv); i+=.005)
{
draw(point(curv,i)--dir(curv,i)+point(curv,i),grey+yellow);
dirc=dirc..dir(curv,i)+point(curv,i);
}
draw(dirc,grey);
Asymptote Generalities – fig1440
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
// Author: John Bowman
pair[] z=new pair[10];
z[0]=(0,100); z[1]=(50,0); z[2]=(180,0);
for(int n=3; n <= 9; ++n)
z[n]=z[n-3]+(200,0);
path p=z[0]..z[1]---z[2]---z[3]
&z[3]..z[4]--z[5]::{up}z[6]
&z[6]::z[7]---z[8]..{up}z[9];
defaultpen(linewidth(1));
draw(p, grey);
dot(p);
real len=50;
for(int i = 0; i < z.length; ++i) {
pair z=point(p,i);
draw(z--z+len*dir(p,i,-1),red);
draw(z--z+len*dir(p,i,1),blue+dashed);
draw(z-len*dir(p,i)--z+len*dir(p,i),green+Dotted(defaultpen()));
}
Asymptote Generalities – fig1450
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(10cm,0);
import math;
path cle=unitcircle;
path curv=reverse((1.5,2){dir(-60)}..(2.5,0)..{dir(60)}(3.5,2));
draw(cle);
draw(curv);
pair pt_cle=point(cle, 1.35);
pair pt_dir_cle=dir(cle, 1.35);
drawline((pt_cle - pt_dir_cle), (pt_cle + pt_dir_cle), red);
pair pt_curv=point(curv, dirtime(curv, pt_dir_cle));
drawline((pt_curv - pt_dir_cle), (pt_curv + pt_dir_cle), blue);
Asymptote Generalities – fig1460
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
pair O=(2cm,2cm);
path cle=shift(O)*scale(2cm)*unitcircle;
pair M=point(cle,.6);
dot("$O$",O,SW);
dot("$M$",M,unit(M-O));
draw(cle);
draw((0,0)--(0,4cm),Arrow);
draw((0,0)--(4cm,0),Arrow);
draw(Label("$X_M$",position=EndPoint),M--(xpart(M),0),dotted);
draw(Label("$Y_M$",position=EndPoint),M--(0,ypart(M)),dotted);
Asymptote Generalities – fig1470
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
path p= scale(1cm)*unitcircle;
draw(p,red+1mm);
draw(shift(1mm,2mm)*p);
draw(shift(2*(1mm,2mm))*p);
draw(shift(3*(1mm,2mm))*p);
draw(shift(4*(1mm,2mm))*p);
draw(shift(5*(1mm,2mm))*p);
Asymptote Generalities – fig1480
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
path p= (5mm,-5mm){right} .. (2cm,0);
for(int i=10; i<360; i+=10)
draw(rotate(i)*p);
draw(p,red+1mm);
Asymptote Generalities – fig1490
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
path p= (1,-1){right} .. (4,0);
pair O=(3,.25);
for(int i=10; i<360; i+=10)
draw(rotate(i,O)*p);
dot(O,blue);
draw(p,red+1mm);
Asymptote Generalities – fig1500
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
path curv=(0,0)..(1,1)..(1.5,-1)..(3,0);
pair A=(0,-1), B=(3,.75);
defaultpen(1mm);
draw(curv);
draw(reflect(A,B)*curv,.8red);
draw(A--B,grey);
Asymptote Generalities – fig1510
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
path cle=unitcircle;
draw(cle,red);
draw(xscale(2)*cle);
draw(yscale(2)*cle);
draw(scale(2)*cle,blue);
Asymptote Generalities – fig1520
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(8cm,0);
transform scale(pair center, real k)
{
return shift(center)*scale(k)*shift(-center);
}
path cle=unitcircle;
pair A=(4,0);
draw(cle);
draw(scale(A,.5)*cle,red);
draw(scale(A,-.75)*cle,blue);
for (real t; t<length(cle); t+=1)
draw(point(cle,t)--point(scale(A,-.75)*cle,t),dotted);
dot("$A$",A,N);
Asymptote Generalities – fig1540
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(10cm,0);
path unitpolygon(int n)
{
guide opath;
for (int i=1; i<=n; ++i)
opath=opath--rotate((i-1)*360/n)*E;
return opath--cycle;
}
for (int i=3; i<9; ++i)
draw(shift(2.5*(i%3),-2.5*quotient(i,3))*unitpolygon(i));
Asymptote Generalities – fig1580
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
label(graphic("dali.eps","width=5cm"));
layer();
draw(scale(2cm)*unitcircle,linewidth(.75mm));
shipout(bbox(.25cm,Fill));
Asymptote Generalities – fig1590
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
label(graphic("dali.eps","width=5cm, bb=60 60 235 205, clip=true"));
shipout(bbox(.25cm,Fill));
Asymptote Generalities – fig1600
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,4cm);
texpreamble("\usepackage{amsmath}
\DeclareMathOperator{\e}{e}");
pair A=2*expi(pi/3);
draw((0,-2)--(0,2.5));
draw((0,0)--(1,0),linewidth(1mm),Arrow(2mm));
draw((0,0)--(3.5,0));
draw((0,0)--(0,1),linewidth(1mm),Arrow(2mm));
dot(Label("$A(z_a=2\e^{i\frac{\pi}{3}})$"),A,NE);
label(format("$\vert z_a\vert=%.1f$",length(A)),(.5,-1),E);
label(format("$\arg(z_a)\simeq%.4f$",angle(A)),(.5,-2),E);
Asymptote Generalities – fig1610
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(10cm,0);
texpreamble("\usepackage{amsmath}
\DeclareMathOperator{\e}{e}");
pair A=2*expi(pi/3);
pair B=expi(pi/6);
pair C=A*B;
pair D=C-B;
pair Bp=2*B;
pair E=I*D;
draw((0,-2)--(0,2.5));
draw((0,0)--(1,0),linewidth(1mm),Arrow(2mm));
draw((-3,0)--(3.5,0));
draw((0,0)--(0,1),linewidth(1mm),Arrow(2mm));
dot(Label("$A(z_a=2\e^{i\frac{\pi}{3}})$"),A);
dot(Label("$B(z_a=\e^{i\frac{\pi}{6}})$"),B);
dot(Label("$B'(z_{b'}=2z_b)$"),Bp);
dot(Label("$\overline{A}(\overline{z_a})$"),conj(A));
dot(Label("$C(z_c=z_a z_c)$"),C,NE);
dot(Label("$D(z_d=z_c-z_d)$"),D,NW);
dot(Label("$E(z_e=iz_d)$"),E,NW);
Asymptote Generalities – fig1620
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
pair A=2expi(pi/2);
pair homography(pair z)
{
return (z^2+A)/(z+2);
}
guide image;
pair tpt;
draw(unitcircle);
for(real t=0; t<length(unitcircle);t+=.05)
{
tpt=homography(point(unitcircle,t));
image=image..tpt;
draw(point(unitcircle,t)--tpt,dotted);
}
draw(image..cycle,red);
Asymptote Generalities – fig1630
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(4cm,0);
path apath=(0,0)..(1,1)..(2,-1){dir(-90)};
draw(apath);
dot(apath);
dot(point(apath,length(apath)),.8green+8pt);
draw(point(apath,0)--point(apath,1)--point(apath,2),.8red);
draw(point(apath,0.5)--point(apath,1.5)--point(apath,2.5),.8blue);
Asymptote Generalities – fig1640
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
path apath=(0,0)..(1,1)..(2,.5){dir(0)};
draw(subpath(apath,0,length(apath)/2),1pt+.8red,EndPenMargin);
draw(subpath(apath,length(apath)/2,length(apath)),1pt+.8blue,BeginPenMargin);
Asymptote Generalities – fig1650
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(10cm,0);
texpreamble("\usepackage{amsmath}");
path p = (0,0)..(1,1)..(2,.5){dir(0)};
real al = arclength(p);
real l = length(p);
pair pt = point(p,l/2);
pair apt = arcpoint(p,al/2);
draw(p);
draw(subpath(p,0,arctime(p,al/2)),blue);
dot(pt,red);
dot(apt,blue);
arrow("$\frac{\text{lenght(p)}}{2}$",pt,SSE,1cm);
arrow("$\frac{\text{arclenght(p)}}{2}$",apt,SSW,1cm);
label("\small The sizes of the blue path and the black path are equal",(1,.25));
Asymptote Generalities – fig1660
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(10cm,0);
path apath=(0,0)..(1,1)..(2,.5){dir(0)};
real l=length(apath);
real step=l/15;
for(real i=0; i<l-step; i+=step)
draw(subpath(apath,i,i+step),4bp+(i/l*red+(l-i)/l*blue),PenMargins);
draw(apath);
Asymptote Generalities – fig1670
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(10cm,0);
path apath=(0,0)..(1,1)..(2,.5){dir(0)};
real l=arclength(apath);
real step=l/15;
path arcpath(path apath, real t1, real t2)
{
return subpath(apath, arctime(apath,t1), arctime(apath,t2));
}
for(real i=0; i<l-step; i+=step)
draw(arcpath(apath,i,i+step),4bp+(i/l*red+(l-i)/l*blue),PenMargins);
draw(apath);
Asymptote Generalities – fig1690
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
import labelpath;
unitsize(5cm);
string text="\Huge A text along a curve";
path p=(0,0)..(1,1)..(2,0.5){dir(0)};
labelpath(text,p);
draw(p, lightgrey);
Asymptote Generalities – fig1700
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
path pth1=(0,-0.5)--(2,1);
path pth2=(0,0.5)--(2,-1);
draw(pth1^^pth2);
dot(intersectionpoint(pth1,pth2),red);
Asymptote Generalities – fig1710
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
path p = (0,0){up} .. (2cm,0){up};
path q = (0,1cm){dir(-60)}..(1cm,-1cm)..{dir(60)}(2cm,1cm);
draw(p^^q);
dot(intersectionpoint(p,q) , red);
dot(intersectionpoint(p,reverse(q)) , blue);
Asymptote Generalities – fig1720
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
import math;
pair A=(0,-.5), B=A+dir(45);
pair C=(0,1), D=C+5dir(20);
pair I=extension(A,B,C,D);
path AB=A--B;
path CD=C--D;
draw(AB^^CD);
dot("$I$",I,N,red);
draw(B--I,1pt+dotted);
dot("$A$",A,SE);
dot("$B$",B,SE);
dot("$C$",C,N);
dot("$D$",D,N);
Asymptote Generalities – fig1730
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
import math;
pair A=(0,-.5), B=A+dir(45);
pair C=(0,1)+2dir(20);
path cle=shift(C)*scale(1)*unitcircle;
pair I1=intersectionpoint(A--interp(A,B,2),cle);
pair I2=intersectionpoint(A--interp(A,B,10),cle);
path AB=A--B;
draw(AB^^cle);
dot(I1^^I2,red);
draw(B--I2,1pt+dotted);
Asymptote Generalities – fig1740
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
path Line(pair A, pair B)
{
return interp(A,B,-100000/arclength(A--B))--interp(A,B,100000/arclength(A--B));
}
path Parallel(pair A, pair dir)
{
return Line(A,A+dir);
}
pair A=0, B=(1,0), C=(.7,.7);
draw(A--B, .8red);
draw(A--C, .8green);
draw(B--C, .8blue);
label("$A$",A,SW);
label("$B$",B,SE);
label("$C$",C,N);
pair Ap=intersectionpoint(Parallel(B, A-C), Parallel(C, A-B));
pair Bp=intersectionpoint(Parallel(A, B-C), Parallel(C, A-B));
pair Cp=intersectionpoint(Parallel(A, B-C), Parallel(B, A-C));
draw(Ap--Bp, .8red);
draw(Ap--Cp, .8green);
draw(Bp--Cp, .8blue);
label("$A'$",Ap,NE);
label("$B'$",Bp,NW);
label("$C'$",Cp,S);
Asymptote Generalities – fig1750
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
path p = (0,0){up} .. (2cm,0){up};
path q = (0,1cm){dir(-60)}..(1cm,-1cm)..{dir(60)}(2cm,1cm);
draw(p, red);
draw(q, blue);
dot(intersectionpoint(p,q));
draw(point(p, intersect(p,q)[0])--postcontrol(p, intersect(p,q)[0]), .8red,Arrow);
draw(point(q, intersect(p,q)[1])--postcontrol(q, intersect(p,q)[1]), .8blue,Arrow);
Asymptote Generalities – fig1770
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
import math;
pair A=(0,0), B=(1,.5);
path cle=shift(1.75,2.5)*unitcircle;
pair pt, ptp;
pair project(pair pt, pair A, pair B)
{
return extension(pt,pt-dir(90+degrees(A-B,false)),A,B);
}
draw(A--B);
draw(cle);
for (real t=0; t<=4; t+=.01)
{
pt=point(cle,t);
ptp=project(pt,A,B);
dot(ptp, red);
draw(pt--ptp,dotted);
}
Asymptote Generalities – fig1780
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
import math;
pair A=(0,0), B=(1,.5), C=(.25,1);
pair project(pair pt, pair A, pair B)
{
return extension(pt,pt-dir(90+degrees(A-B,false)),A,B);
}
pair ocenter(pair A, pair B, pair C)
{
return extension(A, project(A,B,C), B, project(B,A,C));
}
draw(A--B--C--cycle);
pair orth=ocenter(A,B,C);
pair Ap=project(A,B,C);
pair Bp=project(B,A,C);
pair Cp=project(C,A,B);
dot(orth, red);
dot(Ap^^Bp^^Cp);
drawline(A, orth, dotted);
drawline(B, orth, dotted);
drawline(C, orth, dotted);
Asymptote Generalities – fig1790
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
import math;
pair A=(0,0), B=(1,.5), C=(.25,1);
pair ccenter(pair A, pair B, pair C)
{
pair mAB=midpoint(A--B);
pair mAC=midpoint(A--C);
return extension(mAB, rotate(90,mAB)*A, mAC, rotate(90,mAC)*A);
}
draw(A--B--C--cycle);
pair circ=ccenter(A,B,C);
pair mAB=midpoint(A--B);
pair mAC=midpoint(A--C);
pair mBC=midpoint(B--C);
dot(circ, red);
dot(mAB^^mAC^^mBC);
drawline(mAB, circ, dotted);
drawline(mAC, circ, dotted);
drawline(mBC, circ, dotted);
draw(shift(circ)*scale(abs(circ-A))*unitcircle);
Asymptote Generalities – fig1800
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
import math;
pair A=(0,0), B=(1,.5), C=(.25,1);
pair project(pair pt, pair A, pair B)
{
return extension(pt,pt-dir(90+degrees(A-B,false)),A,B);
}
pair icenter(pair A, pair B, pair C)
{
return extension(A, A+dir(A--B,A--C), B, B+dir(B--A,B--C));
}
draw(A--B--C--cycle);
pair ins=icenter(A,B,C);
pair iAB=project(ins,A,B);
pair iAC=project(ins,A,C);
pair iBC=project(ins,B,C);
dot(ins, red);
dot(iAB^^iAC^^iBC);
drawline(A, ins, dotted);
drawline(B, ins, dotted);
drawline(C, ins, dotted);
draw(shift(ins)*scale(abs(ins-iAB))*unitcircle);
Asymptote Generalities – fig1810
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
import math;
pair project(pair pt, pair A, pair B)
{
return extension(pt,pt-dir(90+degrees(A-B,false)),A,B);
}
pair ecenter(pair A, pair B, pair C)
{
return extension(A, A+rotate(90)*dir(A--B,A--C), B, B+rotate(90)*dir(B--A,B--C));
}
path ecircle(pair A, pair B, pair C)
{
return shift(ecenter(A,B,C))*scale(abs(ecenter(A,B,C)-project(ecenter(A,B,C),B,C)))*unitcircle;
}
pair A=(0,0), B=(3,0), C=(3,4);
path tr=A--B--C--cycle;
draw(ecircle(A,B,C));
draw(ecircle(B,C,A));
pen p=linewidth(1pt);
drawline(A,B, p);
drawline(A,C, p);
drawline(B,C, p);
Asymptote Generalities – fig1830
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
defaultpen(2mm+linecap(0));
path p = (0,0){up} .. (2cm,0){up};
path q = (0,1cm){dir(-60)}..(1cm,-1cm)..{dir(60)}(2cm,1cm);
draw(firstcut(p,q).before, .8red);
draw(firstcut(p,q).after, .8blue);
draw(lastcut(q,p).before, .8green);
draw(lastcut(q,p).after, .8yellow);
Asymptote Generalities – fig1840
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
defaultpen(2mm+linecap(0));
path p = (0,0){up} .. (2cm,0){up};
path q = (0,1cm){dir(-60)}..(1cm,-1cm)..{dir(60)}(2cm,1cm);
real[] ipq=intersect(p,q);
real[] iprq=intersect(p,reverse(q));
draw(subpath(p, 0, ipq[0]), .8red);
draw(subpath(p, ipq[0], iprq[0]), .5red);
draw(subpath(p, iprq[0], length(p)), .3red);
draw(subpath(reverse(q), 0, iprq[1]), .8green);
draw(subpath(reverse(q), iprq[1], length(q)-ipq[1]), .5green);
draw(subpath(reverse(q), length(q)-ipq[1], length(q)), .3green);
Asymptote Generalities – fig1870
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(15cm,0);
srand(rand());
path p1 = randompath(9);
path p2 = randompath(8);
real Minx=min(min(p1).x,min(p2).x);
real Maxx=max(max(p1).x,max(p2).x);
real Miny=min(min(p1).y,min(p2).y);
pair[] inter=intersectionpoints(p1,p2);
int nb=inter.length;
for (int i=0 ; i<nb; ++i)
{
dot(inter[i]);
label("$" + (string) i +"$", inter[i],N);
}
draw(p1,.8red);
draw(p2,.8green);
label("I found " + (string) nb + " points of intersection.",((Maxx+Minx)/2,Miny),2S);
Asymptote Generalities – fig1890
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
path [] c;
c[1] = xscale(2)*unitcircle;
c[2] = shift((0,1))*c[1];
draw(c[1]^^c[2]);
draw(buildcycle(c[1],c[2]), .8red+4bp);
Asymptote Generalities – fig1900
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| (Compiled with Asymptote version 2.14svn-r5318) |
//Translate from http://zoonek.free.fr/LaTeX/Metapost/metapost.html
size(6cm,0);
path a,b,c,d;
a = (-1,-.2){up} .. tension 1.2 .. (1,-.2){down};
transform r90=rotate(90);
b = r90*a;
c = r90*b;
d = r90*c;
path bound=buildcycle(a,b,c,d);
fill(bound, lightgrey);
draw(a^^b^^c^^d,grey);
draw(bound);
Asymptote Generalities – fig1910
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(6cm,0);
path a,b,c;
a = shift(1,0)*scale(2)*unitcircle;
b = rotate(120)*a;
c = rotate(120)*b;
fill(a, red);
fill(b, green);
fill(c, blue);
fill(buildcycle(a,b), red + green);
fill(buildcycle(b,c), green + blue);
fill(buildcycle(c,a), blue + red);
fill(buildcycle(a,b,c), white);
draw(a^^b^^c);
Asymptote Generalities – fig1920
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
path pt1=scale(2cm)*unitcircle;
path pt2=scale(1cm)*unitcircle;
filldraw(pt1^^pt2,yellow+.9white);
Asymptote Generalities – fig1930
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
path pt1=scale(2cm)*unitcircle;
path pt2=scale(1cm)*unitcircle;
filldraw(pt1^^pt2,evenodd+yellow+.9white);
Asymptote Generalities – fig1940
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
path pt1=scale(2cm)*unitcircle;
path pt2=scale(1cm)*unitcircle;
path pt3=shift(0,.5cm)*pt2;
filldraw(pt1^^pt2^^pt3,evenodd+yellow+.9white);
Asymptote Generalities – fig1950
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(0,0);
path pt1=scale(2cm)*unitcircle;
path pt2=scale(1cm)*unitcircle;
path pt3=shift(0,1.5cm)*pt2;
filldraw(pt1^^pt2^^pt3,evenodd+yellow+.9white);
Asymptote Generalities – fig1970
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| (Compiled with Asymptote version 2.14svn-r5318) |
size(8cm,0);
import patterns;
add("hatchback",hatch(NW));
filldraw(xscale(2)*unitsquare,pattern("hatchback"));
add("r_hatchback",hatch(2.5mm,NW,.8red));
filldraw(shift(0,-2)*yscale(2)*unitsquare,pattern("r_hatchback"));
add("b_hatchback",hatch(NW,2.5mm+.8blue));
filldraw(shift(1,-2)*yscale(2)*unitsquare,pattern("b_hatchback"));
Official Asymptote example – BezierPatch
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import three; size(10cm); currentlight=Viewport; surface s=surface(patch(new triple[][] { {(0,0,0),(1,0,0),(1,0,0),(2,0,0)}, {(0,1,0),(1,0,1),(1,0,1),(2,1,0)}, {(0,1,0),(1,0,-1),(1,0,-1),(2,1,0)}, {(0,2,0),(1,2,0),(1,2,0),(2,2,0)}})); draw(s,yellow); draw(s.s[0].vequals(0.5),squarecap+2bp+blue,currentlight); draw(s.s[0].uequals(0.5),squarecap+2bp+red,currentlight);
Official Asymptote example – Coons
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(200); pen[] p={red,green,blue,magenta}; path g=(0,0){dir(45)}..(1,0)..(1,1)..(0,1)..cycle; tensorshade(g,p); dot(g);
Official Asymptote example – GaussianSurface
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph3; size(200,0); currentprojection=perspective(10,8,4); real f(pair z) {return 0.5+exp(-abs(z)^2);} draw((-1,-1,0)--(1,-1,0)--(1,1,0)--(-1,1,0)--cycle); draw(arc(0.12Z,0.2,90,60,90,25),ArcArrow3); surface s=surface(f,(-1,-1),(1,1),nx=5,Spline); xaxis3(Label("$x$"),red,Arrow3); yaxis3(Label("$y$"),red,Arrow3); zaxis3(XYZero(extend=true),red,Arrow3); draw(s,lightgray,meshpen=black+thick(),nolight,render(merge=true)); label("$O$",O,-Z+Y,red);
Official Asymptote example – Gouraud
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(200); pen[] p={red,green,blue,magenta}; pair[] z={(-1,0),(0,0),(0,1),(1,0)}; int[] edges={0,0,0,1}; gouraudshade(z[0]--z[2]--z[3]--cycle,p,z,edges); draw(z[0]--z[1]--z[2]--cycle); draw(z[1]--z[3]--z[2],dashed); dot(Label,z[0],W); dot(Label,z[1],S); dot(Label,z[2],N); dot(Label,z[3],E); label("0",z[0]--z[1],S,red); label("1",z[1]--z[2],E,red); label("2",z[2]--z[0],NW,red);
Official Asymptote example – HermiteSpline
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph; size(140mm,70mm,IgnoreAspect); scale(false); real[] x={1,3,4,5,6}; real[] y={1,5,2,0,4}; marker mark=marker(scale(1mm)*cross(6,false,r=0.35),red,Fill); draw(graph(x,y,Hermite),"Hermite Spline",mark); xaxis("$x$",Bottom,LeftTicks(x)); yaxis("$y$",Left,LeftTicks); attach(legend(),point(NW),40S+30E,UnFill);
Official Asymptote example – Hobbycontrol
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(200); pair z0=(0,0); pair z1=(0.5,3); pair z2=(2,1); path g=z0..z1..z2; pair d0=dir(g,0); pair d1=dir(g,1); draw(Label("$\omega_0$",1),z0-d0..z0+d0,blue+dashed,Arrow); draw(Label("$\omega_1$",1),z1-d1..z1+1.5d1,blue+dashed,Arrow); draw(z0--interp(z0,z1,1.5),dashed); draw(subpath(g,0,1),blue); draw("$\theta$",arc(z0,0.4,degrees(z1-z0),degrees(d0)),red,Arrow, EndPenMargin); draw("$\phi$",arc(z1,1.05,degrees(z1-z0),degrees(d1)),red,Arrow, EndPenMargin); dot("$z_0$",z0,SW,red); dot("$z_1$",z1,SE,red);
Official Asymptote example – Hobbydir
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(200); pair z0=(0,0); pair z1=(1,2); pair z2=(2,1); path g=z0..z1..z2; label("$\ell_k$",z0--z1); draw("$\ell_{k+1}$",z1--z2,dashed); draw(z0--interp(z0,z1,1.5),dashed); pair d1=dir(g,1); draw(z1-d1..z1+d1,blue+dashed); draw(g,blue); draw(Label("$\theta_k$",0.4),arc(z1,0.4,degrees(z2-z1),degrees(d1)),blue,Arrow, EndPenMargin); draw("$\phi_k$",arc(z1,0.4,degrees(d1),degrees(z1-z0),CCW),Arrow, EndPenMargin); dot("$z_{k-1}$",z0,red); dot("$z_k$",z1,NW,red); dot("$z_{k+1}$",z2,red);
Official Asymptote example – Pythagoras
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(0,150); import geometry; real a=3; real b=4; real c=hypot(a,b); pair z1=(0,b); pair z2=(a,0); pair z3=(a+b,0); perpendicular(z1,NE,z1--z2,blue); perpendicular(z3,NW,blue); draw(square((0,0),z3)); draw(square(z1,z2)); real d=0.3; pair v=unit(z2-z1); draw(baseline("$a$"),-d*I--z2-d*I,red,Bars,Arrows,PenMargins); draw(baseline("$b$"),z2-d*I--z3-d*I,red,Arrows,Bars,PenMargins); draw("$c$",z3+z2*I-d*v--z2-d*v,red,Arrows,PenMargins); draw("$a$",z3+d--z3+z2*I+d,red,Arrows,Bars,PenMargins); draw("$b$",z3+z2*I+d--z3+z3*I+d,red,Arrows,Bars,PenMargins);
Official Asymptote example – RiemannSurface
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph3; import palette; size(200,300,keepAspect=false); //settings.nothin=true; currentprojection=orthographic(10,10,30); currentlight=(10,10,5); triple f(pair t) {return (exp(t.x)*cos(t.y),exp(t.x)*sin(t.y),t.y);} surface s=surface(f,(-4,-2pi),(0,4pi),8,16,Spline); s.colors(palette(s.map(zpart),Rainbow())); draw(s,render(merge=true));
Official Asymptote example – axis3
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph3; size(0,200); size3(200,IgnoreAspect); currentprojection=perspective(5,2,2); scale(Linear,Linear,Log); xaxis3("$x$",0,1,red,OutTicks(2,2)); yaxis3("$y$",0,1,red,OutTicks(2,2)); zaxis3("$z$",1,30,red,OutTicks(beginlabel=false));
Official Asymptote example – bezier2
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import beziercurve; pair midpoint(pair a, pair b) {return interp(a,b,0.5);} pair m0=midpoint(z0,c0); pair m1=midpoint(c0,c1); pair m2=midpoint(c1,z1); draw(m0--m1--m2,dashed); dot("$m_0$",m0,NW,red); dot("$m_1$",m1,N,red); dot("$m_2$",m2,red); pair m3=midpoint(m0,m1); pair m4=midpoint(m1,m2); pair m5=midpoint(m3,m4); draw(m3--m4,dashed); dot("$m_3$",m3,NW,red); dot("$m_4$",m4,NE,red); dot("$m_5$",m5,N,red);
Official Asymptote example – beziercurve
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(400); pair z0=(0,0); pair c0=(1,1); pair c1=(2,1); pair z1=(3,0); draw(z0..controls c0 and c1 .. z1,blue); draw(z0--c0--c1--z1,dashed); dot("$z_0$",z0,W,red); dot("$c_0$",c0,NW,red); dot("$c_1$",c1,NE,red); dot("$z_1$",z1,red);
Official Asymptote example – cardioid
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph; size(0,100); real f(real t) {return 1+cos(t);} path g=polargraph(f,0,2pi,operator ..)--cycle; filldraw(g,pink); xaxis("$x$",above=true); yaxis("$y$",above=true); dot("$(a,0)$",(1,0),N); dot("$(2a,0)$",(2,0),N+E);
Official Asymptote example – circles
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(6cm,0); import math; currentpen=magenta; real r1=1; real r2=sqrt(7); real r3=4; pair O=0; path c1=circle(O,r1); draw(c1,green); draw(circle(O,r2),green); draw(circle(O,r3),green); real x=-0.6; real y=-0.8; real yD=0.3; pair A=(sqrt(r1^2-y^2),y); pair B=(-sqrt(r2^2-y^2),y); pair C=(x,sqrt(r3^2-x^2)); pair d=A+r2*dir(B--C); pair D=intersectionpoint(c1,A--d); draw(A--B--C--cycle); draw(interp(A,D,-0.5)--interp(A,D,1.5),blue); dot("$O$",O,S,red); dot("$A$",A,dir(C--A,B--A),red); dot("$B$",B,dir(C--B,A--B),red); dot("$C$",C,dir(A--C,B--C),red); dot("$D$",D,red);
Official Asymptote example – colons
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ draw((0,0){up}::(100,25){right}::(200,0){down});
Official Asymptote example – cosaddition
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(0,200); import geometry; real A=130; real B=40; pair O=(0,0); pair R=(1,0); pair P=dir(A); pair Q=dir(B); draw(circle(O,1.0)); draw(Q--O--P); draw(P--Q,red); draw(O--Q--R--cycle); draw("$A$",arc(R,O,P,0.3),blue,Arrow,PenMargin); draw("$B$",arc(R,O,Q,0.6),blue,Arrow,PenMargin); pair S=(Cos(B),0); draw(Q--S,blue); perpendicular(S,NE,blue); dot(O); dot("$R=(1,0)$",R); dot("$P=(\cos A,\sin A)$",P,dir(O--P)+W); dot("$Q=(\cos B,\sin B)$",Q,dir(O--Q));
Official Asymptote example – cube
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import three; currentprojection=orthographic(5,4,2,center=true); size(5cm); size3(3cm,5cm,8cm); draw(unitbox); dot(unitbox,red); label("$O$",(0,0,0),NW); label("(1,0,0)",(1,0,0),S); label("(0,1,0)",(0,1,0),E); label("(0,0,1)",(0,0,1),Z);
Official Asymptote example – curvedlabel
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(200); import labelpath; labelpath("This is a test of curved labels in Asymptote (implemented with the {\tt PSTricks pstextpath} macro).",reverse(rotate(-90)*unitcircle));
Official Asymptote example – cylinder
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import solids; size(0,100); currentlight=Viewport; revolution r=cylinder(O,1,1.5,Y+Z); draw(surface(r),green,render(merge=true)); draw(r,blue);
Official Asymptote example – cylinderskeleton
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import solids; size(0,100); revolution r=cylinder(O,1,1.5,Y+Z); draw(r,heavygreen);
Official Asymptote example – dots
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ draw((0,0){up}..(100,25){right}..(200,0){down});
Official Asymptote example – epix
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph3; size(200,200,IgnoreAspect); currentprojection=perspective(4,2,3); real f(pair z) {return z.y^3/2-3z.x^2*z.y;} draw(surface(f,(-1,-1),(1,1),nx=10,Spline),green,render(merge=true)); draw(Label("$y$",1),(0,0,0)--(0,2,0),red,Arrow3); draw(Label("$x$",1),(0,0,0)--(2,0,0),red,Arrow3); draw(Label("$z$",1),(0,0,0)--(0,0,2.5),red,Arrow3); label("$z=\frac{1}{2}y^3-3x^2y$",(1,1,1),NE);
Official Asymptote example – equilateral
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(10cm,0); import math; pair b=(0,0), c=(1,0); pair a=extension(b,b+dir(60),c,c+dir(120)); pair d=extension(b,b+dir(30),a,a+dir(270)); draw(a--b--c--a--d--b^^d--c); label("$A$",a,N); label("$B$",b,W); label("$C$",c,E); label("$D$",d,S);
Official Asymptote example – exp
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph; size(150,0); real f(real x) {return exp(x);} pair F(real x) {return (x,f(x));} xaxis("$x$"); yaxis("$y$",0); draw(graph(f,-4,2,operator ..),red); labely(1,E); label("$e^x$",F(1),SE);
Official Asymptote example – fano
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import math; size(100,0); pair z4=(0,0); pair z7=(2,0); pair z1=point(rotate(60)*(z4--z7),1); pair z5=interp(z4,z7,0.5); pair z3=interp(z7,z1,0.5); pair z2=interp(z1,z4,0.5); pair z6=extension(z4,z3,z7,z2); draw(z4--z7--z1--cycle); draw(z4--z3); draw(z7--z2); draw(z1--z5); draw(circle(z6,abs(z3-z6))); label("1",z1,dir(z5--z1)); label("2",z2,dir(z7--z2)); label("3",z3,dir(z4--z3)); label("4",z4,dir(z3--z4)); label("5",z5,dir(z1--z5)); label("6",z6,2.5E+0.1*N); label("7",z7,dir(z2--z7));
Official Asymptote example – hatch
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(0,100); import patterns; add("hatch",hatch()); add("hatchback",hatch(NW)); add("crosshatch",crosshatch(3mm)); real s=1.25; filldraw(unitsquare,pattern("hatch")); filldraw(shift(s,0)*unitsquare,pattern("hatchback")); filldraw(shift(2s,0)*unitsquare,pattern("crosshatch"));
Official Asymptote example – labelsquare
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(3cm); draw(unitsquare); label("$A$",(0,0),SW); label("$B$",(1,0),SE); label("$C$",(1,1),NE); label("$D$",(0,1),NW);
Official Asymptote example – latticeshading
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(200); pen[][] p={{white,grey,black}, {red,green,blue}, {cyan,magenta,yellow}}; latticeshade(unitsquare,p);
Official Asymptote example – lever
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(200,0); pair z0=(0,0); pair z1=(2,0); pair z2=(5,0); pair zf=z1+0.75*(z2-z1); draw(z1--z2); dot(z1,red+0.15cm); dot(z2,darkgreen+0.3cm); label("$m$",z1,1.2N,red); label("$M$",z2,1.5N,darkgreen); label("$\hat{\ }$",zf,0.2*S,fontsize(24pt)+blue); pair s=-0.2*I; draw("$x$",z0+s--z1+s,N,red,Arrows,Bars,PenMargins); s=-0.5*I; draw("$\bar{x}$",z0+s--zf+s,blue,Arrows,Bars,PenMargins); s=-0.95*I; draw("$X$",z0+s--z2+s,darkgreen,Arrows,Bars,PenMargins);
Official Asymptote example – lineargraph
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph; size(250,200,IgnoreAspect); real Sin(real t) {return sin(2pi*t);} real Cos(real t) {return cos(2pi*t);} draw(graph(Sin,0,1),red,"$\sin(2\pi x)$"); draw(graph(Cos,0,1),blue,"$\cos(2\pi x)$"); xaxis("$x$",BottomTop,LeftTicks); yaxis("$y$",LeftRight,RightTicks(trailingzero)); label("LABEL",point(0),UnFill(1mm)); attach(legend(),truepoint(E),20E,UnFill);
Official Asymptote example – lineargraph0
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph; size(400,200,IgnoreAspect); real Sin(real t) {return sin(2pi*t);} real Cos(real t) {return cos(2pi*t);} draw(graph(Sin,0,1),red,"$\sin(2\pi x)$"); draw(graph(Cos,0,1),blue,"$\cos(2\pi x)$"); xaxis("$x$",BottomTop,LeftTicks); yaxis("$y$",LeftRight,RightTicks(trailingzero)); label("LABEL",point(0),UnFill(1mm)); add(legend(),point(E),20E,UnFill);
Official Asymptote example – lines
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import math; int n=7; size(200,0); draw(unitcircle,red); for (int i=0; i < n-1; ++i) for (int j=i+1; j < n; ++j) drawline(unityroot(n,i),unityroot(n,j),blue);
Official Asymptote example – linetype
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ void testline(real y) { draw((0,y)--(100,y),currentpen+solid); draw((0,y-10)--(100,y-10),currentpen+dotted); draw((0,y-20)--(100,y-20),currentpen+dashed); draw((0,y-30)--(100,y-30),currentpen+longdashed); draw((0,y-40)--(100,y-40),currentpen+dashdotted); draw((0,y-50)--(100,y-50),currentpen+longdashdotted); draw((0,y-60)--(100,y-60),currentpen+Dotted); } currentpen=linewidth(0.5); testline(100);
Official Asymptote example – log
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph; size(150,0); real f(real x) {return log(x);} pair F(real x) {return (x,f(x));} xaxis("$x$",0); yaxis("$y$"); draw(graph(f,0.01,10,operator ..)); labelx(1,SSE); label("$\log x$",F(7),SE);
Official Asymptote example – oneoverx
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph; size(200,IgnoreAspect); real f(real x) {return 1/x;}; bool3 branch(real x) { static int lastsign=0; if(x == 0) return false; int sign=sgn(x); bool b=lastsign == 0 || sign == lastsign; lastsign=sign; return b ? true : default; } draw(graph(f,-1,1,branch)); axes("$x$","$y$",red);
Official Asymptote example – parametricgraph
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph; size(0,200); real x(real t) {return cos(2pi*t);} real y(real t) {return sin(2pi*t);} draw(graph(x,y,0,1)); //xlimits(0,1,Crop); //ylimits(-1,0,Crop); xaxis("$x$",BottomTop,LeftTicks); yaxis("$y$",LeftRight,RightTicks(trailingzero));
Official Asymptote example – parametricsurface
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph3; size(200,0); currentprojection=orthographic(4,0,2); real R=2; real a=1.9; triple f(pair t) { return ((R+a*cos(t.y))*cos(t.x),(R+a*cos(t.y))*sin(t.x),a*sin(t.y)); } pen p=rgb(0.2,0.5,0.7); surface s=surface(f,(0,0),(2pi,2pi),8,8,Spline); // surface only //draw(s,lightgray); // mesh only // draw(s,nullpen,meshpen=p); // surface & mesh draw(s,lightgray,meshpen=p,render(merge=true));
Official Asymptote example – projectelevation
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph3; import grid3; import palette; currentprojection=orthographic(0.8,1,2); size(400,300,IgnoreAspect); real f(pair z) {return cos(2*pi*z.x)*sin(2*pi*z.y);} surface s=surface(f,(-1/2,-1/2),(1/2,1/2),50,Spline); surface S=planeproject(unitsquare3)*s; S.colors(palette(s.map(zpart),Rainbow())); draw(S,nolight); draw(s,lightgray+opacity(0.7)); grid3(XYZgrid);
Official Asymptote example – projectrevolution
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import solids; import palette; currentprojection=orthographic(20,0,3); size(400,300,IgnoreAspect); revolution r=revolution(new real(real x) {return sin(x)*exp(-x/2);}, 0,2pi,operator ..,Z); surface s=surface(r); surface S=planeproject(shift(-Z)*unitsquare3)*s; S.colors(palette(s.map(zpart),Rainbow())); render render=render(compression=Low,merge=true); draw(S,render); draw(s,lightgray,render);
Official Asymptote example – quartercircle
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(100,0); draw((1,0){up}..{left}(0,1),Arrow);
Official Asymptote example – ring
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(0,100); path unitcircle=E..N..W..S..cycle; path g=scale(2)*unitcircle; label("$a \le r \le b$"); radialshade(unitcircle^^g,yellow+evenodd,(0,0),1.0,yellow+brown,(0,0),2);
Official Asymptote example – roll
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph3; size(200,0); triple f(pair t) { return(t.x+t.y/4+sin(t.y),cos(t.y),sin(t.y)); } surface s=surface(f,(0,0),(2pi,2pi),7,20,Spline); draw(s,olive,render(merge=true));
Official Asymptote example – saddle
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import three; size(100,0); path3 g=(1,0,0)..(0,1,1)..(-1,0,0)..(0,-1,1)..cycle; draw(g); draw(((-1,-1,0)--(1,-1,0)--(1,1,0)--(-1,1,0)--cycle)); dot(g,red);
Official Asymptote example – shade
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(100,0); radialshade(unitsquare,yellow,(0,0),0,red,(0,0),1);
Official Asymptote example – shadedtiling
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(0,100); import patterns; real d=4mm; picture tiling; path square=scale(d)*unitsquare; axialshade(tiling,square,white,(0,0),black,(d,d)); fill(tiling,shift(d,d)*square,blue); add("shadedtiling",tiling); filldraw(unitcircle,pattern("shadedtiling"));
Official Asymptote example – shadestroke
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(100); radialshade(W..N..E--(0,0),stroke=true, red+linewidth(30),(0,0),0.25,yellow,(0,0),1);
Official Asymptote example – sin1x
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph; size(200,0); real f(real x) {return (x != 0) ? sin(1/x) : 0;} real T(real x) {return 2/(x*pi);} real a=-4/pi, b=4/pi; int n=150,m=5; xaxis("$x$",red); yaxis(red); draw(graph(f,a,-T(m),n)--graph(f,-m,-(m+n),n,T)--(0,f(0))--graph(f,m+n,m,n,T)-- graph(f,T(m),b,n)); label("$\sin\frac{1}{x}$",(b,f(b)),SW);
Official Asymptote example – sphere
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import three; size(200); currentprojection=orthographic(5,4,3); draw(unitsphere,green,render(compression=Zero,merge=true));
Official Asymptote example – spheresilhouette
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import solids; settings.render=0; settings.prc=false; size(200); revolution r=sphere(O,1); draw(r,1,longitudinalpen=nullpen); draw(r.silhouette());
Official Asymptote example – sphereskeleton
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(100); import solids; currentprojection=orthographic(5,4,2); revolution sphere=sphere(1); draw(surface(sphere),green+opacity(0.2)); draw(sphere,m=7,blue);
Official Asymptote example – spiral
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(0,150); import graph; real f(real t) {return exp(-t/(2pi));} draw(polargraph(f,0,20*pi,operator ..)); xaxis("$x$",-infinity,1.3); yaxis("$y$",-infinity,1); labelx(1); labelx("$e^{-1}$",1.0/exp(1),SE);
Official Asymptote example – spring0
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import spring; drawspring(0,"$L$");
Official Asymptote example – spring2
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import spring; drawspring(40.0,"$L+x$");
Official Asymptote example – square
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(3cm); draw((0,0)--(1,0)--(1,1)--(0,1)--cycle);
Official Asymptote example – star
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(100); import math; int n=5; path p; int i=0; do { p=p--unityroot(n,i); i=(i+2) % n; } while(i != 0); filldraw(p--cycle,red+evenodd);
Official Asymptote example – subpictures
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ picture pic1; real size=50; size(pic1,size); fill(pic1,(0,0)--(50,100)--(100,0)--cycle,red); picture pic2; size(pic2,size); fill(pic2,unitcircle,green); picture pic3; size(pic3,size); fill(pic3,unitsquare,blue); picture pic; add(pic,pic1.fit(),(0,0),N); add(pic,pic2.fit(),(0,0),10S); add(pic.fit(),(0,0),N); add(pic3.fit(),(0,0),10S);
Official Asymptote example – tanh
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph; size(100,0); real f(real x) {return tanh(x);} pair F(real x) {return (x,f(x));} xaxis("$x$"); yaxis("$y$"); draw(graph(f,-2.5,2.5,operator ..)); label("$\tanh x$",F(1.5),1.25*N);
Official Asymptote example – triangle
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(0,100); import geometry; triangle t=triangle(b=3,alpha=90,c=4); dot((0,0)); draw(t); draw(rotate(90)*t,red); draw(shift((-4,0))*t,blue); draw(reflect((0,0),(1,0))*t,green); draw(slant(2)*t,magenta);
Official Asymptote example – trumpet
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph3; size(200,0); currentlight=Viewport; triple f(pair t) { real u=log(abs(tan(t.y/2))); return (10*sin(t.y),cos(t.x)*(cos(t.y)+u),sin(t.x)*(cos(t.y)+u)); } surface s=surface(f,(0,pi/2),(2pi,pi-0.1),7,15,Spline); draw(s,olive+0.25*white,render(compression=Low,merge=true));
Official Asymptote example – unitcircle
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(0,150); pair z0=0; pair z1=1; real theta=30; pair z=dir(theta); draw(circle(z0,1)); filldraw(z0--arc(z0,1,0,theta)--cycle,lightgrey); dot(z0); dot(Label,z1); dot("$(x,y)=(\cos\theta,\sin\theta)$",z); arrow("area $\frac{\theta}{2}$",dir(0.5*theta),2E); draw("$\theta$",arc(z0,0.7,0,theta),LeftSide,Arrow,PenMargin);
Official Asymptote example – xsin1x
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import graph; size(300,0); real f(real x) {return (x != 0.0) ? x * sin(1.0 / x) : 0.0;} pair F(real x) {return (x,f(x));} xaxis("$x$",red); yaxis(red); draw(graph(f,-1.2/pi,1.2/pi,1000)); label("$x\sin\frac{1}{x}$",F(1.1/pi),NW); picture pic; size(pic,50,IgnoreAspect); xaxis(pic,red); yaxis(pic,red); draw(pic,graph(pic,f,-0.1/pi,0.1/pi,1000)); add(new void(frame f, transform t) { frame G=shift(point(f,N+0.85W))*align(bbox(pic,blue),10SE); add(f,G); draw(f,t*box(min(pic,user=true),max(pic,user=true)),blue); draw(f,point(G,E)--t*point(pic,W),blue); });
Official Asymptote example – yingyang
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(0,25cm); guide center=(0,1){W}..tension 0.8..(0,0){(1,-.5)}..tension 0.8..{W}(0,-1); draw((0,1)..(-1,0)..(0,-1)); filldraw(center{E}..{N}(1,0)..{W}cycle); unfill(circle((0,0.5),0.125)); fill(circle((0,-0.5),0.125));
Various code with Asymptote – fig0200
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| (Compiled with Asymptote version 1.87svn-r4652) |
size(10cm);
path g=box((-1,-1),(1,1));
pen [] col= new pen[]{gray,yellow};
path pairToSquare(pair pt){ return pt -- I*pt -- -pt -- -I*pt --cycle; }
int nb=10;
for (int i=0; i<nb; ++i)
{
filldraw(g,col[i%2]);
g=pairToSquare(relpoint(g,1/16));
}
