|
|
| (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 – fig0170
Asymptote Generalities – fig0180
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|
| (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
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|
| (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
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|
| (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 – fig0270
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|
| (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 – fig0630
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|
| (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
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|
| (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
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|
| (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
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|
| (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
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|
| (Compiled with Asymptote version 2.14svn-r5318) |
pair O=0;
dot(O);
label("$\frac{\pi^2}{2}$",O);
Asymptote Generalities – fig0680
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| (Compiled with Asymptote version 2.14svn-r5318) |
dot(Label("$\frac{\pi^2}{2}$",(0,0),align=E));
Asymptote Generalities – fig0710
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| (Compiled with Asymptote version 2.14svn-r5318) |
dot(Label("$A$"),(0,0),S);
Asymptote Generalities – fig0720
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| (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
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|
| (Compiled with Asymptote version 2.14svn-r5318) |
dot(Label("$A$",fontsize(20pt)),(0,0),NE);
Asymptote Generalities – fig0740
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|
| (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 – fig0880
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|
| (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 – fig0920
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|
| (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
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|
| (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
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|
| (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 – fig1110
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|
| (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
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|
| (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
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|
| (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
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|
| (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
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|
| (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
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|
| (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
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|
| (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
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|
| (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 – fig1350
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|
| (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
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|
| (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 – fig1460
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|
| (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 using geometry.asy – fig0040
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|
| (Compiled with Asymptote version 2.14svn-r5318) |
size(8cm,0);
import geometry;
coordsys R=defaultcoordsys;
show(R);
coordsys Rp=cartesiansystem((0.5,0.5), i=(0.35,0.35), j=(-0.35,0.35));
show("$O'$", "$\vec{\imath'}$", "$\vec{\jmath'}$", Rp, ipen=blue, xpen=invisible);
coordsys Rpp=cartesiansystem((-1,-0.5),
i=rotate(-90)*(0.35,0.35),
j=rotate(-90)*(-0.35,0.35));
show("$O''$", "$\vec{\imath''}$", "$\vec{\jmath''}$", Rpp, ipen=green, xpen=invisible);
pair m=(1,1);
/* View the definition of point point(coordsys,pair,real) */
dot("",point(R,m),red); // Same as 'dot("",m,red);'
dot("",point(Rp,m),blue);
point M=m;
/* View the definition of point point(coordsys,explicit point,real) */
dot("",point(Rpp,M),green); // Works also with 'point'
pair p=(-0.75,0.75);
point P=point(R,(-0.75,0.75));
dot("$P$",P,2E,4mm+red);
// There are two methods for changing
// the coordinate system of a point (or a pair)
/* View the definition of pair /(pair,coordsys) */
dot("$P'$",point(Rp,p/Rp),2S,3mm+blue); // Necessary for 'pair'
dot("$P'$",point(Rp,P/Rp),2N,3mm+blue); // but works with 'point' by casting.
/* View the definition of point changecoordsys(coordsys,point) */
dot("$P''$",changecoordsys(Rpp,P),2W,1.5mm+green); // Useful for 'point'.
Asymptote using geometry.asy – fig0750
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
import geometry;
unitsize(2cm);
// currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75));
show(currentcoordsys, xpen=invisible);
point A=(-2.5,2);
dot("$A$",A,S);
point B=A+(cos(0.5),cos(1));
dot("$B$",B,S);
point F=(-1,0.5);
dot("$F$",F,NW);
parabola pb=parabola(F,0.2,130);
draw(pb);
line l=line(A,B);
draw(l);
point M=intersectionpoints(l,pb)[0];
point P=intersectionpoints(l,pb)[1];
/* View the definition of void dot(picture,Label,explicit point,align,string,pen) */
dot("",M,2E,linewidth(2mm));
dot("$M$",M,2W);
dot("",P,2E,linewidth(2mm));
dot("$P$",P,2W);
pair p=A-(4,2.5);
transform t=shift((0,-0.3));
transform T=shift((4,0));
real x;
/* View the definition of abscissa angabscissa(parabola,point) */
x=angabscissa(pb,M).x;
label("angabscissa(pb,M).x=$"+(string)x+"^\circ$",p,E);
dot(angpoint(pb,x),1mm+red);
x=angabscissa(pb,P).x;
label("angabscissa(pb,P).x=$"+(string)x+"^\circ$",T*p,E);
dot(angpoint(pb,x),1mm+red);
// p=t*p;
// /* View the definition of abscissa curabscissa(parabola,point) */
// x=curabscissa(pb,M).x;
// dot(curpoint(pb,x),1mm+red);
// label("curabscissa(pb,M).x="+(string)x,p,E);
// x=curabscissa(pb,P).x;
// label("curabscissa(pb,P).x="+(string)x,T*p,E);
// dot(curpoint(pb,x),1mm+red);
// p=t*p;
// /* View the definition of abscissa nodabscissa(parabola,point) */
// x=nodabscissa(pb,M).x;
// label("nodabscissa(pb,M).x="+(string)x,p,E);
// dot(point(pb,x),1mm+red);
// x=nodabscissa(pb,P).x;
// label("nodabscissa(pb,P).x="+(string)x,T*p,E);
// dot(point(pb,x),1mm+red);
Asymptote using geometry.asy – fig1070
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|
| (Compiled with Asymptote version 2.14svn-r5318) |
import geometry;
size(8cm,0);
// currentcoordsys=cartesiansystem((1,2),i=(1,0.5),j=(-0.5,.75));
show(currentcoordsys, xpen=invisible);
/* View the definition of struct mass */
mass A=mass((1,0),3);/* View the definition of mass mass(point,real) */
mass B=mass((0,1),sqrt(3));
point C=(0.25,0);
/* View the definition of void dot(picture,Label,mass,align,string,pen) */
dot("$\left(B;\sqrt{3}\right)$",B,N,format="");
dot("C",C,S);
dot("A",A,S);
draw(A--B--C--cycle);
/* View the definition of mass masscenter(... mass[]) */
dot("G",masscenter(A,B,mass(C)),S);
Asymptote using geometry.asy – fig1160
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|
| (Compiled with Asymptote version 2.14svn-r5318) |
unitsize(1cm);
import geometry;
point pA = (0,0);
point pB = (5,0);
point pC = (5,5);
dot(pA^^pB^^pC);
draw(pA--pB--pC--cycle);
distance(Label("$x \; \mathrm{cm}$",align=S),pA,pB,3mm);
distance(Label("$y \; \mathrm{cm}$",align=E),pB,pC,3mm);
distance(Label("$z \; \mathrm{cm}$",align=I*dir(pA--pC)),pA,pC,-3mm);
shipout(bbox(xmargin=1mm,invisible));
Asymptote using trembling.asy – fig0110
|
With magnetizePoints=false. |
| (Compiled with Asymptote version 1.87svn-r4652) |
import trembling;
startTrembling(magnetizePoints=false);
size(12cm,0);
point A=(0,0), B=(5,2), C=(3,4);
triangle t=triangle(A,B,C),
et1=triangle(A,B,rotate(-60,A)*B),
et2=triangle(B,C,rotate(-60,B)*C),
et3=triangle(C,A,rotate(-60,C)*A);
draw(et1^^et2^^et3, 0.8*red);
dot(et1.Path()^^et2.Path()^^et3.Path());
draw(t); label(t, alignFactor=2.5);
point[] F=fermat(t);
dot("$F_1$",F[0], S, red);
dot("$F_2$",F[1], W, purple);
draw(circle(et1)^^circle(et2)^^circle(et3), 0.8*green);
draw(line(C,et1.C)^^line(A,et2.C)^^line(B,et3.C), 0.8*blue);
label("$N_1$",et1.VC);
label("$N_2$",et2.VC);
label("$N_3$",et3.VC);
Asymptote using trembling.asy – fig0120
|
The same code with magnetizePoints=true. |
| (Compiled with Asymptote version 1.87svn-r4652) |
import trembling;
startTrembling();
size(12cm,0);
point A=(0,0), B=(5,2), C=(3,4);
triangle t=triangle(A,B,C),
et1=triangle(A,B,rotate(-60,A)*B),
et2=triangle(B,C,rotate(-60,B)*C),
et3=triangle(C,A,rotate(-60,C)*A);
draw(et1^^et2^^et3, 0.8*red);
dot(et1.Path()^^et2.Path()^^et3.Path());
draw(t); label(t, alignFactor=2.5);
point[] F=fermat(t);
dot("$F_1$",F[0], S, red);
dot("$F_2$",F[1], W, purple);
draw(circle(et1)^^circle(et2)^^circle(et3), 0.8*green);
draw(line(C,et1.C)^^line(A,et2.C)^^line(B,et3.C), 0.8*blue);
label("$N_1$",et1.VC);
label("$N_2$",et2.VC);
label("$N_3$",et3.VC);
Asymptote using trembling.asy – fig0130
|
|
| (Compiled with Asymptote version 1.87svn-r4652) |
import trembling;
size(12cm);
startTrembling();
conic co[];
co[0]=circle((0,0),1);
draw(co[0]);
co[1]=ellipse((0,0),4,1);
draw(co[1]);
co[2]=parabola((0,0),1,90);
draw(co[2]);
hyperbola h=hyperbola((-1,0),(1,0),1.2,byvertices);
co[3]=h;
draw(co[3]);
draw(h.A1,grey);
draw(h.A2,grey);
dotfactor *= 1;
for (int i=0; i < 4; ++i) {
dot(intersectionpoints(h.A1,co[i]),blue);
dot(intersectionpoints(h.A2,co[i]),blue);
for (int j=i+1; j < 4; ++j)
dot(intersectionpoints(co[i],co[j]), red);
}
Official Asymptote example – cube
|
|
| (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 – dots
|
|
| (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 – limit
|
|
| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ size(200,200,IgnoreAspect); import graph; real L=1; real epsilon=0.25; real a(int n) {return L+1/n;} for(int i=1; i < 20; ++i) dot((i,a(i))); real N=1/epsilon; xaxis(Label("$n$",align=2S)); yaxis(Label("$a_n$",0.85)); xtick("$2$",2); ytick("$\frac{3}{2}$",3/2); ytick("$2$",2); yequals(Label("$L$",0,up),L,extend=true,blue); yequals(Label("$L+\epsilon$",1,NW),L+epsilon,extend=true,red+dashed); yequals(Label("$L-\epsilon$",1,SW),L-epsilon,extend=true,red+dashed); xequals(N,extend=true,darkgreen+dashed); labelx(shift(0,-10)*"$N=\frac{1}{\epsilon}$",N,E,darkgreen); label("$a_n=1+\frac{1}{n},\quad \epsilon=\frac{1}{4}$",point((0,1)),10S+E);
Official Asymptote example – saddle
|
|
| (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);
