Asymptote Generalities – fig0170

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 14 h 39 min

Figure 0017
(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));

Étiquettes : , , ,

Asymptote Generalities – fig0180

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 15 h 39 min

Figure 0018
(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));

Étiquettes : , , ,

Asymptote Generalities – fig0190

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 16 h 39 min

Figure 0019
(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));

Étiquettes : , ,

Asymptote Generalities – fig0200

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 17 h 39 min

Figure 0020
(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);

Étiquettes : , , , , ,

Asymptote Generalities – fig0270

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 0 h 39 min

Figure 0027
(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));

Étiquettes : , , ,

Asymptote Generalities – fig0630

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 12 h 39 min

Figure 0063
(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);

Étiquettes : , , ,

Asymptote Generalities – fig0640

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 13 h 39 min

Figure 0064
(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);

Étiquettes : , , , ,

Asymptote Generalities – fig0650

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 14 h 39 min

Figure 0065
(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);

Étiquettes : , , , ,

Asymptote Generalities – fig0660

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 15 h 39 min

Figure 0066
(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);

Étiquettes : , , , , ,

Asymptote Generalities – fig0670

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 16 h 39 min

Figure 0067
(Compiled with Asymptote version 2.14svn-r5318) 
    
pair O=0;
dot(O);
label("$\frac{\pi^2}{2}$",O);

Étiquettes : , , , ,

Asymptote Generalities – fig0680

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 17 h 39 min

Figure 0068
(Compiled with Asymptote version 2.14svn-r5318) 
    
dot(Label("$\frac{\pi^2}{2}$",(0,0),align=E));

Étiquettes : , , , , ,

Asymptote Generalities – fig0710

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 20 h 39 min

Figure 0071
(Compiled with Asymptote version 2.14svn-r5318) 
    
dot(Label("$A$"),(0,0),S);

Étiquettes : , , , ,

Asymptote Generalities – fig0720

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 21 h 39 min

Figure 0072
(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());

Étiquettes : , , , ,

Asymptote Generalities – fig0730

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 22 h 39 min

Figure 0073
(Compiled with Asymptote version 2.14svn-r5318) 
    
dot(Label("$A$",fontsize(20pt)),(0,0),NE);

Étiquettes : , , , , ,

Asymptote Generalities – fig0740

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 23 h 39 min

Figure 0074
(Compiled with Asymptote version 2.14svn-r5318) 
    
defaultpen(fontsize(20pt));
dot(Label("$A$"),(0,0),NE);  
dot(Label("$B$"),(2cm,0),NE+N);

Étiquettes : , , , , , ,

Asymptote Generalities – fig0880

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 13 h 39 min

Figure 0088
(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);

Étiquettes : , , , , ,

Asymptote Generalities – fig0920

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 17 h 39 min

Figure 0092
(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);

Étiquettes : , , ,

Asymptote Generalities – fig0930

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 18 h 39 min

Figure 0093
(Compiled with Asymptote version 2.14svn-r5318) 
    
size(0,0);
pair O=0;

draw(circle(O,2cm));
dot(circle(O,2cm),red+4bp);

Étiquettes : , , , ,

Asymptote Generalities – fig0940

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 19 h 39 min

Figure 0094
(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)));

Étiquettes : , , , ,

Asymptote Generalities – fig1110

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 12 h 39 min

Figure 0110
(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);

Étiquettes : , ,

Asymptote Generalities – fig1120

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 13 h 39 min

Figure 0111
(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);

Étiquettes : , ,

Asymptote Generalities – fig1130

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 14 h 39 min

Figure 0112
(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);

Étiquettes : , ,

Asymptote Generalities – fig1140

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 15 h 39 min

Figure 0113
(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);

Étiquettes : , ,

Asymptote Generalities – fig1150

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 16 h 39 min

Figure 0114
(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);

Étiquettes : , ,

Asymptote Generalities – fig1160

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 17 h 39 min

Figure 0115
(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);

Étiquettes : , ,

Asymptote Generalities – fig1170

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 18 h 39 min

Figure 0116
(Compiled with Asymptote version 2.14svn-r5318) 
    
size(0,0);

pair A=0, B=(4cm,0);

draw(A{N}..B);
dot(A{N}..B);

Étiquettes : , ,

Asymptote Generalities – fig1180

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 19 h 39 min

Figure 0117
(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});

Étiquettes : , ,

Asymptote Generalities – fig1350

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 12 h 39 min

Figure 0134
(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);

Étiquettes : , , ,

Asymptote Generalities – fig1360

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 13 h 39 min

Figure 0135
(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);
  }

Étiquettes : , , , , ,

Asymptote Generalities – fig1460

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 23 h 39 min

Figure 0145
(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);

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Asymptote using geometry.asy – fig0040

Category: Asymptote,Examples 2D,geometry.asy — Ph. Ivaldi @ 9 h 02 min

Figure 0004
(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'.

Étiquettes : , , , ,

Asymptote using geometry.asy – fig0750

Category: Asymptote,Examples 2D,geometry.asy — Ph. Ivaldi @ 8 h 02 min

Figure 0075
(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);

Étiquettes : , , , ,

Asymptote using geometry.asy – fig1070

Category: Asymptote,Examples 2D,geometry.asy — Ph. Ivaldi @ 16 h 02 min

Figure 0107
(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);

Étiquettes : , , ,

Asymptote using geometry.asy – fig1160

Category: Asymptote,Examples 2D,geometry.asy — Ph. Ivaldi @ 1 h 02 min

Figure 0116
(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));

Étiquettes : , , , , , ,

Asymptote using trembling.asy – fig0110

Category: Asymptote,Examples 2D,trembling.asy — Ph. Ivaldi @ 12 h 24 min

Figure 0011

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);

Étiquettes : , , , , , ,

Asymptote using trembling.asy – fig0120

Category: Asymptote,Examples 2D,trembling.asy — Ph. Ivaldi @ 13 h 24 min

Figure 0012

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);

Étiquettes : , , , , , ,

Asymptote using trembling.asy – fig0130

Category: Asymptote,Examples 2D,trembling.asy — Ph. Ivaldi @ 14 h 24 min

Figure 0013
(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);
}

Étiquettes : , , , , , , , , , ,

Official Asymptote example – cube

Category: Asymptote,Official Gallery One-Pager — Ph. Ivaldi @ 3 h 57 min

Figure 0039
(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);

Étiquettes : , ,

Official Asymptote example – dots

Category: Asymptote,Official Gallery One-Pager — Ph. Ivaldi @ 13 h 57 min

Figure 0049
(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});

Étiquettes : , ,

Official Asymptote example – limit

Category: Asymptote,Official Gallery One-Pager — Ph. Ivaldi @ 1 h 57 min

Figure 0121
(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);

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Official Asymptote example – saddle

Category: Asymptote,Official Gallery One-Pager — Ph. Ivaldi @ 11 h 57 min

Figure 0191
(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);

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