🔗Asymptote Gallery for Category “Miscellaneous” #11
🔗various-fig001
Show various/fig0100.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Miscellaneous
Tags : #Loop/for/while | #Transform | #Fill/Unfill
size(10cm); path g=box((-1,-1),(1,1)); pen [] col= new pen[]{gray,yellow}; real k=sqrt(10)/4; transform T=scale(k)*rotate(degrees(acos(17/(16*k*sqrt(2))))); int nb=10; for (int i=0; i<nb; ++i) filldraw(T^i*g,col[i%2]);
🔗various-fig002
Show various/fig0200.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Miscellaneous
Tags : #Loop/for/while | #Fill/Unfill | #Basis | #Function (creating)
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)); }
🔗various-fig003
Show various/fig0300.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Miscellaneous
Tags : #Struct
// On définit ce qu'est l'objet 'rectangle' // On peut comparer ça à la définition d'une voiture: // elle a des propriètés: la couleur, le nombre de portes... // elle a aussi des actions (ou méthodes en info): ouvrir la porte, tourner le volant, avancer... struct rectangle { pair A,B,C,D; // Ce sont des propriétés (au sens informatique): ses sommets. path path(){return A--B--C--D--cycle;} // Ceci est une action du rectangle (renvoyer le chemin du rectangle) }; // Le constructeur de l'objet (une action qui renvoie l'objet). // Chaque fois que l'on va définir une variable 'X' de type 'rectangle' // c'est le retour de l'action rectangle.init qui est affecté à X. rectangle operator init() {return new rectangle;} // La fonction rectangle qui prend en argument le coin inférieur gauche // et le coin supérieur droit retourne un rectangle. // On notera comment l'on récupére une propriété ou une action d'un // objet grâce au '.' en écrivant objet.propriété ou // objet.action(les_paramètres). rectangle rectangle(pair gb, pair dh) { rectangle retour; retour.A=(dh.x,gb.y); retour.B=dh; retour.C=(gb.x,dh.y); retour.D=gb; return retour; } // On peut alors définir tous les opérateurs que l'on veut sur les // rectangles. // par exemple la multiplication d'un réal par un rectangle (x*rectangle): rectangle operator *(real x, rectangle rectangle) { rectangle retour; retour.A=rectangle.A+x*(rectangle.B-rectangle.A); retour.B=rectangle.B+x*(rectangle.C-rectangle.B); retour.C=rectangle.C+x*(rectangle.D-rectangle.C); retour.D=rectangle.D+x*(rectangle.A-rectangle.D); return retour; } // Ici, cette opération est commutative (rectangle*x=x*rectangle): rectangle operator *(rectangle rectangle,real x){return x*rectangle;} // On dit ici comment "Asymptote" doit convertir, si besoin est, un type 'rectangle' // en 'path' puis en 'path[]' (tableau de 'path'). path operator cast(rectangle rectangle){return rectangle.path();} path[] operator cast(rectangle rectangle){return rectangle.path();} //Par exemple, dans le code: /* rectangle SQ=rectangle((0,0), (1,1)); draw(SQ); */ // 'draw' attend un type 'path' donc 'SQ' sera automatiquement converti. // Maintenant on peut travailler avec cette structure size(10cm); rectangle SQ=rectangle((0,0), (1,1)); pen [] col= new pen[]{gray,yellow}; int nb=10; for (int i=0; i<nb; ++i) { filldraw(SQ,col[i%2]); SQ=.25*SQ; }
🔗various-fig004
Copié depuis La police Pictchou
Il faut compiler ce document pour obtenir les fichiers main1.eps, main2.eps,..., main5.eps
Show various/fig0350.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Miscellaneous
Tags : #PrimarySchool
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shipout(format="pdf"); }); for (int n=1; n < 11; ++n) { picture pic; label(pic,graphic("main"+(string)(n < 6 ? n : 5)+".pdf"),(n < 6 ? -3.5cm : 0,0)); if(n > 5) label(pic, reflect(N,S)*graphic("main"+(string)(n-5)+".pdf"), (1cm,0)); add(pic, (4*(n%6),-2*floor(n/6))*1cm); }
🔗various-fig005
Show various/fig0360.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Miscellaneous
Tags : #PrimarySchool
// Carte à points 1. import carteApoints; settings.outformat="pdf"; add(scale(0.5)*carteApoints(1).fit()); ///home/pi/code/pi/asymptote/asymptote-exemples-builder/build/asy/various/fig0360.pdf shipout(bbox(2mm));
🔗various-fig006
Show various/fig0370.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Miscellaneous
Tags : #PrimarySchool
// Carte à points 2. import carteApoints; settings.outformat="pdf"; add(scale(0.5)*carteApoints(8).fit()); ///home/pi/code/pi/asymptote/asymptote-exemples-builder/build/asy/various/fig0370.pdf shipout(bbox(2mm));
🔗various-fig007
Show various/fig0400.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Miscellaneous
Tags : #PrimarySchool
// Toutes les cartes à points dans un seul pdf: /home/pi/code/pi/asymptote/asymptote-exemples-builder/build/asy/various/fig0400.pdf import carteApoints; import animation; settings.outformat="pdf"; animation A; real sc=1/3; for (int i=1; i < 10; i += 2) { picture pic; add(pic,scale(sc)*bbox(carteApoints(i),3mm)); add(pic,shift((0,2.8*min(pic).y))*scale(sc)*bbox(carteApoints(i+1),3mm)); A.add(pic); } A.movie();
🔗various-fig008
Show various/fig0405.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Miscellaneous
Tags : #Transform | #Picture
// PDF version of this picture: /home/pi/code/pi/asymptote/asymptote-exemples-builder/build/asy/various/fig0405.pdf import labelpath; size(17cm,0); usepackage("mathrsfs, amsfonts,amsmath,amssymb"); picture pic, pic1, pic2, pic3; real u=1, Y=pi+0.2; path cle=scale(u)*unitcircle; path arcg=arc((0,0),1.5*u,115,155); void addtick(picture pic=currentpicture, Label L, pair z, pair dir=E, pen p=currentpen) { transform R=rotate(degrees(dir)); real width=1.5mm; Label L=L.copy(); L.position(z); L.align(NoAlign,E); L.align.dir=R*L.align.dir*1.3*width/mm; L.p(p); pic.add(new void(frame f, transform t) { path g=(-width,0)--(width,0); picture opic; draw(opic,shift(t*z)*R*g,p); add(f,opic.fit()); }); add(pic,L); } path roll(picture pic=currentpicture, real x, int nb=50) { real stp=x/(nb-1); return operator --(... sequence(new guide(int t){ real tt=t*stp; return shift(expi(tt))*((x-tt)*(-sin(tt),cos(tt))); },nb)); } labelpath("\tiny Sens direct",reverse(arcg)); draw(arcg, Arrow()); draw(Label("$\mathscr{C}$",Relative(0.625)), cle,bp+grey); dot("$O$", (0,0), S); dot("$0$", point(cle,0)); dot("$I$", point(cle,0), 2*W); dot("$J$", point(cle,1), 2*S); dot("$K$", point(cle,2), 2*W); dot("$L$", point(cle,3), 2*N); draw("$1$",(0,0)--point(cle,2),Arrows); pic.add(currentpicture);// Save the common picture. // Starting picture 1 pair yM=(u,Y*u), ym=(u,-Y*u); draw(ym--yM, linewidth(bp), Arrow(TeXHead)); arrow("\underline{Axe des r\'eels}",(u,-0.75*Y*u),W,1cm); real x=2.2, y=-1.25; addtick(Label("$1$", align=E),(u,1)); addtick(Label("$2$", align=E),(u,2)); addtick(Label("$-1$", align=E),(u,-1)); addtick(Label("$x$", align=E),(u,x)); addtick(Label("$y$", align=E),(u,y)); pic1.add(currentpicture); erase(); // Starting picture 2 add(pic); real t=x+0.1; draw((u,0)--yM, bp+grey, Arrow(TeXHead)); path tg=arc((0,0),u,0,degrees(t)); draw(tg,linewidth(bp)); addtick(Label("$1$", align=E),u*(cos(1),sin(1)),dir(degrees(1.0))); addtick(Label("$1$", align=E),(u,1), grey); addtick(Label("$2$", align=E),(u,2),grey); addtick(Label("$\frac{\pi}{2}$", align=E),(u,pi/2),grey); addtick(Label("$\pi$", align=E),(u,pi),grey); addtick(Label("$-1$", align=E),(u,-1)); addtick(Label("$x$", align=E),(u,x), grey); addtick(Label("$x$", align=E),u*(cos(x),sin(x)),dir(degrees(x))); addtick(Label("$y$", align=E),(u,-x)); dot("$M$", u*expi(x), -2*u*expi(x)); draw(Label("+",Relative(0.5)), roll(x), dotted, Arrow(Relative(0.5))); draw(roll(1), dotted); draw(Label("+",Relative(0.5)), roll(pi/2), dotted, Arrow(Relative(0.5))); draw(Label("+",Relative(0.5)), roll(pi,100), dotted, Arrow(Relative(0.5))); path g=u*expi(t)--shift(u*expi(t))*((Y-t)*u*expi(pi/2+t)); draw(g,linewidth(bp), Arrow(TeXHead)); addtick(Label("$\pi$", align=E),arcpoint(g,(pi-t)*u),expi(t)); pic3.add(currentpicture); draw(ym--(u,0), linewidth(bp)); pic2.add(currentpicture); erase(); // Starting picture 3 draw(ym--(u,0), linewidth(bp)+grey); path tg=arc((0,0),u,0,degrees(-t)); draw(tg,linewidth(bp)); addtick(Label("$-1$", align=E),u*(cos(-1),sin(-1)),dir(degrees(-1.0))); addtick(Label("$-1$", align=E),(u,-1), grey); addtick(Label("$-2$", align=E),(u,-2),grey); addtick(Label("$-\frac{\pi}{2}$", align=E),(u,-pi/2),grey); addtick(Label("$-\pi$", align=E),(u,-pi),grey); dot("$N$", u*expi(-x), -2*u*expi(-x)); g=roll(-x); draw(Label("$-$",align=2*I*dir(g,0.5),Relative(0.5)), g, dotted, Arrow(NoFill,Relative(0.5))); g=roll(-1); draw(g, dotted); g=roll(-pi/2); draw(Label("$-$",align=2*I*dir(g,0.5),Relative(0.5)), g, dotted, Arrow(NoFill,Relative(0.5))); g=roll(-pi,100); draw(Label("$-$",align=2*I*dir(g,0.5),Relative(0.5)), g, dotted, Arrow(NoFill,Relative(0.5))); g=u*expi(-t)--shift(u*expi(-t))*((Y-t)*u*expi(-pi/2-t)); draw(g, linewidth(bp), Arrow(TeXHead)); addtick(Label("$-\pi$", align=E),arcpoint(g,(pi-t)*u),expi(-t)); //////////////////////////////////////////////////////////// pic3.add(currentpicture); erase(); add(pic1); add(shift(4*u,0)*pic2); add(shift(8*u,0)*pic3); shipout(format="pdf");
🔗various-fig009
Show various/fig0410.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Miscellaneous
Tags : #Transform | #Picture
size(10cm); path cle=unitcircle; path roll(picture pic=currentpicture, real x, int nb=50) { real stp=x/(nb-1); return operator --(... sequence(new guide(int t){ real tt=t*stp; return shift(expi(tt))*((x-tt)*(-sin(tt),cos(tt))); },nb)); } real y=4*pi; pair yM=(1,y), ym=(1,-y); int nb=100; real stp=2*y/nb; path[] g; for (int i=1; i <= nb; ++i) { real t=-y+i*stp; g.push(roll(-y+i*stp/2,50+round(20*i*stp))--reverse(roll(y-i*stp/2,50+round(20*i*stp)))--cycle); } pen p1=blue, p2=0.9*red; fill(g,p1); fill(g,fillrule(1)+p2); unfill(cle); draw(cle,white); shipout(rotate(-90)*bbox(Fill(lightyellow)));
🔗various-fig010
Show various/fig0420.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Miscellaneous
import stats; path ell(pair O, real a, real b, int t=1) { path g=ellipse(O,a,b); return subpath(g, t > 0 ? -1 : 1, t > 0 ? 1 : 3); } size(10cm,0); real a=1, b=1.75, d=0.1, dl=1.5; pen p1=1.5bp+white, p2=1.5bp+black; pen fp=grey; int n=8, nm=floor(n/2); real step=1/n; for (int line=0; line < 7; ++line) { pair p=(0,0); picture pic; transform Sh=shift(line*(0,-2.5*b)); for (int i=0; i <= nm; ++i) { real t=cos(i*step); real t=0.75-i*step; real na=a*(0.25+0.75*t); path g1=ell(p,na,b,1); path g2=ell(p,na,b,-1); fill(pic, g1--g2--cycle, fp); label(pic,(string)round(unitrand()),p,white); draw(pic, g1, p1); draw(pic, g2, p2); if(i != 0) { transform T=shift(-2p); label(pic,(string)round(unitrand()),T*p,white); fill(pic, T*(g1--g2--cycle), fp); draw(pic, T*g1, p1); draw(pic, T*g2, p2); } if(i != nm) p += na+d+dl*t; } add(Sh*pic); pair M=(p.x,0); picture pic2=reflect(M,M+N)*pic; add(Sh*pic2); add(Sh*reflect(3*M,3*M+N)*pic2); } shipout(bbox(1mm,Fill(lightgrey)));