Compétitivité-Qualité-Fiabilité-Disponibilité
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import solids;
currentprojection=orthographic(1,2,2);
size(6cm,0);
material m=
// diffusepen, ambientpen, emissivepen, specularpen
material( grey, yellow, black, orange);
draw(surface(sphere(1)), m);
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| (Compiled with Asymptote version 2.14svn-r5318) |
import solids;
currentlight=light(paleyellow, viewport=false,
(5,-5,10),(0,0,-10));
size(6cm,0);
draw(sphere(1,n=4*nslice), linewidth(bp), m=10);
draw(surface(sphere(1,n=4*nslice)), orange);
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| (Compiled with Asymptote version 2.14svn-r5318) |
// Author: John Bowman.
size(6cm,0);
import solids;
currentprojection=orthographic(0,10,5);
nslice=4*nslice;
revolution r=sphere(O,1);
draw(surface(r), lightgrey+opacity(0.75));
skeleton s;
r.transverse(s,reltime(r.g,0.6));
r.transverse(s,reltime(r.g,0.5));
draw(s.transverse.back,linetype("8 8",8));
draw(s.transverse.front);
r.longitudinal(s);
draw(s.longitudinal.front);
draw(s.longitudinal.back,linetype("8 8",8));
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| (Compiled with Asymptote version 2.14svn-r5318) |
import solids;
size(6cm,0);
currentprojection=orthographic(1,2,2);
surface s=surface(sphere(1,n=10));
material[] p={material(0.8*red,yellow,red,blue), invisible, 0.8*(red+blue) , invisible, 0.8*blue};
p.cyclic=true;
draw(s,p);
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import three; size(10cm); currentprojection=perspective(50,80,50); // Nonrational surface: // udegree=3, vdegree=3, nu=5, nv=6; real[] uknot={0,0,0,0,0.5,1,1,1,1}; real[] vknot={0,0,0,0,0.4,0.6,1,1,1,1}; triple[][] P={{ (-31.2061,12.001,6.45082), (-31.3952,14.7353,6.53707), (-31.5909,21.277,6.70051), (-31.4284,25.4933,6.76745), (-31.5413,30.3485,6.68777), (-31.4896,32.2839,6.58385) },{ (-28.279,12.001,7.89625), (-28.4187,14.7353,8.00954), (-28.5633,21.277,8.22422), (-28.4433,25.4933,8.31214), (-28.5266,30.3485,8.20749), (-28.4885,32.2839,8.07099) },{ (-20,12.001,10.0379), (-20,14.7353,10.2001), (-20,21.277,10.5076), (-20,25.4933,10.6335), (-20,30.3485,10.4836), (-20,32.2839,10.2881) },{ (-11.721,12.001,7.84024), (-11.5813,14.7353,7.95269), (-11.4367,21.277,8.16575), (-11.5567,25.4933,8.25302), (-11.4734,30.3485,8.14915), (-11.5115,32.2839,8.01367) },{ (-8.79391,12.001,6.39481), (-8.60483,14.7353,6.48022), (-8.40905,21.277,6.64204), (-8.57158,25.4933,6.70832), (-8.45874,30.3485,6.62943), (-8.51041,32.2839,6.52653) } }; draw(P,uknot,vknot,new pen[] {red,green,blue,magenta}); // Rational Bezier patch: // udegree=3, vdegree=3, nu=4, nv=4; real[] uknot={0,0,0,0,1,1,1,1}; real[] vknot={0,0,0,0,1,1,1,1}; triple[][] P=scale3(20)*octant1.P; // Optional weights: real[][] weights=array(P.length,array(P[0].length,1.0)); weights[0][2]=5.0; draw(P,uknot,vknot,weights,blue);
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ // Original name : conicurv.mp // Author : L. Nobre G. // Translators : J. Pienaar (2004) and John Bowman (2005) import three; texpreamble("\usepackage{bm}"); size(300,0); currentprojection=perspective(10,-5,5.44); real theta=30, width=3, shortradius=2, bord=2, refsize=1, vecsize=2; real height=0.3, anglar=1.75, totup=3; real longradius=shortradius+width*Cos(theta), updiff=width*Sin(theta); triple iplow=(0,shortradius,0), iphig=(0,longradius,updiff); triple oplow=(-shortradius,0,0), ophig=(-longradius,0,updiff); triple aplow=-iplow, aphig=(0,-longradius,updiff); triple eplow=-oplow, ephig=(longradius,0,updiff); triple anglebase=(0,longradius,0), centre=interp(iplow,iphig,0.5)+(0,0,height); triple central=(0,0,centre.z), refo=(0,0.5*centre.y,centre.z); triple refx=refsize*(0,Cos(theta),Sin(theta)); triple refy=refsize*(0,-Sin(theta),Cos(theta)); draw("$\theta$",arc(iplow,iplow+0.58*(iphig-iplow),anglebase),E); draw(central,linewidth(2bp)); draw(iplow--iphig); draw(oplow--ophig); draw(aplow--aphig); draw(eplow--ephig); draw(iphig--anglebase--aplow,dashed); draw(oplow--eplow,dashed); draw(central--centre,dashed); draw((0,0,-bord)--(0,longradius+bord,-bord)--(0,longradius+bord,totup) --(0,0,totup)--cycle); draw(Label("$y$",1),refo--refo+refy,SW,Arrow3); draw(Label("$x$",1),refo--refo+refx,SE,Arrow3); draw(Label("$\vec{R}_N$",1),centre--centre+vecsize*refy,E,Arrow3); draw(Label("$\vec{F}_a$",1),centre--centre+vecsize*refx,N,Arrow3); draw(Label("$\vec{F}_c$",1),centre--centre+vecsize*Y,NE,Arrow3); draw(Label("$\vec{P}$",1),centre--centre-vecsize*Z,E,Arrow3); draw(Label("$\vec{v}$",1),centre--centre+vecsize*X,E,Arrow3); draw(centre,10pt+blue); draw(circle((0,0,updiff),longradius),linewidth(2bp)); draw(circle(O,shortradius),linewidth(2bp));
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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);
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| (Compiled with Asymptote version 2.14svn-r5318) |
/* This code comes from The Official Asymptote Gallery */ import three; size(20cm); currentprojection=perspective(250,-250,250); currentlight=Viewport; triple[][][] Q={ { {(39.68504,0,68.0315),(37.91339,0,71.75197),(40.74803,0,71.75197),(42.51969,0,68.0315)}, {(39.68504,-22.22362,68.0315),(37.91339,-21.2315,71.75197),(40.74803,-22.8189,71.75197),(42.51969,-23.81102,68.0315)}, {(22.22362,-39.68504,68.0315),(21.2315,-37.91339,71.75197),(22.8189,-40.74803,71.75197),(23.81102,-42.51969,68.0315)}, {(0,-39.68504,68.0315),(0,-37.91339,71.75197),(0,-40.74803,71.75197),(0,-42.51969,68.0315)} },{ {(0,-39.68504,68.0315),(0,-37.91339,71.75197),(0,-40.74803,71.75197),(0,-42.51969,68.0315)}, {(-22.22362,-39.68504,68.0315),(-21.2315,-37.91339,71.75197),(-22.8189,-40.74803,71.75197),(-23.81102,-42.51969,68.0315)}, {(-39.68504,-22.22362,68.0315),(-37.91339,-21.2315,71.75197),(-40.74803,-22.8189,71.75197),(-42.51969,-23.81102,68.0315)}, {(-39.68504,0,68.0315),(-37.91339,0,71.75197),(-40.74803,0,71.75197),(-42.51969,0,68.0315)} },{ {(-39.68504,0,68.0315),(-37.91339,0,71.75197),(-40.74803,0,71.75197),(-42.51969,0,68.0315)}, {(-39.68504,22.22362,68.0315),(-37.91339,21.2315,71.75197),(-40.74803,22.8189,71.75197),(-42.51969,23.81102,68.0315)}, {(-22.22362,39.68504,68.0315),(-21.2315,37.91339,71.75197),(-22.8189,40.74803,71.75197),(-23.81102,42.51969,68.0315)}, {(0,39.68504,68.0315),(0,37.91339,71.75197),(0,40.74803,71.75197),(0,42.51969,68.0315)} },{ {(0,39.68504,68.0315),(0,37.91339,71.75197),(0,40.74803,71.75197),(0,42.51969,68.0315)}, {(22.22362,39.68504,68.0315),(21.2315,37.91339,71.75197),(22.8189,40.74803,71.75197),(23.81102,42.51969,68.0315)}, {(39.68504,22.22362,68.0315),(37.91339,21.2315,71.75197),(40.74803,22.8189,71.75197),(42.51969,23.81102,68.0315)}, {(39.68504,0,68.0315),(37.91339,0,71.75197),(40.74803,0,71.75197),(42.51969,0,68.0315)} },{ {(42.51969,0,68.0315),(49.60629,0,53.1496),(56.69291,0,38.26771),(56.69291,0,25.51181)}, {(42.51969,-23.81102,68.0315),(49.60629,-27.77952,53.1496),(56.69291,-31.74803,38.26771),(56.69291,-31.74803,25.51181)}, {(23.81102,-42.51969,68.0315),(27.77952,-49.60629,53.1496),(31.74803,-56.69291,38.26771),(31.74803,-56.69291,25.51181)}, {(0,-42.51969,68.0315),(0,-49.60629,53.1496),(0,-56.69291,38.26771),(0,-56.69291,25.51181)} },{ {(0,-42.51969,68.0315),(0,-49.60629,53.1496),(0,-56.69291,38.26771),(0,-56.69291,25.51181)}, {(-23.81102,-42.51969,68.0315),(-27.77952,-49.60629,53.1496),(-31.74803,-56.69291,38.26771),(-31.74803,-56.69291,25.51181)}, {(-42.51969,-23.81102,68.0315),(-49.60629,-27.77952,53.1496),(-56.69291,-31.74803,38.26771),(-56.69291,-31.74803,25.51181)}, {(-42.51969,0,68.0315),(-49.60629,0,53.1496),(-56.69291,0,38.26771),(-56.69291,0,25.51181)} },{ {(-42.51969,0,68.0315),(-49.60629,0,53.1496),(-56.69291,0,38.26771),(-56.69291,0,25.51181)}, {(-42.51969,23.81102,68.0315),(-49.60629,27.77952,53.1496),(-56.69291,31.74803,38.26771),(-56.69291,31.74803,25.51181)}, {(-23.81102,42.51969,68.0315),(-27.77952,49.60629,53.1496),(-31.74803,56.69291,38.26771),(-31.74803,56.69291,25.51181)}, {(0,42.51969,68.0315),(0,49.60629,53.1496),(0,56.69291,38.26771),(0,56.69291,25.51181)} },{ {(0,42.51969,68.0315),(0,49.60629,53.1496),(0,56.69291,38.26771),(0,56.69291,25.51181)}, {(23.81102,42.51969,68.0315),(27.77952,49.60629,53.1496),(31.74803,56.69291,38.26771),(31.74803,56.69291,25.51181)}, {(42.51969,23.81102,68.0315),(49.60629,27.77952,53.1496),(56.69291,31.74803,38.26771),(56.69291,31.74803,25.51181)}, {(42.51969,0,68.0315),(49.60629,0,53.1496),(56.69291,0,38.26771),(56.69291,0,25.51181)} },{ {(56.69291,0,25.51181),(56.69291,0,12.7559),(42.51969,0,6.377957),(42.51969,0,4.251961)}, {(56.69291,-31.74803,25.51181),(56.69291,-31.74803,12.7559),(42.51969,-23.81102,6.377957),(42.51969,-23.81102,4.251961)}, {(31.74803,-56.69291,25.51181),(31.74803,-56.69291,12.7559),(23.81102,-42.51969,6.377957),(23.81102,-42.51969,4.251961)}, {(0,-56.69291,25.51181),(0,-56.69291,12.7559),(0,-42.51969,6.377957),(0,-42.51969,4.251961)} },{ {(0,-56.69291,25.51181),(0,-56.69291,12.7559),(0,-42.51969,6.377957),(0,-42.51969,4.251961)}, {(-31.74803,-56.69291,25.51181),(-31.74803,-56.69291,12.7559),(-23.81102,-42.51969,6.377957),(-23.81102,-42.51969,4.251961)}, {(-56.69291,-31.74803,25.51181),(-56.69291,-31.74803,12.7559),(-42.51969,-23.81102,6.377957),(-42.51969,-23.81102,4.251961)}, {(-56.69291,0,25.51181),(-56.69291,0,12.7559),(-42.51969,0,6.377957),(-42.51969,0,4.251961)} },{ {(-56.69291,0,25.51181),(-56.69291,0,12.7559),(-42.51969,0,6.377957),(-42.51969,0,4.251961)}, {(-56.69291,31.74803,25.51181),(-56.69291,31.74803,12.7559),(-42.51969,23.81102,6.377957),(-42.51969,23.81102,4.251961)}, {(-31.74803,56.69291,25.51181),(-31.74803,56.69291,12.7559),(-23.81102,42.51969,6.377957),(-23.81102,42.51969,4.251961)}, {(0,56.69291,25.51181),(0,56.69291,12.7559),(0,42.51969,6.377957),(0,42.51969,4.251961)} },{ {(0,56.69291,25.51181),(0,56.69291,12.7559),(0,42.51969,6.377957),(0,42.51969,4.251961)}, {(31.74803,56.69291,25.51181),(31.74803,56.69291,12.7559),(23.81102,42.51969,6.377957),(23.81102,42.51969,4.251961)}, {(56.69291,31.74803,25.51181),(56.69291,31.74803,12.7559),(42.51969,23.81102,6.377957),(42.51969,23.81102,4.251961)}, {(56.69291,0,25.51181),(56.69291,0,12.7559),(42.51969,0,6.377957),(42.51969,0,4.251961)} },{ {(-45.35433,0,57.40157),(-65.19685,0,57.40157),(-76.53543,0,57.40157),(-76.53543,0,51.02362)}, {(-45.35433,-8.503932,57.40157),(-65.19685,-8.503932,57.40157),(-76.53543,-8.503932,57.40157),(-76.53543,-8.503932,51.02362)}, {(-42.51969,-8.503932,63.77952),(-70.86614,-8.503932,63.77952),(-85.03937,-8.503932,63.77952),(-85.03937,-8.503932,51.02362)}, {(-42.51969,0,63.77952),(-70.86614,0,63.77952),(-85.03937,0,63.77952),(-85.03937,0,51.02362)} },{ {(-42.51969,0,63.77952),(-70.86614,0,63.77952),(-85.03937,0,63.77952),(-85.03937,0,51.02362)}, {(-42.51969,8.503932,63.77952),(-70.86614,8.503932,63.77952),(-85.03937,8.503932,63.77952),(-85.03937,8.503932,51.02362)}, {(-45.35433,8.503932,57.40157),(-65.19685,8.503932,57.40157),(-76.53543,8.503932,57.40157),(-76.53543,8.503932,51.02362)}, {(-45.35433,0,57.40157),(-65.19685,0,57.40157),(-76.53543,0,57.40157),(-76.53543,0,51.02362)} },{ {(-76.53543,0,51.02362),(-76.53543,0,44.64566),(-70.86614,0,31.88976),(-56.69291,0,25.51181)}, {(-76.53543,-8.503932,51.02362),(-76.53543,-8.503932,44.64566),(-70.86614,-8.503932,31.88976),(-56.69291,-8.503932,25.51181)}, {(-85.03937,-8.503932,51.02362),(-85.03937,-8.503932,38.26771),(-75.11811,-8.503932,26.5748),(-53.85826,-8.503932,17.00787)}, {(-85.03937,0,51.02362),(-85.03937,0,38.26771),(-75.11811,0,26.5748),(-53.85826,0,17.00787)} },{ {(-85.03937,0,51.02362),(-85.03937,0,38.26771),(-75.11811,0,26.5748),(-53.85826,0,17.00787)}, {(-85.03937,8.503932,51.02362),(-85.03937,8.503932,38.26771),(-75.11811,8.503932,26.5748),(-53.85826,8.503932,17.00787)}, {(-76.53543,8.503932,51.02362),(-76.53543,8.503932,44.64566),(-70.86614,8.503932,31.88976),(-56.69291,8.503932,25.51181)}, {(-76.53543,0,51.02362),(-76.53543,0,44.64566),(-70.86614,0,31.88976),(-56.69291,0,25.51181)} },{ {(48.18897,0,40.3937),(73.70078,0,40.3937),(65.19685,0,59.52755),(76.53543,0,68.0315)}, {(48.18897,-18.70866,40.3937),(73.70078,-18.70866,40.3937),(65.19685,-7.086619,59.52755),(76.53543,-7.086619,68.0315)}, {(48.18897,-18.70866,17.00787),(87.87401,-18.70866,23.38582),(68.0315,-7.086619,57.40157),(93.5433,-7.086619,68.0315)}, {(48.18897,0,17.00787),(87.87401,0,23.38582),(68.0315,0,57.40157),(93.5433,0,68.0315)} },{ {(48.18897,0,17.00787),(87.87401,0,23.38582),(68.0315,0,57.40157),(93.5433,0,68.0315)}, {(48.18897,18.70866,17.00787),(87.87401,18.70866,23.38582),(68.0315,7.086619,57.40157),(93.5433,7.086619,68.0315)}, {(48.18897,18.70866,40.3937),(73.70078,18.70866,40.3937),(65.19685,7.086619,59.52755),(76.53543,7.086619,68.0315)}, {(48.18897,0,40.3937),(73.70078,0,40.3937),(65.19685,0,59.52755),(76.53543,0,68.0315)} },{ {(76.53543,0,68.0315),(79.37007,0,70.15748),(82.20472,0,70.15748),(79.37007,0,68.0315)}, {(76.53543,-7.086619,68.0315),(79.37007,-7.086619,70.15748),(82.20472,-4.251961,70.15748),(79.37007,-4.251961,68.0315)}, {(93.5433,-7.086619,68.0315),(99.92125,-7.086619,70.68897),(97.79527,-4.251961,71.22047),(90.70866,-4.251961,68.0315)}, {(93.5433,0,68.0315),(99.92125,0,70.68897),(97.79527,0,71.22047),(90.70866,0,68.0315)} },{ {(93.5433,0,68.0315),(99.92125,0,70.68897),(97.79527,0,71.22047),(90.70866,0,68.0315)}, {(93.5433,7.086619,68.0315),(99.92125,7.086619,70.68897),(97.79527,4.251961,71.22047),(90.70866,4.251961,68.0315)}, {(76.53543,7.086619,68.0315),(79.37007,7.086619,70.15748),(82.20472,4.251961,70.15748),(79.37007,4.251961,68.0315)}, {(76.53543,0,68.0315),(79.37007,0,70.15748),(82.20472,0,70.15748),(79.37007,0,68.0315)} },{ {(0,0,89.29133),(22.67716,0,89.29133),(0,0,80.7874),(5.669294,0,76.53543)}, {(0,0,89.29133),(22.67716,-12.7559,89.29133),(0,0,80.7874),(5.669294,-3.174809,76.53543)}, {(0,0,89.29133),(12.7559,-22.67716,89.29133),(0,0,80.7874),(3.174809,-5.669294,76.53543)}, {(0,0,89.29133),(0,-22.67716,89.29133),(0,0,80.7874),(0,-5.669294,76.53543)} },{ {(0,0,89.29133),(0,-22.67716,89.29133),(0,0,80.7874),(0,-5.669294,76.53543)}, {(0,0,89.29133),(-12.7559,-22.67716,89.29133),(0,0,80.7874),(-3.174809,-5.669294,76.53543)}, {(0,0,89.29133),(-22.67716,-12.7559,89.29133),(0,0,80.7874),(-5.669294,-3.174809,76.53543)}, {(0,0,89.29133),(-22.67716,0,89.29133),(0,0,80.7874),(-5.669294,0,76.53543)} },{ {(0,0,89.29133),(-22.67716,0,89.29133),(0,0,80.7874),(-5.669294,0,76.53543)}, {(0,0,89.29133),(-22.67716,12.7559,89.29133),(0,0,80.7874),(-5.669294,3.174809,76.53543)}, {(0,0,89.29133),(-12.7559,22.67716,89.29133),(0,0,80.7874),(-3.174809,5.669294,76.53543)}, {(0,0,89.29133),(0,22.67716,89.29133),(0,0,80.7874),(0,5.669294,76.53543)} },{ {(0,0,89.29133),(0,22.67716,89.29133),(0,0,80.7874),(0,5.669294,76.53543)}, {(0,0,89.29133),(12.7559,22.67716,89.29133),(0,0,80.7874),(3.174809,5.669294,76.53543)}, {(0,0,89.29133),(22.67716,12.7559,89.29133),(0,0,80.7874),(5.669294,3.174809,76.53543)}, {(0,0,89.29133),(22.67716,0,89.29133),(0,0,80.7874),(5.669294,0,76.53543)} },{ {(5.669294,0,76.53543),(11.33858,0,72.28346),(36.85039,0,72.28346),(36.85039,0,68.0315)}, {(5.669294,-3.174809,76.53543),(11.33858,-6.349609,72.28346),(36.85039,-20.63622,72.28346),(36.85039,-20.63622,68.0315)}, {(3.174809,-5.669294,76.53543),(6.349609,-11.33858,72.28346),(20.63622,-36.85039,72.28346),(20.63622,-36.85039,68.0315)}, {(0,-5.669294,76.53543),(0,-11.33858,72.28346),(0,-36.85039,72.28346),(0,-36.85039,68.0315)} },{ {(0,-5.669294,76.53543),(0,-11.33858,72.28346),(0,-36.85039,72.28346),(0,-36.85039,68.0315)}, {(-3.174809,-5.669294,76.53543),(-6.349609,-11.33858,72.28346),(-20.63622,-36.85039,72.28346),(-20.63622,-36.85039,68.0315)}, {(-5.669294,-3.174809,76.53543),(-11.33858,-6.349609,72.28346),(-36.85039,-20.63622,72.28346),(-36.85039,-20.63622,68.0315)}, {(-5.669294,0,76.53543),(-11.33858,0,72.28346),(-36.85039,0,72.28346),(-36.85039,0,68.0315)}, },{ {(-5.669294,0,76.53543),(-11.33858,0,72.28346),(-36.85039,0,72.28346),(-36.85039,0,68.0315)}, {(-5.669294,3.174809,76.53543),(-11.33858,6.349609,72.28346),(-36.85039,20.63622,72.28346),(-36.85039,20.63622,68.0315)}, {(-3.174809,5.669294,76.53543),(-6.349609,11.33858,72.28346),(-20.63622,36.85039,72.28346),(-20.63622,36.85039,68.0315)}, {(0,5.669294,76.53543),(0,11.33858,72.28346),(0,36.85039,72.28346),(0,36.85039,68.0315)} },{ {(0,5.669294,76.53543),(0,11.33858,72.28346),(0,36.85039,72.28346),(0,36.85039,68.0315)}, {(3.174809,5.669294,76.53543),(6.349609,11.33858,72.28346),(20.63622,36.85039,72.28346),(20.63622,36.85039,68.0315)}, {(5.669294,3.174809,76.53543),(11.33858,6.349609,72.28346),(36.85039,20.63622,72.28346),(36.85039,20.63622,68.0315)}, {(5.669294,0,76.53543),(11.33858,0,72.28346),(36.85039,0,72.28346),(36.85039,0,68.0315)}, },{ {(0,0,0),(40.3937,0,0),(42.51969,0,2.12598),(42.51969,0,4.251961)}, {(0,0,0),(40.3937,22.62047,0),(42.51969,23.81102,2.12598),(42.51969,23.81102,4.251961)}, {(0,0,0),(22.62047,40.3937,0),(23.81102,42.51969,2.12598),(23.81102,42.51969,4.251961)}, {(0,0,0),(0,40.3937,0),(0,42.51969,2.12598),(0,42.51969,4.251961)} },{ {(0,0,0),(0,40.3937,0),(0,42.51969,2.12598),(0,42.51969,4.251961)}, {(0,0,0),(-22.62047,40.3937,0),(-23.81102,42.51969,2.12598),(-23.81102,42.51969,4.251961)}, {(0,0,0),(-40.3937,22.62047,0),(-42.51969,23.81102,2.12598),(-42.51969,23.81102,4.251961)}, {(0,0,0),(-40.3937,0,0),(-42.51969,0,2.12598),(-42.51969,0,4.251961)} },{ {(0,0,0),(-40.3937,0,0),(-42.51969,0,2.12598),(-42.51969,0,4.251961)}, {(0,0,0),(-40.3937,-22.62047,0),(-42.51969,-23.81102,2.12598),(-42.51969,-23.81102,4.251961)}, {(0,0,0),(-22.62047,-40.3937,0),(-23.81102,-42.51969,2.12598),(-23.81102,-42.51969,4.251961)}, {(0,0,0),(0,-40.3937,0),(0,-42.51969,2.12598),(0,-42.51969,4.251961)} },{ {(0,0,0),(0,-40.3937,0),(0,-42.51969,2.12598),(0,-42.51969,4.251961)}, {(0,0,0),(22.62047,-40.3937,0),(23.81102,-42.51969,2.12598),(23.81102,-42.51969,4.251961)}, {(0,0,0),(40.3937,-22.62047,0),(42.51969,-23.81102,2.12598),(42.51969,-23.81102,4.251961)}, {(0,0,0),(40.3937,0,0),(42.51969,0,2.12598),(42.51969,0,4.251961)} } }; draw(surface(Q),blue,render(compression=Low));
|
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| (Compiled with Asymptote version 1.86svn-r4626) |
/* One may want to play with an interactive Java applet */
settings.render=0;
import three;
import animation;
animation A;
size(15cm);
currentprojection=orthographic(1,1,1.5);
currentlight=(1,0,1);
triple PXY=-X-Y;
triple P00=PXY+0.5*Z, P03=-X+Y, P33=X+Y, P30=X-Y;
triple[][] P0={
{PXY,PXY+(0,0.5,0),P03+(0,-0.5,0),P03},
{PXY+(0.5,0,0),(-0.5,-0.5,0),(-0.5,0.5,0),P03+(0.5,0,0)},
{P30+(-0.5,0,0),(0.5,-0.5,0),(0.5,0.5,0),P33+(-0.5,0,0)},
{P30,P30+(0,0.5,0),P33+(0,-0.5,0),P33}
};
triple[][][] P1={
{
{PXY,PXY+(0,0.5,0),P03+(0,-0.5,0),P03},
{PXY+(0.5,0,0),(-0.5,-0.5,-2),(-0.5,0.5,-2),P03+(0.5,0,0)},
{P30+(-0.5,0,0),(0.5,-0.5,-2),(0.5,0.5,-2),P33+(-0.5,0,0)},
{P30,P30+(0,0.5,0),P33+(0,-0.5,0),P33}
},
{
{P00,P00+(-0.5,0.5,-1),P03+(0,-0.5,1),P03},
{P00+(0.5,-0.5,-1),(-0.5,-0.5,-2),(-0.5,0.5,-2),P03+(0.5,0,1)},
{P30+(-0.5,0,1),(0.5,-0.5,-2),(0.5,0.5,-2),P33+(-0.5,0,1)},
{P30,P30+(0,0.5,1),P33+(0,-0.5,1),P33}
},
{
{P00,P00+(-0.5,0.5,-1),P03+(0,-0.5,1),P03},
{P00+(0.5,-0.5,-1),(-0.5,-0.5,-2),(-0.5,0.5,2),P03+(0.5,0,1)},
{P30+(-0.5,0,1),(0.5,-0.5,-2),(0.5,0.5,-2),P33+(-0.5,0,1)},
{P30,P30+(0,0.5,1),P33+(0,-0.5,1),P33}
},
{
{P00,P00+(-0.5,0.5,-1),P03+(0,-0.5,1),P03},
{P00+(0.5,-0.5,-1),(-0.5,-0.5,-2),(-0.5,-0.5,2),P03+(0.5,0,1)},
{P30+(-0.5,0,1),(0.5,-0.5,-2),(0.5,0.5,-2),P33+(-0.5,0,1)},
{P30,P30+(0,0.5,1),P33+(0,-0.5,1),P33}
}
};
triple[][] interp(triple[][] a, triple[][] b, real x)
{
triple[][] c;
for (int i=0; i < a.length; ++i) {
triple [] t;
for (int j=0; j < a[i].length; ++j) {
t.push(interp(a[i][j],b[i][j],x));
}
c.push(t);
}
return c;
}
int n=20;
real step=1/n;
for (int i=0; i < P1.length; ++i) {
for (int j=0; j <= n; ++j) {
save();
triple[][] P=interp(P0,P1[i],j*step);
surface s=surface(P);
draw(s,15,15,yellow,meshpen=grey);
draw(sequence(new path3(int i){
return s.s[i].external();},s.s.length), bp+red);
dot("P[0][0]",P[0][0], align=N, black);
dot("P[0][3]",P[0][3], black);
dot("P[3][3]",P[3][3], align=S, black);
dot("P[3][0]",P[3][0], align=W, black);
draw(Label("P[0][1]",align=SW,EndPoint),P[0][0]--P[0][1], Arrow3);
draw(Label("P[1][0]",align=SE,EndPoint),P[0][0]--P[1][0], Arrow3);
draw(Label("P[0][2]",align=E,EndPoint),P[0][3]--P[0][2], Arrow3);
draw(Label("P[1][3]",align=W,EndPoint),P[0][3]--P[1][3], Arrow3);
draw(Label("P[2][3]",align=NE,EndPoint),P[3][3]--P[2][3], Arrow3);
draw(Label("P[3][2]",align=NW,EndPoint),P[3][3]--P[3][2], Arrow3);
draw(Label("P[3][1]",align=NE,EndPoint),P[3][0]--P[3][1], Arrow3);
draw(Label("P[2][0]", align=W,EndPoint),P[3][0]--P[2][0], Arrow3);
dot("P[1][1]",P[1][1], align=N);
dot("P[1][2]",P[1][2], align=E);
dot("P[2][2]",P[2][2], align=N);
dot("P[2][1]",P[2][1], align=W);
A.add();
restore();
}
P0=copy(P1[i]);
}
for (int i=A.pictures.length-1; i >= 0 ; --i)
A.add(A.pictures[i]);
A.movie(BBox(Fill(lightgrey)));
