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Difference between revisions of "User:EddieBates/Asymptote-testing"

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Line 1: Line 1:
 +
<asy>
 +
size(12cm,0);
 +
 +
import geometry;
 +
 +
triangle T=triangleAbc(90,Tan(30),1);
 +
 +
triangle[] reverse(triangle[] arr)
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{
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  triangle[] or;
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  int l=arr.length;
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  for(int i=0; i < l; ++i) {
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    or.push(arr[l-i-1]);
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  }
 +
  return or;
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}
 +
 +
triangle[] dissect(triangle T, int n, bool reverse=false)
 +
{
 +
  if(n <= 0) return new triangle[]{T};
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  triangle[] OT;
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  point M=curpoint(T.AB,T.b()*Tan(30));
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  point H=projection(T.BC)*M;
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  triangle[] OT1, OT2, OT3;
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  OT.append(dissect(triangle(H,T.B,M),n-1,!reverse));
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  OT.append(reverse((dissect(triangle(H,T.C,M),n-1,!reverse))));
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  OT.append(dissect(triangle(T.A,T.C,M),n-1,!reverse));
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  return OT;
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}
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triangle[] DT=dissect(T,5);
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point O=centroid(DT[0]);
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path g;
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transform Ro=rotate(30,T.B), Re=reflect(T.BC), Roj;
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for(int i : DT.keys) {
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  O=incenter(DT[i]);
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  g=g--O;
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}
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g=reverse(g);
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path G, g=g--Re*reverse(g) ;
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for (int j=0; j < 12; j += 2) G=G--Ro^(-j)*g;
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fill(G--cycle,0.3*blue);
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for(int i : DT.keys) {
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  for (int j=0; j < 12; j += 2) {
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    Roj=Ro^j;
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    draw(Roj*DT[i],miterjoin+0.8*red);
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    draw(Roj*(Re*DT[i]),miterjoin+0.8*red);
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  }
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}
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draw(G--cycle,bp+miterjoin+0.9*yellow);
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shipout(bbox(2mm, FillDraw(black, 1mm+miterjoin+deepblue)));
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</asy>
 +
 +
 
<asy>
 
<asy>
 
size(10cm,0);
 
size(10cm,0);
Line 17: Line 78:
  
 
tree(trk,12,a=25,b=40,r=.75);
 
tree(trk,12,a=25,b=40,r=.75);
−
</asy>
 
−
 
−
<asy>
 
−
import graph3;
 
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ngraph=200;
 
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size(12cm,0);
 
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currentprojection=orthographic(-4,-4,5);
 
−
 
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real x(real t), y(real t), z(real t);
 
−
 
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real R=2;
 
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void xyzset(real s){
 
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  x=new real(real t){return (R+s*cos(t/2))*cos(t);};
 
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  y=new real(real t){return (R+s*cos(t/2))*sin(t);};
 
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  z=new real(real t){return s*sin(t/2);};
 
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}
 
−
 
−
 
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int n=ngraph;
 
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real w=1;
 
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real s=-w, st=2w/n;
 
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path3 p;
 
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triple[][] ts;
 
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for (int i=0; i <= n; ++i) {
 
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  xyzset(s);
 
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  p=graph(x,y,z,0,2pi);
 
−
 
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  ts.push(new triple[] {});
 
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  for (int j=0; j <= ngraph; ++j) {
 
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    ts[i].push(point(p,j));
 
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  }
 
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  s += st;
 
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}
 
−
 
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pen[] pens={black, yellow, red, yellow, black};
 
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draw(surface(ts, new bool[][]{}), lightgrey);
 
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for (int i=0; i <= 4; ++i) {
 
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  xyzset(-w+i*w/2);
 
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  draw(graph(x,y,z,0,2pi), 2bp+pens[i]);
 
−
}
 
 
</asy>
 
</asy>

Latest revision as of 15:33, 22 October 2014


How to Cite This Entry:
EddieBates/Asymptote-testing. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=EddieBates/Asymptote-testing&oldid=33990
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