Mathematica - 2836 2536 karakter
Küçük üçgenleri renklendirme için kullanılabilir hale getiren bölgelerin kombinasyonlarını bulmak biraz baş döndürücü oldu.
Çerçeve
Çerçeve nesneleri bölgeler olarak tanımlanan eşitsizliklerdir. Kırmızı ve sarı tarak, dairelerin iki bölgesidir.
n1=8;n2=16;
w8=Round[.78 Table[{Cos[2\[Pi] k/n1],Sin[2\[Pi] k/n1]},{k,0,n1-1}],.01];
w16=Round[1 Table[{Cos[2\[Pi] k/n2],Sin[2\[Pi] k/n2]},{k,0,n2-1}],.01];
n=12;y1=.267;
x2=1/Sqrt[2];w=1.8;v=1.85;
pts={{-w,w},{-w/4,w},{-w/4,w+w/8},{-5w/8,w+w/8},{-5w/8,w+5w/24},{5w/8,w+5w/24},{5w/8,w+w/8},{w/4,w+w/8},{w/4,w},
{w,w},{w,w/4},{w+w/8,w/4},{w+w/8,5w/8},{w+5w/24,5w/8},{w+5w/24,-5w/8},{w+w/8,-5w/8},{w+w/8,-w/4},{w,-w/4},
{w,-w},
{w/4,-w},{w/4,-w-w/8},{(5 w)/8,-w-w/8},{(5 w)/8,-w-(5 w)/24},{-((5 w)/8),-w-(5 w)/24},{-((5 w)/8),-w-w/8},{-(w/4),-w-w/8},{-(w/4),-w},{-w,-w},
{-w,-w/4},{-w-w/8,-w/4},{-w-w/8,-5w/8},{-w-5w/24,-5w/8},{-w-5w/24,5w/8},{-w-w/8,5w/8},{-w-w/8,w/4},{-w,w/4}
};
frame=RegionPlot[{
(*MeshRegion[pts2,Polygon[Range[20]]],*) (*orange trim *)
MeshRegion[pts,Polygon[Range[Length[pts]]]], (*green box *)
ImplicitRegion[x^2+y^2<2.8,{x,y}], (*white, largest circle *)
ImplicitRegion[Or@@(((x-#)^2+(y-#2)^2<.1)&@@@w16),{x,y}], (*yellow scallops*)
ImplicitRegion[x^2+y^2<1,{x,y}],(*white circle *)
ImplicitRegion[x^2+y^2<1.4,{x,y}],(*white disk*)
ImplicitRegion[Or@@(((x-#)^2+(y-#2)^2<.15)&@@@w8),{x,y}],(*red scallops*)
ImplicitRegion[x^2+y^2<1,{x,y}] , (*white disk *)
ImplicitRegion[1.8 < x^2+y^2< 2.2,{x,y}] ,(*brown outer rim*)
ImplicitRegion[2.4 < x^2+y^2< 2.8,{x,y}](*yellow outer rim*)},
BoundaryStyle->Directive[Thickness[.005],Black],
AspectRatio->1,
Frame-> False,
PlotStyle->{(*Lighter@Orange,*)
Darker@Green,White,Yellow,White,White,
Red,White,Lighter@Brown,Yellow,Red,
White,White,White,White,White,
White,White,Red,Red,Darker@Blue,
Darker@Blue,Darker@Blue,Darker@Blue,Darker@Blue,Darker@Blue,
Red,Red,Darker@Blue,Red,Yellow,Red}];
Sonra tarak yapmak için kullanılan bazı çevreleri gizlemek için bir disk var.
Graphics[{White,Disk[{0,0},.99]}]
İçmeler
Köşelerin ve üçgenlerin bazı tanımları. Her üçgen, t1, t2, ... ayrı bir bölgedir. Büyük üçgenler üzerindeki mantıksal işlemler ( RegionUnion
. RegionIntersection
Ve RegionDifference
), ayrı ayrı renklendirilebilecek türetilmiş bölgeler olarak daha küçük, üçgen hücreleri tanımlamak için kullanılır.
p1={-Cos[ArcTan[.267]],y1};
p2={Cos[ArcTan[.267]],y1};
p3={-Cos[ArcTan[.267]],-y1};
p4={Cos[ArcTan[.267]],-y1};
p5={-x2,(x2+y1)/2};
p6={x2,(x2+y1)/2};
p7={-x2,-(x2+y1)/2};
p8={x2,-(x2+y1)/2};
p9={0.5,-x2};
p10={-0.5,-x2};
p11={0.5,-x2};
p12={-0.5,-x2};
p13={a=-.34,b=-.12};
p14={-a,b};
p15={0.5,x2};
p16={-0.5,x2};
t1=MeshRegion[{{0,-1},p1,p2},Triangle[{1,2,3}]];
t2=MeshRegion[{{0,1},p3,p4},Triangle[{1,3,2}]];
t3=MeshRegion[{{0,-x2},p5,p6},Triangle[{1,3,2}]];
t4=MeshRegion[{{0,x2},p7,p8},Triangle[{1,3,2}]];
t5=MeshRegion[{{0,+y1},p9,p10},Triangle[{1,3,2}]];
t6=MeshRegion[{{0,p5[[2]]},p13,p14},Triangle[{1,3,2}]];
t7=MeshRegion[{{0,p13[[2]]},p15,p16},Triangle[{1,3,2}]];
t8=MeshRegion[{{0,p7[[2]]},{-.33,p1[[2]]-.12},{.33,p1[[2]]-.12}},Triangle[{1,3,2}]];
t9=MeshRegion[{{0,p3[[2]]},{z=-.23,0.063},{-z,.063}},Triangle[{1,3,2}]];
disk=Graphics[{White,Disk[{0,0},.99]}];
innards=RegionPlot[{
t1,t2,t3,t4,t5,t6,t7,t8,t9,(*White*)
RegionDifference[t1,RegionUnion[t5,t4,t2]],(*Blue*)
RegionDifference[t4,RegionUnion[t1,t3,t5]],(*red*)
RegionDifference[t3,RegionUnion[t7,t4,t2]], (*blue*)
RegionDifference[t2,RegionUnion[t1,t7,t3]], (*blue*)
RegionDifference[t5,t1], (*blue*)
RegionDifference[t4,RegionUnion[t1,t7]], (*Blue *)
RegionDifference[t7,t2],(*Blue*)
RegionDifference[t3,RegionUnion[t1,t2]],(*Blue *)
RegionDifference[t8,t2], (* blue *)
RegionDifference[t9,t5], (* red *)
RegionDifference[t9,t6], (* red *)
RegionIntersection[t4,RegionDifference[t6,t1]], (*blue*)
RegionIntersection[t6,RegionDifference[t5,t8]], (* red *)
RegionIntersection[t7,t9], (*yellow*)
RegionDifference[RegionIntersection[t7,t8],t5], (*red *)
RegionDifference[RegionIntersection[t5,t6],RegionUnion[t7,t9]],(*red *)
ImplicitRegion[x^2+y^2<= .001,{x,y}], (* smallest circle *) (* red *)
RegionDifference[RegionIntersection[t7,t1 ],t6], (*Red*)
RegionDifference[t8,RegionUnion[t5,t6]],
RegionDifference[t6,RegionUnion[t7,t8]],
RegionDifference[RegionIntersection[t2,t5],RegionUnion[t7,t8]],
RegionDifference[RegionIntersection[t7,t3],t4],
RegionDifference[RegionIntersection[t1,t3],RegionUnion[t5,t4]],
RegionDifference[RegionIntersection[t2,t4],RegionUnion[t7,t3]],
RegionDifference[RegionIntersection[t5,t4],t3]},
BoundaryStyle->Directive[Thickness[.005],Black],
AspectRatio->1,
PlotStyle->{
White,White,White,White,White,White,White,White,White,
Blue,Red,Red,Blue,Blue,Blue,Blue,Blue,Blue,
Red,Red,Blue,Red,Yellow,Red,Red,Red,Blue,Blue,Blue,Blue,Red,Red,Red,Red}]
Parçaları bir araya getirmek
Show[frame,disk,innards,Graphics[{Brown,Thickness[.02],Line[Append[pts,{-w,w}]]}];
Graphics[{RGBColor[0.92,0.8,0.],Thickness[.015],Line[Append[pts,{-w,w}]]}]]
golfed
r=ImplicitRegion;m=MeshRegion;t=Triangle;d=RegionDifference;u=RegionUnion;i=RegionIntersection;(*s=ImplicitRegion*)
n1=8;n2=16;w8=.78 Table[{Cos[2\[Pi] k/n1],Sin[2\[Pi] k/n1]},{k,0,n1-1}];
w16=Table[{Cos[2\[Pi] k/n2],Sin[2\[Pi] k/n2]},{k,0,n2-1}];n=12;y1=.267;x2=1/Sqrt[2];w=1.8;v=1.85;
pts={{-w,w},{-w/4,w},{-w/4,w+w/8},{-5w/8,w+w/8},{-5w/8,w+5w/24},{5w/8,w+5w/24},{5w/8,w+w/8},{w/4,w+w/8},{w/4,w},
{w,w},{w,w/4},{w+w/8,w/4},{w+w/8,5w/8},{w+5w/24,5w/8},{w+5w/24,-5w/8},{w+w/8,-5w/8},{w+w/8,-w/4},{w,-w/4},
{w,-w},{w/4,-w},{w/4,-w-w/8},{(5 w)/8,-w-w/8},{(5 w)/8,-w-(5 w)/24},{-((5 w)/8),-w-(5 w)/24},{-((5 w)/8),-w-w/8},{-(w/4),-w-w/8},{-(w/4),-w},{-w,-w},
{-w,-w/4},{-w-w/8,-w/4},{-w-w/8,-5w/8},{-w-5w/24,-5w/8},{-w-5w/24,5w/8},{-w-w/8,5w/8},{-w-w/8,w/4},{-w,w/4}};
frame=RegionPlot[{
m[pts,Polygon[Range[Length[pts]]]],
r[x^2+y^2<2.8,{x,y}],
r[Or@@(((x-#)^2+(y-#2)^2<.1)&@@@w16),{x,y}],
r[x^2+y^2<1,{x,y}],
r[x^2+y^2<1.4,{x,y}],
r[Or@@(((x-#)^2+(y-#2)^2<.15)&@@@w8),{x,y}],
r[x^2+y^2<1,{x,y}] ,
r[1.8 < x^2+y^2< 2.2,{x,y}] ,
r[2.4 < x^2+y^2< 2.8,{x,y}]},
BoundaryStyle->Directive[Thickness[.003],Black],
AspectRatio->1,
Frame-> False,
PlotStyle->{Darker@Green,White,Yellow,White,White,Red,White,Lighter@Brown,Yellow,Red}];
c=Cos[ArcTan[y1]];
p1={-c,y1};
p2={c,y1};
p3={-c,-y1};
p4={c,-y1};
p5={-x2,(x2+y1)/2};
p6={x2,(x2+y1)/2};
p7={-x2,-(x2+y1)/2};
p8={x2,-(x2+y1)/2};
p9={0.5,-x2};
p10={-0.5,-x2};
p11={0.5,-x2};
p12={-0.5,-x2};
p13={a=-.34,b=-.12};
p14={-a,b};
p15={0.5,x2};
p16={-0.5,x2};
t1=m[{{0,-1},p1,p2},t[{1,2,3}]];
t2=m[{{0,1},p3,p4},t[{1,3,2}]];
t3=m[{{0,-x2},p5,p6},t[{1,3,2}]];
t4=m[{{0,x2},p7,p8},t[{1,3,2}]];
t5=m[{{0,+y1},p9,p10},t[{1,3,2}]];
t6=m[{{0,p5[[2]]},p13,p14},t[{1,3,2}]];
t7=m[{{0,p13[[2]]},p15,p16},t[{1,3,2}]];
t8=m[{{0,p7[[2]]},{-.33,p1[[2]]-.12},{.33,p1[[2]]-.12}},t[{1,3,2}]];
t9=m[{{0,p3[[2]]},{z=-.23,0.063},{-z,.063}},t[{1,3,2}]];
innards=RegionPlot[{
d[t1,u[t5,t4,t2]],
d[t4,u[t1,t3,t5]],
d[t3,u[t7,t4,t2]],
d[t2,u[t1,t7,t3]],
d[t5,t1],
d[t4,u[t1,t7]],
d[t7,t2],
d[t3,u[t1,t2]],
d[t8,t2],
d[t9,t5],
d[t9,t6],
i[t4,d[t6,t1]],
i[t6,d[t5,t8]],
i[t7,t9],
d[i[t7,t8],t5],
d[i[t5,t6],u[t7,t9]],
r[x^2+y^2<= .001,{x,y}],
d[i[t7,t1 ],t6],
d[t8,u[t5,t6]],
d[t6,u[t7,t8]],
d[i[t2,t5],u[t7,t8]],
d[i[t7,t3],t4],
d[i[t1,t3],u[t5,t4]],
d[i[t2,t4],u[t7,t3]],
d[i[t5,t4],t3]},
BoundaryStyle->Directive[Thickness[.003],Black],
Frame->False,
PlotStyle->{Blue,Red,Red,Blue,Blue,Blue,Blue,Blue,Blue,
Red,Red,Blue,Red,Yellow,Red,Red,Red,Blue,Blue,Blue,Blue,Red,Red,Red,Red}];
trim=Graphics[{RGBColor[0.92,0.8,0.],Thickness[.01],Line[Append[pts,{-w,w}]]}];
trim2=Graphics[{Brown,Thickness[.02],Line[Append[pts,{-w,w}]]}];
Show[frame,Graphics[{White,Disk[{0,0},.99]}],trim2,trim,innards]