Geometric pattern on the facade of a synagogue in Budapest
Sándor Kabai
The geometric patters located on the facade of Dohány Street Synagogue, Budapest, Hungary is approximated by intersecting bars. A large and six small Stars of David can be recognised in he pattern.
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c1=Tube[Table[{Sin[i2Pi/60],Cos[i2Pi/60],0},{i,60+1}],0.018];​​rad=0.13;​​angle=Tube[{{rad,1,0},{rad,rad,0},{1,rad,0}},0.015];​​angle12=Table[Rotate[angle,i2Pi/12,{0,0,1}],{i,12}];​​bar1=Tube[{{-0.5,-0.85,0},{-0.5,0.85,0}},0.014];​​stardavid=Table[Rotate[bar1,i2Pi/6,{0,0,1}],{i,6}];​​brace=Tube[{{-0.78,-0.63,0},{-0.78,0.63,0}},0.015];​​brace6=Table[Rotate[brace,i2Pi/6,{0,0,1}],{i,6}];​​​​Graphics3D[{Cyan,stardavid,Green,brace6,Pink,c1,Yellow,angle12},ImageSize400,Boxed->False,ViewPoint->{0,0,100},SphericalRegion->True]
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​​t1=Polygon[Table[{Sin[i2Pi/3+Pi/6],Cos[i2Pi/3+Pi/6],0},{i,3}]];​​t2=Polygon[Table[{Sin[i2Pi/3-Pi/6],Cos[i2Pi/3-Pi/6],0},{i,3}]];​​​​Graphics3D[{c1,t1,t2,Yellow,angle,Cyan,stardavid,Green,brace},ImageSize400,Boxed->False,ViewPoint->{0,0,100},SphericalRegion->True]
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Graphics3D[{t1,t2,Yellow,angle12,Cyan,stardavid,Pink,c1},ImageSize400,Boxed->False,ViewPoint->{0,0,100},SphericalRegion->True]
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st=Table[Rotate[Translate[Scale[{t1,t2},0.26],{0,0.742,0}],i2Pi/6,{0,0,1}],{i,6}];​​Graphics3D[{Green,brace6,Cyan,stardavid,Pink,c1,Yellow,angle12,Pink,st},ImageSize400,Boxed->False,ViewPoint->{0,0,100},SphericalRegion->True]
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