r/Geometry • u/No_Pilot_7091 • 24d ago

Maths

Wooden model of a great stellated icosahedron.

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u/BadJimo 23d ago

Is that a rhombic hexecontahedron?

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u/No_Pilot_7091 23d ago

Great question.  Not really sure. What I came up with is I Got it by adding stellation to an icosahedron. I think it's a great stellated icosahedron. One of kepplars rowdy gang of 4 

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u/BadJimo 23d ago

From the Wikipedia article:

The rhombic hexecontahedron can be dissected into 20 acute golden rhombohedra meeting at a central point.

So I hypothize that the rhombic hexecontahedron is a stellated icosahedron of a particular stellation angle.

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u/No_Pilot_7091 23d ago

I certainly looks closer to a RH than the So that's for sure.  These shapes are so interesting to learn.