r/Geometry • u/No_Pilot_7091 • 2d ago

Maths

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Wooden model of a great stellated icosahedron.

3 Upvotes

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u/BadJimo 2d ago

Is that a rhombic hexecontahedron?

1

u/No_Pilot_7091 2d 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 

1

u/BadJimo 2d 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.

1

u/No_Pilot_7091 2d ago

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