Many polyhedra?
Geometry
Level
pending
How many convex polyhedra satisfy the following?
- All faces are made of regular polygons with three or more sides.
- Every vertex joins the same type/number of faces. (For example, if one vertex joins one triangle and two squares, then all vertices do.)
Image Credit: www.pinterest.com
19
0
An infinite number
13
None of these answers
5
18
14
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1 solution
There are an infinite number of n-gon prisms, each which satisfy the above requirements.
For example, the decagon prism pictured here:
Image credit: en.wikipedia.org