5. The faces of a 3-regular polyhedron are all squares or hexagons. How many square faces can the polyhedron have? Does the number of square faces uniquely determine the polyhedron? (Please see attachment)© BrainMass Inc. brainmass.com March 4, 2021, 6:08 pm ad1c9bdddf
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First of all, we have to state precisely that we are talking about convex polyhedrons.
For every convex polyhedron (either regular or not) it is valid the Euler relation:
v + f - e = 2 ( 1)
v = no. of vertices
f = no. of faces
e = no. of edges
Let denote ...
A 3-regular polyhedron is investigate. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.