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Can a polyhedron have 10 faces, 14 vertices and 20 edges
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17 votes
17 votes
Can a polyhedron have 10 faces, 14 vertices and 20 edges

User Pritom Sarkar
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1 Answer

16 votes
16 votes

Answer:

nope

Explanation:

Since the Euler's formula does not hold true for the given number of faces, edges and vertices, therefore, there does not exist any polyhedron with 10 faces, 20 edges and 15 vertices.

User RichardW
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