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# What has 5 vertices 5 faces and 10 edges?

Updated: 4/28/2022

Wiki User

10y ago

There is no straightforward answer: the numbers contradict the Euler characteristic for simply connected polyhedra.

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10y ago

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Q: What has 5 vertices 5 faces and 10 edges?
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A rectangular-based pyramid has 5 faces, 8 edges, and 5 vertices. To check if the numbers are right, the Euler's rule can be used. The formula is Faces + Vertices = Edges + 2. Clearly, the sum of the faces and vertices, which is 10, is equal to the sum of the edges plus 2, which is also 10.

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