Mathematics
Can a polyhedron have 8 faces, 26 edges and 16 vertices ?
3D in 2D
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Answer
Clearly, F = 8
V = 16
E = 26
According to Euler's formula,
F + V - E = 2
F + V - E = 8 + 16 - 26
= 24 - 26
= - 2
ā F + V - E is not equal to 2.
Hence, a polyhedron can not have 8 faces, 26 edges and 16 vertices.
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