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A snub cube is a polyhedron with 38 faces, 6 of which are square, the remaining 32 being triangles. How many edges does a snub cube have? How many vertices?

A snub cube is a polyhedron with 38 faces, 6 of which are square, the remaining 32 being triangles. How many edges does a snub cube have? How many vertices?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A snub cube is a polyhedron with 38 faces, 6 of which are square, the remaining 32 being triangles. How many edges does a snub cube have? How many vertices? 3d model from wikipedia Answer: We will use Euler's formula. Let the number of vertices be v, the number of edges be e and the number of faces be f. We have f = 38. We first determine the number of edges. We have 6 square faces with 6 × 4 = 24 sides and 32 triangles with 3 × 32 = 96 sides. Each edge is formed by exactly two sides joined together so we have e = 60 edges. 24+96 2 We now use Euler's formula to determine the number of vertices: v=e+f=2=v-60 +38 So v 60+ 2 - 38 = 24. = -
Transcribed Image Text:A snub cube is a polyhedron with 38 faces, 6 of which are square, the remaining 32 being triangles. How many edges does a snub cube have? How many vertices? 3d model from wikipedia Answer: We will use Euler's formula. Let the number of vertices be v, the number of edges be e and the number of faces be f. We have f = 38. We first determine the number of edges. We have 6 square faces with 6 × 4 = 24 sides and 32 triangles with 3 × 32 = 96 sides. Each edge is formed by exactly two sides joined together so we have e = 60 edges. 24+96 2 We now use Euler's formula to determine the number of vertices: v=e+f=2=v-60 +38 So v 60+ 2 - 38 = 24. = -
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