(v) For a regular polyhedron, notice that each vertex has the same degree, call it k. What is the sum of the degrees in terms of k and v? [Hint: Solve a Simpler problem.] sum of degrees = (vi) So, how many edges does the regular polyhedron have in terms of k and v? e =

(v) For a regular polyhedron, notice that each vertex has the same degree, call it k. What is the sum of the degrees in terms of k and v? [Hint: Solve a Simpler problem.] sum of degrees = (vi) So, how many edges does the regular polyhedron have in terms of k and v? e =

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 7E: A regular polyhedron has 12 edges and 6 vertices. a Use Eulers equation to find the number of faces....

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Question

(v) For a regular polyhedron, notice that each vertex has the same degree, call it k.
What is the sum of the degrees in terms of k and v? [Hint: Solve a Simpler problem.]
sum of degrees =
(vi) So, how many edges does the regular polyhedron have in terms of k and v?
e =

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