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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.3, Problem 3EE

Textbook Problem

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- If we form a graph by a projection of the dodecahedron in Figure 5.20, what will the degree of each vertex be?
- The dodecahedron has 12 faces, each of which has 5 edges. Use this information to determine the number of edges in the projected graph.
- Use Euler's formula to determine the number of vertices in the projected graph, and hence in the dodecahedron.

To determine

**(a)**

The degree of the vertex of Dodecahedron.

**Given information:**

The dodecahedron has12 faces, each of which has 5 edges.

**Solution:**

The graph od Dodecahedron is

To determine

**(b)**

The number of edges of Dodecahedron.

To determine

**(c)**

The number of vertices in the Dodecahedron.

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