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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.3, Problem 4EE

Textbook Problem

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- Give a reason why the graph below Cannot be the projection of a regular Convex polyhedron.

- If the above graph is the projection of a three-dimensional convex polyhedron, how many faces does the polyhedron have?
- Describe, in as much detail as you can, additional features of the polyhedron corresponding to the graph. If you are feeling adventurous, sketch a polyhedron that this graph could be a projection of!

To determine

**(a)**

**To Explain:**

The reason for that the given graph cannot be the projection of a regular convex polyhedron.

**Given information:**

The graph is

**Concept used:**

A regular polyhedron is a three âˆ’dimensional object in which all faces are identical...

To determine

**(b)**

The number of faces of the polyhedron.

To determine

**(c)**

**To explain:**

The features of the polyhedron corresponding to the given graph and sketch a polyhedron that this graph could be a projection of.

Mathematical Excursions (MindTap Course List)

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