   # 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! ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

#### Solutions

Chapter
Section ### Mathematical Excursions (MindTap C...

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.

### Explanation of Solution

Given information:

The graph is

Concept used:

A regular polyhedron is a three −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.

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