   # 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. ### 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 3EE
Textbook Problem
81 views

## 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.

### Explanation of Solution

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.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
In Problems 35-42, simplify each complex fraction. 36.

Mathematical Applications for the Management, Life, and Social Sciences

Show that the triangle with vertices (5, 2), (2, 5), and (5, 2) is a right triangle.

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Domain Find the domain of the function. 18. f(x)=x+41xx

Precalculus: Mathematics for Calculus (Standalone Book)

Calculate y'. 3. y=x2x+2x

Calculus: Early Transcendentals

Construct the supplement of the obtuse angle T shown.

Elementary Geometry For College Students, 7e

True or False: converges.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Verify that X'=(c1c2)et is a solution of the linear system X'=(1001)X for arbitrary constants c1 and c2. By han...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Price Comparison of Smoothie Blenders. A personal fitness company produces both a deluxe and a standard model o...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Using Quadratic Regression In Exercises S-13 through S-20, use regression to find a quadratic model for the giv...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List) 