A sphere has two latitudinal circles on it and one dot on each circle. Count the number of faces, edges, and vertices on this sphere. Compute V − E + F. Did you get the answer you expected? Why or why not? What hypothesis about the Euler Characteristic Theorem does this question pertain to?
A sphere has two latitudinal circles on it and one dot on each circle. Count the number of faces, edges, and vertices on this sphere. Compute V − E + F. Did you get the answer you expected? Why or why not? What hypothesis about the Euler Characteristic Theorem does this question pertain to?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 10AEXP
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A sphere has two latitudinal circles on it and one dot on each circle.
Count the number of faces, edges, and vertices on this sphere. Compute V − E + F. Did you get the answer you expected? Why or why not? What hypothesis about the Euler Characteristic Theorem does this question pertain to?
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