Answered: Let Q be a regular tetrahedron and p a…

Let Q be a regular tetrahedron and p a point outside Q. What is the greatest number of faces conv(Q U p) can have for any p? What is the fewest? Can conv(Q U p) have an odd number of faces?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Let Q be a regular tetrahedron and p a point outside Q. What is the greatest number of faces conv(Q U p) can have for any p? What is the fewest? Can conv(Q U p) have an odd number of faces?

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