Problem

An antiprism is a polyhedron that resembles a prism except that its lateral faces are tria...

An antiprism is a polyhedron that resembles a prism except that its lateral faces are triangles. Three antiprisms are shown. Notice how the bases are rotated images of each other. Use these antiprisms to complete the following table to see if Euler’s formula holds for these shapes.

a.


b.


c.

Base

F

V

F + V

E

Triangle

 

 

 

 

Quadrilateral

 

 

 

 

Pentagon

 

 

 

 

n-gon

 

 

 

 

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Solutions For Problems in Chapter 2.4