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Packages and Polygons

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Semi-Regular Polyhedron<br />

Semi-regular polyhedra have at least two different regular polygons<br />

as faces. You can make these solids by cutting off equal pieces from<br />

each vertex.<br />

1. Explain why the Platonic solids are regular polyhedra.<br />

Jonathan has a strategy for counting the number of<br />

edges on the octahedron. He says, “I see eight edges<br />

in the picture, <strong>and</strong> the back side of the octahedron<br />

looks the same as the front side, so two times eight<br />

equals sixteen edges.”<br />

2. a. What might Jonathan be thinking?<br />

b. How can you change Jonathan’s statement<br />

so that you get the correct number of edges?<br />

Section D: Polyhedra 41

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