There are five regular polyhedrons. They are called regular because all their faces are congruent regular polygons, and the same number of faces meet at each vertex. They are also called Platonic solids after the Greek philosopher Plato, who first described them in his work Timaeus (about 350 b.c.). For the last column, match each net below with a Platonic solid. a. b. d. Fill in the blanks. Platonic SolidNumber of Faces Shape of Each Platonic Solids Number of Number of Unfolded Polyhedron, or Net Regular Polygon Vertices Edges (answer a, b, c, d, or e from above) Icosahedron 12 30

There are five regular polyhedrons. They are called regular because all their faces are congruent regular polygons, and the same number of faces meet at each vertex. They are also called Platonic solids after the Greek philosopher Plato, who first described them in his work Timaeus (about 350 b.c.). For the last column, match each net below with a Platonic solid. a. b. d. Fill in the blanks. Platonic SolidNumber of Faces Shape of Each Platonic Solids Number of Number of Unfolded Polyhedron, or Net Regular Polygon Vertices Edges (answer a, b, c, d, or e from above) Icosahedron 12 30

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 1E: Which of these two polyhedrons is concave? Note that the interior dihedral angle formed by the...

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