302 HW 12 - edges coming out of any vertex is the same for...

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M302 HOMEWORK #12 Dr. Schurle Assignment: page 284, #1, 2, 3, 5, 11 Grade the following for 2 points each. #1. A polygon is regular if all the sides are the same length and all the angles are the same size. There are lots of possible sketches, with regular ones being equilateral triangles, squares, regular pentagon, regular hexagon, etc, and nonregular ones can be anything as long as either two sides are not the same length or two angles are not the same size. #2. A solid is regular if its faces are identical regular polygons and the number of
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Unformatted text preview: edges coming out of any vertex is the same for all vertices. #3. A cube has 6 faces, 12 edges, and 8 vertices. A tetrahedron has 4 faces, 6 edges, and 4 vertices. #5. The leftmost is a tetrahedron viewed from above a vertex. The middle one must be a cube viewed from above a face. The rightmost is an octahedron viewed from above a vertex. #11. Vertices V Edges E Faces F V E + F tetrahedron 4 6 4 2 cube 6 12 8 2 octahedron 6 12 8 2 dodecahedron 20 30 12 2 icosahedron 12 30 20 2 You always get 2!...
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This note was uploaded on 03/19/2008 for the course M 302 taught by Professor Irwin during the Spring '08 term at University of Texas at Austin.

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