11. A geodesic sphere is a structure built from triangles, with varying numbers meeting at each vertex, and all vertices lying on the surface of a sphere. A particular example contains 100 triangular faces. (a) How many edges does it have? (b) How many vertices does it have? (c) The structure contains a many vertices at which six faces meet, and b many at which five meet and no other type of vertex. Find a and b.

11. A geodesic sphere is a structure built from triangles, with varying numbers meeting at each vertex, and all vertices lying on the surface of a sphere. A particular example contains 100 triangular faces. (a) How many edges does it have? (b) How many vertices does it have? (c) The structure contains a many vertices at which six faces meet, and b many at which five meet and no other type of vertex. Find a and b.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter2: Parallel Lines

Section2.5: Convex Polygons

Problem 41E

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