Please answer using discreet math A truncated icosidodecahedron (also known as a
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Question
Please answer using discreet math
A truncated icosidodecahedron (also known as a "great rhombicosidodecahedron" or omnitruncated icosidodecahedron") is a polyhedron with 120 vertices. Each vertex looks the same: a square, a hexagon, and a decagon come together at each vertex. How many edges does a truncated icosidodecahedron have? Explain how you arrive at your answer. (Note: the picture in the figure doesn't show the vertices or edges on the back of the polyhedron.) This answer has not been graded yet.Explanation / Answer
The Swiss mathematician physicist, Leonhard Euler, is known for several findings and works in the world of mathematics and physics. In 1750, Euler derived the formula F+V=E+2 which holds for all convex polyhedra. The variables F, V, and E represent faces, vertices, and edges of a polyhedron respectively. This can be seen with ease for the icosidodecahedron.
62 total faces:
30 squares, 20 regular hexagons and 12 regular decagons
120 vertices:
1 square, 1 hexagon and 1 decagon
Thus we know, F+V=E+2
E=F+V-2
E=62+120-2
E=180
Thus edges is 180 in icosidodecahedron.