- + Problem 10. (a) The icosahedron has 20 triangular faces, with 5 triangles at each vertex Using these facts, how many

[answerhappygod]

Problem 10 A The Icosahedron Has 20 Triangular Faces With 5 Triangles At Each Vertex Using These Facts How Many 1 (32.03 KiB) Viewed 12 times

- + Problem 10. (a) The icosahedron has 20 triangular faces, with 5 triangles at each vertex Using these facts, how many vertices and edges does it have? Justify. (b) Explain the Schläfli symbol {n, k} for a regular tiling, 1 1 1 1 1 1 1 (For regular tilings, explain when 2 2 (d) Explain what are the possible angles of a hyperbolic regular n-gon. (e) Explain why there are infinitely many regular hyperbolic tilings, but only five regular spherical tilings, and only three regular Euclidean tilings. Problem 11. Fill in the following chart with orientation-preserving isometries, classified by a pair of reflections in two lines mand : ++ > 72 n m. nu intersect m. n disjoint R S? m, n asymptotic: min ultraparallel H?