Asked in CalculusGeometry
What is The number of a regular polyhedra?
January 27, 2009 5:26AM
There are 5 regular polyhedra: tetrahedron, cube,octahedron, dodecahedron and icosahedron. The number could be said to be 8 when the three zero volume polyhedra are added, the Triangle, the square and the hexagon. The formula is 1/sides per face + 1/faces per node = 1/edges + 1/2.
For example 1/3 + 1/6 = 1/2 + 1/e edges are infinite cover the plane for 6 triangles at a node, also 1/4 +1/4 gives four squares at a node and finally 1/6 + 1/3 gives 3 hexagon at a node also covers the plane.