Images for Mathematics

Three cubes with an edge in common

add to album

A simple way to understand why there are only five regular polyhedra is to examine how regular polygons can be disposed around a vertex so that the sum of their angles is smaller than 360°. In the same way, if we want to understand how many 4-dimensional regular politopes there are, we can examine how regular polyhedra can be disposed around an edge so that the sum of their dihedral angles is smaller than 360°. Here we see 3 cubes around an edge (this combination produces the hypercube); see the other possibilities.

The image belongs to the sections...:
Other costructions (3D geometry)
Images of the exhibition (From the exhibitions of matematita)
Various matters (4D geometry)


Your album

Your album still doesn't contain any image.