Volume
1
Issue
2
Abstract
In the last proposition of the Elements Euclid proved that there are only five regular polyhedra, namely the tetrahedron, octahedron, icosahedron, cube, and dodecahedron. To show there can be no more than five he used the fact that in a polyhedra, the sum of the interior angles of the faces which meet at each vertex must be less than 360.
First Page
30
Last Page
37
Recommended Citation
Comes, Jonathan
(2004)
"Regular Polytopes,"
The Mathematics Enthusiast: Vol. 1
:
No.
2
, Article 2.
DOI: https://doi.org/10.54870/1551-3440.1007
Available at:
https://scholarworks.umt.edu/tme/vol1/iss2/2
Digital Object Identifier (DOI)
10.54870/1551-3440.1007
