Regular Polyhedra of Index Two, II

Details Regular Polyhedra of Index Two, II Regular Polyhedra of Index Two, II

2010-11-12

arxiv.org/abs/1011.3034v1

Mathematics

Metric Geometry

33 pages; 5 figures; to appear in "Contributions to Algebra and Geometry"

Scientific paper

A polyhedron in Euclidean 3-space is called a regular polyhedron of index 2 if it is combinatorially regular and its geometric symmetry group has index 2 in its combinatorial automorphism group; thus its automorphism group is flag-transitive but its symmetry group has two flag orbits. The present paper completes the classification of finite regular polyhedra of index 2 in 3-space. In particular, this paper enumerates the regular polyhedra of index 2 with vertices on one orbit under the symmetry group. There are ten such polyhedra.

Affiliated with

Also associated with

No associations

Rating

Regular Polyhedra of Index Two, II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Regular Polyhedra of Index Two, II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regular Polyhedra of Index Two, II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-444767