OFFSET
1,1
COMMENTS
Only included for completeness (see other sequences in crossrefs). This is one of those entries that I think should be included since it is such an elementary sequence in geometry, but where the terms do otherwise not really make a very spectacular sequence.
The ordering of the polytopes in the enumeration of the element counts is somewhat arbitrary, though based on invariants inherently associated with these polytopes. For example, ordering first by vertex-count, then by edge-count, then by face-count and then by cell-count might have been as good a choice as the one used for the sequence.
LINKS
EXAMPLE
Polytope | Schläfli symbol | Density | Cells | Faces | Edges | Vertices
----------------------------------------------------------------------------------
Sm st 120-cell | {5/2,5,3} | 4 | 120 | 720 | 1200 | 120
Ico 120-cell | {3,5,5/2} | 4 | 120 | 1200 | 720 | 120
Grt 120-cell | {5,5/2,5} | 6 | 120 | 720 | 720 | 120
Grd 120-cell | {5,3,5/2} | 20 | 120 | 720 | 720 | 120
Grt st 120-cell | {5/2,3,5} | 20 | 120 | 720 | 720 | 120
Grd st 120-cell | {5/2,5,5/2} | 66 | 120 | 720 | 720 | 120
Grt grd 120-cell | {5,5/2,3} | 76 | 120 | 720 | 1200 | 120
Grt ico 120-cell | {3,5/2,5} | 76 | 120 | 1200 | 720 | 120
Grt grd st 120-cell | {5/2,3,3} | 191 | 120 | 720 | 1200 | 600
Grd 600-cell | {3,3,5/2} | 191 | 600 | 1200 | 720 | 120
======================
| Keys |
======================
| Sm | Small |
| St | Stellated |
| Grt | Great |
| Grd | Grand |
| Ico | Icosahedral |
======================
CROSSREFS
KEYWORD
nonn,tabf,fini,full
AUTHOR
Felix Fröhlich, Feb 27 2019
STATUS
approved