Overview
- Group
- SmallGroup(4,2)
- Rank
- 2
- Schläfli Type
- {2}
- Vertices, edges, …
- 2, 2
- Order of s0s1
- 2
- Also known as
- if this polytope has a name.
Special Properties
- Degenerate
- Universal
- Spherical
- Locally Spherical
- Orientable
- Flat
- Self-Dual
Quotients maximal quotients in bold
No regular quotients.
Covers minimal covers in bold
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Representations
Permutation Representation (GAP)
s0 := (1,2);; s1 := (3,4);; poly := Group([s0,s1]);;
Finitely Presented Group Representation (GAP)
F := FreeGroup("s0","s1");;
s0 := F.1;; s1 := F.2;;
rels := [ s0*s0, s1*s1, s0*s1*s0*s1 ];;
poly := F / rels;;
Permutation Representation (Magma)
s0 := Sym(4)!(1,2); s1 := Sym(4)!(3,4); poly := sub<Sym(4)|s0,s1>;
Finitely Presented Group Representation (Magma)
poly<s0,s1> := Group< s0,s1 | s0*s0, s1*s1, s0*s1*s0*s1 >;