S5:{20,20}


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Statistics

genus c5, orientable
Schläfli formula c{20,20}
V / F / E c 1 / 1 / 10
notesFaces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c20, 20
Petrie polygons
10, each with 2 edges
rotational symmetry groupC20, with 20 elements
full symmetry groupD40, with 40 elements
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r-2tr6tr-1s  >.
C&D number cR5.16
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

It is a member of series s.

Other regular maps in the same manifold.

Underlying Graph

If we ignore its faces and regard it as a graph, it is isomorphic to a 10-fold 1-cycle.


Other Regular Maps

General Index

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