{4,4}(2,2)


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Statistics

genus c1, orientable
Schläfli formula c{4,4}
V / F / E c 8 / 8 / 16
notessingular is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 1
Petrie polygons
holes
8, each with 4 edges
8, each with 4 edges
rotational symmetry group((C2×C2)⋊C4)×C2, with 32 elements
full symmetry group64 elements.
C&D number cR1.s2-2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

It is self-Petrie dual.

It can be 2-fold covered to give {4,4}(4,0).
It is a 2-fold cover of {4,4}(2,0).

It can be rectified to give {4,4}(4,0).
It is the result of rectifying {4,4}(2,0).

Other regular maps in the same manifold.

Underlying Graph

If we ignore its faces and regard it as a graph, it is isomorphic to K4,4.

Cayley Graphs based in this Regular Map


Type I

Q8

Other Regular Maps

General Index

The images on this page are copyright © 2010 N. Wedd