{4,4}(2,0)






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Statistics

genus c1, orientable
Schläfli formula c{4,4}
V / F / E c 4 / 4 / 8
notesis not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c2, 2
Petrie polygons
holes
4, each with 4 edges
8, each with 2 edges
rotational symmetry group(C2×C2) ⋊ C4, with 16 elements
full symmetry group32 elements.
C&D number cR1.s2-0
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}(2,2).
It is a 2-fold cover of {4,4}(1,1).

It can be built by splitting the 4-hosohedron.

It can be rectified to give {4,4}(2,2).
It is the result of rectifying {4,4}(1,1).

It is a member of series l.
It is a member of series m.

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 double 4-cycle.

Cayley Graphs based in this Regular Map


Type I

C2×C2

Type II

(C2×C2) ⋊ C4

Type IIa

(C2×C2) ⋊ C4

Other Regular Maps

General Index

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