{4,4}(4,0)


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Statistics

genus c1, orientable
Schläfli formula c{4,4}
V / F / E c 16 / 16 / 32
notesreplete singular is a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 1
Petrie polygons
holes
8, each with 8 edges
16, each with 4 edges
rotational symmetry group(C4×C4)⋊C4, with 64 elements
full symmetry group128 elements.
C&D number cR1.s4-0
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is S5:{8,4}4.

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

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

Other regular maps in the same manifold.

Underlying Graph

If we ignore its faces and regard it as a graph, it is isomorphic to C4 □ C4.

Comments

Its graph is the the same as that of the tesseract.

Cayley Graphs based in this Regular Map


Type I

(C2×C2) ⋊ C4
C4 ⋊ C4
Pauli(16)
C4×C4
C2×C2×C2×C2
C4×C2×C2

Other Regular Maps

General Index

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