{4,4}_(4,2)

genus ^c	1, orientable
Schläfli formula ^c	{4,4}
V / F / E ^c	20 / 20 / 40
notes
vertex, face multiplicity ^c	1, 1
Petrie polygons holes	4, each with 20 edges 8, each with 10 edges
rotational symmetry group	(C5×(C2×C2))⋊C4, with 80 elements
full symmetry group	80 elements.
C&D number ^c	C1.s4-2
The statistics marked ^c are from the published work of Professor Marston Conder.

It can be 2-fold covered to give {4,4}_(6,2).
It is a 2-fold cover of {4,4}_(3,1).

It can be 3-split to give C21.4′.
It can be 5-split to give C41.10′.
It can be 7-split to give C61.5′.
It can be 9-split to give C81.11′.

It can be rectified to give {4,4}_(6,2).
It is the result of rectifying {4,4}_(3,1).

	×	the di-decagon
	×	the di-decagon

Other Regular Maps