# {4,4}(2,0)        ### Statistics

 genus c 1, orientable Schläfli formula c {4,4} V / F / E c 4 / 4 / 8 notes   vertex, face multiplicity c 2, 2 Petrie polygonsholes2nd-order Petrie polygons 4, each with 4 edges8, each with 2 edges8, each with 2 edges rotational symmetry group (C2×C2) ⋊ C4, with 16 elements full symmetry group 32 elements. C&D number c R1.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 3-split to give S5:{12,4}.
It can be 5-split to give R9.12′.
It can be 7-split to give R13.6′.
It can be 9-split to give R17.14′.
It can be 11-split to give R21.12′.

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.

### Wireframe constructions

the 2-hosohedron the 2-hosohedron the 2-hosohedron × × × × × × × With a Dehn twist × With a Dehn twist.

### Underlying Graph

Its skeleton is 2 . 4-cycle.

### Cayley Graphs based in this Regular Map

 C2×C2

#### Type II

 (C2×C2) ⋊ C4

#### Type IIa

 (C2×C2) ⋊ C4

## Other Regular Maps

General Index 