The di-square

Statistics

genus c	0, orientable
Schläfli formula c	{4,2}
V / F / E c	4 / 2 / 4
notes
vertex, face multiplicity c	1, 4
Petrie polygons	2, each with 4 edges
antipodal sets	2 of ( 2v, 2e ), 1 of ( 2f )
rotational symmetry group	D8, with 8 elements
full symmetry group	D8×C2, with 16 elements
its presentation c	< r, s, t | r2, s2, t2, (rs)4, (st)2, (rt)2 >
C&D number c	R0.n4′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the 4-hosohedron.

It is self-Petrie dual.

It is a 2-fold cover of the hemi-di-square.

It can be 3-split to give the di-dodecagon.

It can be rectified to give the 4-lucanicohedron.

It can be diagonalised to give the tetrahedron.

It is a member of series m.

List of regular maps in orientable genus 0.

Wireframe constructions

	×	the monodigon
	×	the monodigon
	×	the monodigon
	×	the monodigon

Underlying Graph

Its skeleton is 4-cycle.

Cayley Graphs based in this Regular Map

Type I

Type II

Other Regular Maps

General Index

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