h-net: hqc1645

Topological data

Orbifold symbol	*2244
Transitivity (vertex, edge, ring)	(2,5,4)
Vertex degrees	{4,12}
2D vertex symbol	{4.4.3.8}{3.4.4.3.4.4.3.4.4.3.4.4}
Delaney-Dress Symbol	<1645.2:11:1 2 3 4 5 7 9 10 11,2 4 6 7 10 11,3 10 5 8 9 11:4 8 3 4,4 12>
Dual net	hqc1834

Derived s-nets

s-nets with faithful topology

5 records listed.

Image	s-net name	Other names	Space group	Space group number	Symmetry class	Vertex degree(s)	Vertices per primitive unit cell	Transitivity (Vertex, Edge)
	sqc10220		P4/nmm	129	tetragonal	{12,4}	18	(2,5)
	sqc10169		I41/a	88	tetragonal	{12,4,4}	18	(3,6)
	sqc10170		I-42d	122	tetragonal	{12,4,4}	18	(3,6)
	sqc4038		P-42m	111	tetragonal	{4,12}	9	(2,5)
	sqc10168		I41/amd	141	tetragonal	{12,4}	18	(2,5)

s-nets with edge collapse

show / hide

Derived U-tilings

2 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC2013	*2244b	(2,5,4)	{12,4}	{4.4.3.8}{3.4.4.3.4.4.3.4.4.3.4.4}	sqc10220	sqc10169	sqc10168
	UQC2014	*2244a	(2,5,4)	{12,4}	{4.4.3.8}{3.4.4.3.4.4.3.4.4.3.4.4}	sqc9985	sqc10170	sqc4038

Symmetry-lowered hyperbolic tilings

show / hide