h-net: hqc180

Topological data

Orbifold symbol	2*222
Transitivity (vertex, edge, ring)	(2,3,1)
Vertex degrees	{4,3}
2D vertex symbol	{10.10.10.10}{10.10.10}
Delaney-Dress Symbol	<180.1:5:1 3 5,2 4 5,1 2 3 5:10,4 3>
Dual net	hqc127

Derived s-nets

s-nets with faithful topology

11 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)
	sqc3277		P42/nnm	134	tetragonal	{4,3}	12	(2,3)
	sqc3701		P42/nnm	134	tetragonal	{4,3}	12	(2,3)
	sqc521		Cmma	67	orthorhombic	{3,4}	6	(2,4)
	sqc3281		Ibca	73	orthorhombic	{4,3}	12	(2,4)
	sqc3692		Ibca	73	orthorhombic	{4,3}	12	(2,4)
	sqc3697		Ibca	73	orthorhombic	{4,3}	12	(2,4)
	sqc473		Pnnn	48	orthorhombic	{3,4}	6	(2,3)
	sqc3280		I41/amd	141	tetragonal	{4,3}	12	(2,3)
	sqc3698		I41/amd	141	tetragonal	{4,3}	12	(2,3)
	sqc3748		I41/amd	141	tetragonal	{4,3}	12	(2,3)

s-nets with edge collapse

show / hide

Derived U-tilings

4 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC4612	*222222a	(4,5,2)	{4,3,3,4}	{10.10.10.10}{10.10.10}{10.10.10...	sqc3277	sqc3281	sqc3280
	UQC4613	*222222b	(4,5,2)	{4,3,3,4}	{10.10.10.10}{10.10.10}{10.10.10...	sqc326	sqc3692	sqc473
	UQC4614	*222222a	(4,5,2)	{4,3,3,4}	{10.10.10.10}{10.10.10}{10.10.10...	sqc3701	sqc521	sqc3748
	UQC4615	*222222a	(4,5,2)	{4,3,3,4}	{10.10.10.10}{10.10.10}{10.10.10...	No s‑net	sqc3697	sqc3698

Symmetry-lowered hyperbolic tilings

show / hide