h-net: hqc553

Topological data

Orbifold symbol	2*222
Transitivity (vertex, edge, ring)	(3,4,1)
Vertex degrees	{4,4,3}
2D vertex symbol	{7.7.7.7}{7.7.7.7}{7.7.7}
Delaney-Dress Symbol	<553.1:7:1 3 5 7,2 4 6 7,1 2 3 4 5 7:7,4 4 3>
Dual net	hqc336

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)
	sqc6457		P42/nnm	134	tetragonal	{4,4,3}	16	(3,4)
	sqc6593		P42/nnm	134	tetragonal	{4,4,3}	16	(3,4)
	sqc6456		Ibca	73	orthorhombic	{4,4,3}	16	(3,5)
	sqc6610		Ibca	73	orthorhombic	{4,4,3}	16	(3,5)
	sqc6614		Ibca	73	orthorhombic	{4,4,3}	16	(3,5)
	sqc6843		Ibca	73	orthorhombic	{4,4,3}	16	(3,5)
	sqc1219		Pnnn	48	orthorhombic	{3,4,4}	8	(3,4)
	sqc6455		I41/amd	141	tetragonal	{4,4,3}	16	(3,4)
	sqc6615		I41/amd	141	tetragonal	{4,4,3}	16	(3,4)
	sqc6839		I41/amd	141	tetragonal	{4,4,3}	16	(3,4)

s-nets with edge collapse

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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
	UQC5865	*222222a	(6,7,2)	{4,4,3,3,4,4}	{7.7.7.7}{7.7.7.7}{7.7.7}{7.7.7}...	No s‑net	sqc6843	sqc6839
	UQC5866	*222222b	(6,7,2)	{4,4,3,3,4,4}	{7.7.7.7}{7.7.7.7}{7.7.7}{7.7.7}...	sqc1120	sqc6610	sqc1219
	UQC5867	*222222a	(6,7,2)	{4,4,3,3,4,4}	{7.7.7.7}{7.7.7.7}{7.7.7}{7.7.7}...	sqc6457	sqc6456	sqc6455
	UQC5868	*222222a	(6,7,2)	{4,4,3,3,4,4}	{7.7.7.7}{7.7.7.7}{7.7.7}{7.7.7}...	sqc6593	sqc6614	sqc6615

Symmetry-lowered hyperbolic tilings

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