h-net: hqc641

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,4,3)
Vertex degrees	{12,4}
2D vertex symbol	{4.3.3.3.3.4.4.3.3.3.3.4}{3.3.3.3}
Delaney-Dress Symbol	<641.2:8:1 2 3 5 7 8,2 4 5 8 7,1 3 6 7 8:4 3 3,12 4>
Dual net	hqc832

Derived s-nets

s-nets with faithful topology

18 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)
	sqc7407		I4122	98	tetragonal	{12,4}	8	(2,5)
	sqc7466		I4122	98	tetragonal	{12,4}	8	(2,5)
	sqc7469		Fddd	70	orthorhombic	{12,4}	8	(2,5)
	sqc7470		Fddd	70	orthorhombic	{12,4}	8	(2,5)
	sqc7475		Fddd	70	orthorhombic	{12,4}	8	(2,5)
	sqc7477		I4122	98	tetragonal	{12,4}	8	(2,5)
	sqc7478		Fddd	70	orthorhombic	{12,4}	8	(2,5)
	sqc7516		Fddd	70	orthorhombic	{12,4}	8	(2,5)
	sqc7597		I4122	98	tetragonal	{12,4}	8	(2,5)
	sqc7598		I4122	98	tetragonal	{12,4}	8	(2,5)
	sqc81		Pmmm	47	orthorhombic	{4,12}	2	(2,4)
	sqc1585		P42/mmc	131	tetragonal	{4,12}	4	(2,4)
	sqc1588		P4222	93	tetragonal	{4,12}	4	(2,4)
	sqc1607		Cmma	67	orthorhombic	{4,12}	4	(2,4)
	sqc1774		P4222	93	tetragonal	{4,12}	4	(2,4)
	sqc1794		P4222	93	tetragonal	{4,12}	4	(2,4)
	sqc1796		P4222	93	tetragonal	{4,12}	4	(2,4)
	sqc1809		Cmma	67	orthorhombic	{4,12}	4	(2,4)

s-nets with edge collapse

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Derived U-tilings

10 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC830	*22222a	(2,4,3)	{12,4}	{4.3.3.3.3.4.4.3.3.3.3.4}{3.3.3.3}	No s‑net	sqc7597	sqc1585
	UQC831	*22222a	(2,4,3)	{12,4}	{4.3.3.3.3.4.4.3.3.3.3.4}{3.3.3.3}	sqc5673	sqc7407	sqc1588
	UQC832	*22222b	(2,4,3)	{12,4}	{4.3.3.3.3.4.4.3.3.3.3.4}{3.3.3.3}	No s‑net	sqc7470	sqc81
	UQC833	*22222a	(2,4,3)	{12,4}	{4.3.3.3.3.4.4.3.3.3.3.4}{3.3.3.3}	No s‑net	sqc7466	sqc1794
	UQC834	*22222b	(2,4,3)	{12,4}	{4.3.3.3.3.4.4.3.3.3.3.4}{3.3.3.3}	sqc1514	sqc7475	sqc43
	UQC835	*22222b	(2,4,3)	{12,4}	{4.3.3.3.3.4.4.3.3.3.3.4}{3.3.3.3}	sqc1462	sqc7516	sqc43
	UQC836	*22222a	(2,4,3)	{12,4}	{4.3.3.3.3.4.4.3.3.3.3.4}{3.3.3.3}	sqc1147	sqc7477	sqc1774
	UQC837	*22222b	(2,4,3)	{12,4}	{4.3.3.3.3.4.4.3.3.3.3.4}{3.3.3.3}	sqc43	sqc7478	sqc1607
	UQC838	*22222a	(2,4,3)	{12,4}	{4.3.3.3.3.4.4.3.3.3.3.4}{3.3.3.3}	sqc6263	sqc7598	sqc1796
	UQC839	*22222b	(2,4,3)	{12,4}	{4.3.3.3.3.4.4.3.3.3.3.4}{3.3.3.3}	sqc43	sqc7469	sqc1809

Symmetry-lowered hyperbolic tilings

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