h-net: hqc643

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(2,4,3)
Vertex degrees	{12,4}
2D vertex symbol	{4.3.6.6.3.4.4.3.6.6.3.4}{3.6.3.6}
Delaney-Dress Symbol	<643.2:8:1 2 3 5 7 8,2 4 5 8 7,1 3 6 7 8:4 3 6,12 4>
Dual net	hqc833

Derived s-nets

s-nets with faithful topology

6 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)
	sqc1646		Cmma	67	orthorhombic	{12,4}	4	(2,4)
	sqc1655		C2/c	15	monoclinic	{12,4}	4	(2,5)
	sqc1819		I41/amd	141	tetragonal	{12,4}	4	(2,3)
	sqc1820		I4122	98	tetragonal	{12,4}	4	(2,3)
	sqc98		P222	16	orthorhombic	{4,12}	2	(2,4)
	sqc1651		Imma	74	orthorhombic	{12,4}	4	(2,4)

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
	UQC850	*222222a	(2,4,3)	{12,4}	{4.3.6.6.3.4.4.3.6.6.3.4}{3.6.3.6}	sqc1	sqc1819	sqc1184
	UQC851	*222222b	(2,4,3)	{12,4}	{4.3.6.6.3.4.4.3.6.6.3.4}{3.6.3.6}	sqc21	sqc1820	sqc98
	UQC852	*222222a	(2,4,3)	{12,4}	{4.3.6.6.3.4.4.3.6.6.3.4}{3.6.3.6}	sqc1268	sqc1655	sqc1651
	UQC853	*222222a	(2,4,3)	{12,4}	{4.3.6.6.3.4.4.3.6.6.3.4}{3.6.3.6}	sqc1646	sqc1655	sqc776

Symmetry-lowered hyperbolic tilings

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