h-net: hqc645

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(2,4,3)
Vertex degrees	{12,4}
2D vertex symbol	{4.6.3.3.6.4.4.6.3.3.6.4}{6.3.6.3}
Delaney-Dress Symbol	<645.2:8:1 2 3 5 7 8,2 4 5 8 7,1 3 6 7 8:4 6 3,12 4>
Dual net	hqc834

Derived s-nets

s-nets with faithful topology

7 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)
	sqc80		Pmmm	47	orthorhombic	{12,4}	2	(2,4)
	sqc1599		I212121	24	orthorhombic	{12,4}	4	(2,5)
	sqc1602		C2/c	15	monoclinic	{12,4}	4	(2,5)
	sqc1611		C2/c	15	monoclinic	{12,4}	4	(2,5)
	sqc1652		C2/c	15	monoclinic	{12,4}	4	(2,5)
	sqc82		Pmmm	47	orthorhombic	{4,12}	2	(2,4)
	sqc96		Cmmm	65	orthorhombic	{4,12}	2	(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
	UQC864	*222222a	(2,4,3)	{12,4}	{4.6.3.3.6.4.4.6.3.3.6.4}{6.3.6.3}	sqc43	sqc1611	sqc1175
	UQC865	*222222b	(2,4,3)	{12,4}	{4.6.3.3.6.4.4.6.3.3.6.4}{6.3.6.3}	No s‑net	sqc1599	sqc82
	UQC866	*222222a	(2,4,3)	{12,4}	{4.6.3.3.6.4.4.6.3.3.6.4}{6.3.6.3}	sqc80	sqc1652	sqc776
	UQC867	*222222a	(2,4,3)	{12,4}	{4.6.3.3.6.4.4.6.3.3.6.4}{6.3.6.3}	sqc43	sqc1602	sqc96

Symmetry-lowered hyperbolic tilings

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