h-net: hqc1692

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(2,6,4)
Vertex degrees	{12,5}
2D vertex symbol	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4.4.4}
Delaney-Dress Symbol	<1692.2:11:1 2 3 5 7 8 9 10 11,2 4 5 8 9 11,1 3 6 7 8 10 11:4 3 4 4,12 5>
Dual net	hqc1780

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)
	sqc4159		Cmma	67	orthorhombic	{5,12}	6	(2,6)
	sqc4029		C2/c	15	monoclinic	{5,12}	6	(2,7)
	sqc4031		I212121	24	orthorhombic	{5,12}	6	(2,7)
	sqc4047		C2/c	15	monoclinic	{5,12}	6	(2,7)
	sqc4161		C2/c	15	monoclinic	{5,12}	6	(2,7)
	sqc534		P222	16	orthorhombic	{5,12}	3	(2,6)
	sqc4025		Imma	74	orthorhombic	{5,12}	6	(2,6)

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
	UQC2115	*222222a	(2,6,4)	{12,5}	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4....	No s‑net	sqc4029	sqc3287
	UQC2116	*222222a	(2,6,4)	{12,5}	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4....	sqc4159	sqc4161	sqc2418
	UQC2117	*222222b	(2,6,4)	{12,5}	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4....	sqc1689	sqc4031	sqc534
	UQC2118	*222222a	(2,6,4)	{12,5}	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4....	sqc3155	sqc4047	sqc4025

Symmetry-lowered hyperbolic tilings

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