h-net: hqc2032

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(5,6,2)
Vertex degrees	{4,4,4,3,3}
2D vertex symbol	{10.10.10.10}{10.10.10.10}{10.10.10.10}{10.4.10}{10.10.4}
Delaney-Dress Symbol	<2032.2:12:1 3 5 7 9 11 12,2 4 6 8 12 10 11,1 2 3 4 5 6 7 10 11 12:10 4,4 4 4 3 3>
Dual net	hqc1916

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)
	sqc808		Pmmm	47	orthorhombic	{3,3,4,4,4}	7	(5,6)
	sqc821		Pmmm	47	orthorhombic	{3,4,3,4,4}	7	(5,6)
	sqc822		Pmmm	47	orthorhombic	{4,4,4,3,3}	7	(5,6)
	sqc5219		C2/c	15	monoclinic	{4,4,4,3,3}	14	(5,7)
	sqc5235		I212121	24	orthorhombic	{4,4,4,3,3}	14	(5,7)
	sqc5488		C2/c	15	monoclinic	{4,4,4,3,3}	14	(5,7)
	sqc5548		C2/c	15	monoclinic	{4,4,4,3,3}	14	(5,7)
	sqc820		Pmmm	47	orthorhombic	{4,4,3,3,4}	7	(5,6)
	sqc5225		Imma	74	orthorhombic	{4,4,4,3,3}	14	(5,6)
	sqc5482		Imma	74	orthorhombic	{4,4,4,3,3}	14	(5,6)
	sqc5551		Imma	74	orthorhombic	{4,4,4,3,3}	14	(5,6)

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
	UQC5378	*222222a	(5,6,2)	{4,4,4,3,3}	{10.10.10.10}{10.10.10.10}{10.10...	sqc821	sqc5488	sqc5482
	UQC5379	*222222a	(5,6,2)	{4,4,4,3,3}	{10.10.10.10}{10.10.10.10}{10.10...	sqc808	sqc5548	sqc5551
	UQC5380	*222222a	(5,6,2)	{4,4,4,3,3}	{10.10.10.10}{10.10.10.10}{10.10...	sqc822	sqc5219	sqc5225
	UQC5381	*222222b	(5,6,2)	{4,4,4,3,3}	{10.10.10.10}{10.10.10.10}{10.10...	No s‑net	sqc5235	sqc820

Symmetry-lowered hyperbolic tilings

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