h-net: hqc2022

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(5,6,2)
Vertex degrees	{6,3,4,4,4}
2D vertex symbol	{3.9.3.3.9.3}{3.9.9}{9.9.9.9}{9.9.9.9}{9.9.9.9}
Delaney-Dress Symbol	<2022.2:12:1 3 5 7 9 11 12,2 3 4 6 8 10 12,1 4 5 6 7 8 9 10 11 12:3 9,6 3 4 4 4>
Dual net	hqc1914

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)
	sqc806		Pmmm	47	orthorhombic	{3,4,4,6,4}	6	(5,6)
	sqc816		Pmmm	47	orthorhombic	{3,4,6,4,4}	6	(5,6)
	sqc818		Pmmm	47	orthorhombic	{3,4,6,4,4}	6	(5,6)
	sqc5218		C2/c	15	monoclinic	{6,3,4,4,4}	12	(5,7)
	sqc5233		I212121	24	orthorhombic	{6,3,4,4,4}	12	(5,7)
	sqc5363		C2/c	15	monoclinic	{6,3,4,4,4}	12	(5,7)
	sqc5555		C2/c	15	monoclinic	{6,3,4,4,4}	12	(5,7)
	sqc819		Pmmm	47	orthorhombic	{3,4,4,4,6}	6	(5,6)
	sqc5224		Imma	74	orthorhombic	{6,3,4,4,4}	12	(5,6)
	sqc5481		Imma	74	orthorhombic	{6,3,4,4,4}	12	(5,6)
	sqc5559		Imma	74	orthorhombic	{6,3,4,4,4}	12	(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
	UQC5332	*222222a	(5,6,2)	{6,3,4,4,4}	{3.9.3.3.9.3}{3.9.9}{9.9.9.9}{9....	sqc818	sqc5363	sqc5481
	UQC5333	*222222a	(5,6,2)	{6,3,4,4,4}	{3.9.3.3.9.3}{3.9.9}{9.9.9.9}{9....	sqc806	sqc5555	sqc5559
	UQC5334	*222222b	(5,6,2)	{6,3,4,4,4}	{3.9.3.3.9.3}{3.9.9}{9.9.9.9}{9....	No s‑net	sqc5233	sqc819
	UQC5335	*222222a	(5,6,2)	{6,3,4,4,4}	{3.9.3.3.9.3}{3.9.9}{9.9.9.9}{9....	sqc816	sqc5218	sqc5224

Symmetry-lowered hyperbolic tilings

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