h-net: hqc1231

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(4,4,2)
Vertex degrees	{4,4,6,4}
2D vertex symbol	{7.7.7.7}{7.7.7.7}{7.4.7.7.4.7}{7.4.7.4}
Delaney-Dress Symbol	<1231.2:9:1 3 5 7 9,2 4 6 7 8 9,1 2 3 4 5 8 9:7 4,4 4 6 4>
Dual net	hqc923

Derived s-nets

s-nets with faithful topology

10 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)
	sqc283		Pmmm	47	orthorhombic	{6,4,4,4}	4	(4,4)
	sqc310		Pmmm	47	orthorhombic	{4,4,6,4}	4	(4,4)
	sqc311		Pmmm	47	orthorhombic	{4,4,6,4}	4	(4,4)
	sqc2717		C2/c	15	monoclinic	{4,4,6,4}	8	(4,5)
	sqc2723		I212121	24	orthorhombic	{4,4,6,4}	8	(4,5)
	sqc2724		C2/c	15	monoclinic	{4,4,6,4}	8	(4,5)
	sqc2823		C2/c	15	monoclinic	{4,4,6,4}	8	(4,5)
	sqc2747		Imma	74	orthorhombic	{4,4,6,4}	8	(4,4)
	sqc2765		Imma	74	orthorhombic	{4,4,6,4}	8	(4,4)
	sqc2824		Imma	74	orthorhombic	{4,4,6,4}	8	(4,4)

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
	UQC4369	*222222a	(4,4,2)	{4,4,6,4}	{7.7.7.7}{7.7.7.7}{7.4.7.7.4.7}{...	sqc283	sqc2724	sqc2765
	UQC4370	*222222a	(4,4,2)	{4,4,6,4}	{7.7.7.7}{7.7.7.7}{7.4.7.7.4.7}{...	sqc311	sqc2717	sqc2747
	UQC4371	*222222a	(4,4,2)	{4,4,6,4}	{7.7.7.7}{7.7.7.7}{7.4.7.7.4.7}{...	sqc310	sqc2823	sqc2824
	UQC4372	*222222b	(4,4,2)	{4,4,6,4}	{7.7.7.7}{7.7.7.7}{7.4.7.7.4.7}{...	No s‑net	sqc2723	sqc310

Symmetry-lowered hyperbolic tilings

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