h-net: hqc267

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,3,2)
Vertex degrees	{6,6}
2D vertex symbol	{3.6.3.3.6.3}{3.6.6.3.6.6}
Delaney-Dress Symbol	<267.2:6:1 3 5 6,2 3 4 6,1 4 5 6:3 6,6 6>
Dual net	hqc277

Derived s-nets

s-nets with faithful topology

20 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)
	sqc25		Pmmm	47	orthorhombic	{6,6}	2	(2,3)
	sqc916		Fmmm	69	orthorhombic	{6,6}	4	(2,3)
	sqc5132		P4/mmm	123	tetragonal	{6,6}	8	(2,3)
	sqc4882		I4122	98	tetragonal	{6,6}	8	(2,4)
	sqc4988		Fddd	70	orthorhombic	{6,6}	8	(2,4)
	sqc5012		I4122	98	tetragonal	{6,6}	8	(2,4)
	sqc5089		I4122	98	tetragonal	{6,6}	8	(2,4)
	sqc5131		I4122	98	tetragonal	{6,6}	8	(2,4)
	sqc5162		Fddd	70	orthorhombic	{6,6}	8	(2,4)
	sqc5165		Fddd	70	orthorhombic	{6,6}	8	(2,4)
	sqc5174		Fddd	70	orthorhombic	{6,6}	8	(2,4)
	sqc5176		I4122	98	tetragonal	{6,6}	8	(2,4)
	sqc5361		Fddd	70	orthorhombic	{6,6}	8	(2,4)
	sqc785		P4222	93	tetragonal	{6,6}	4	(2,3)
	sqc793		P42/mmc	131	tetragonal	{6,6}	4	(2,3)
	sqc795		P4222	93	tetragonal	{6,6}	4	(2,3)
	sqc879		P42/mmc	131	tetragonal	{6,6}	4	(2,3)
	sqc887		Cmma	67	orthorhombic	{6,6}	4	(2,3)
	sqc914		Cmma	67	orthorhombic	{6,6}	4	(2,3)
	sqc950		P42/mcm	132	tetragonal	{6,6}	4	(2,3)

s-nets with edge collapse

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Derived U-tilings

10 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC233	*22222a	(2,3,2)	{6,6}	{3.6.3.3.6.3}{3.6.6.3.6.6}	sqc4363	sqc5089	sqc795
	UQC234	*22222a	(2,3,2)	{6,6}	{3.6.3.3.6.3}{3.6.6.3.6.6}	No s‑net	sqc4882	sqc785
	UQC235	*22222a	(2,3,2)	{6,6}	{3.6.3.3.6.3}{3.6.6.3.6.6}	No s‑net	sqc5012	sqc879
	UQC236	*22222a	(2,3,2)	{6,6}	{3.6.3.3.6.3}{3.6.6.3.6.6}	sqc5132	sqc5131	sqc950
	UQC237	*22222b	(2,3,2)	{6,6}	{3.6.3.3.6.3}{3.6.6.3.6.6}	sqc25	sqc4988	sqc887
	UQC238	*22222b	(2,3,2)	{6,6}	{3.6.3.3.6.3}{3.6.6.3.6.6}	sqc916	sqc5165	sqc25
	UQC239	*22222b	(2,3,2)	{6,6}	{3.6.3.3.6.3}{3.6.6.3.6.6}	No s‑net	sqc5361	sqc25
	UQC240	*22222a	(2,3,2)	{6,6}	{3.6.3.3.6.3}{3.6.6.3.6.6}	sqc4607	sqc5176	sqc793
	UQC241	*22222b	(2,3,2)	{6,6}	{3.6.3.3.6.3}{3.6.6.3.6.6}	sqc694	sqc5162	sqc25
	UQC242	*22222b	(2,3,2)	{6,6}	{3.6.3.3.6.3}{3.6.6.3.6.6}	sqc25	sqc5174	sqc914

Symmetry-lowered hyperbolic tilings

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