h-net: hqc1230

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(4,4,2)
Vertex degrees	{4,4,3,4}
2D vertex symbol	{7.7.7.7}{7.7.7.7}{7.4.7}{7.4.7.4}
Delaney-Dress Symbol	<1230.2:9:1 3 5 7 9,2 4 6 7 8 9,1 2 3 4 5 8 9:7 4,4 4 3 4>
Dual net	hqc921

Derived s-nets

s-nets with faithful topology

23 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)
	sqc2835		Fmmm	69	orthorhombic	{4,3,4,4}	10	(4,4)
	sqc3017		Fmmm	69	orthorhombic	{3,4,4,4}	10	(4,4)
	sqc9186		P4/mmm	123	tetragonal	{4,4,3,4}	20	(4,4)
	sqc8761		I4122	98	tetragonal	{4,4,3,4}	20	(4,5)
	sqc8762		Fddd	70	orthorhombic	{4,4,3,4}	20	(4,5)
	sqc8793		I4122	98	tetragonal	{4,4,3,4}	20	(4,5)
	sqc8803		Fddd	70	orthorhombic	{4,4,3,4}	20	(4,5)
	sqc8804		Fddd	70	orthorhombic	{4,4,3,4}	20	(4,5)
	sqc8812		I4122	98	tetragonal	{4,4,3,4}	20	(4,5)
	sqc9119		I4122	98	tetragonal	{4,4,3,4}	20	(4,5)
	sqc9162		Fddd	70	orthorhombic	{4,4,3,4}	20	(4,5)
	sqc9163		Fddd	70	orthorhombic	{4,4,3,4}	20	(4,5)
	sqc9188		I4122	98	tetragonal	{4,4,3,4}	20	(4,5)
	sqc285		Pmmm	47	orthorhombic	{4,4,3,4}	5	(4,4)
	sqc2298		P4222	93	tetragonal	{4,4,3,4}	10	(4,4)
	sqc2406		P4222	93	tetragonal	{4,3,4,4}	10	(4,4)
	sqc2507		Cmma	67	orthorhombic	{4,3,4,4}	10	(4,4)
	sqc2752		P4222	93	tetragonal	{4,3,4,4}	10	(4,4)
	sqc2890		Cmma	67	orthorhombic	{4,3,4,4}	10	(4,4)
	sqc3018		Cmma	67	orthorhombic	{4,3,4,4}	10	(4,4)
	sqc3045		P42/mmc	131	tetragonal	{4,3,4,4}	10	(4,4)
	sqc3046		P4222	93	tetragonal	{3,4,4,4}	10	(4,4)

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
	UQC4359	*22222a	(4,4,2)	{4,4,3,4}	{7.7.7.7}{7.7.7.7}{7.4.7}{7.4.7.4}	No s‑net	sqc9119	sqc2298
	UQC4360	*22222a	(4,4,2)	{4,4,3,4}	{7.7.7.7}{7.7.7.7}{7.4.7}{7.4.7.4}	sqc8369	sqc8761	sqc2406
	UQC4361	*22222b	(4,4,2)	{4,4,3,4}	{7.7.7.7}{7.7.7.7}{7.4.7}{7.4.7.4}	sqc2287	sqc8803	sqc2507
	UQC4362	*22222b	(4,4,2)	{4,4,3,4}	{7.7.7.7}{7.7.7.7}{7.4.7}{7.4.7.4}	sqc2835	sqc8804	sqc285
	UQC4363	*22222b	(4,4,2)	{4,4,3,4}	{7.7.7.7}{7.7.7.7}{7.4.7}{7.4.7.4}	sqc285	sqc9163	sqc3018
	UQC4364	*22222b	(4,4,2)	{4,4,3,4}	{7.7.7.7}{7.7.7.7}{7.4.7}{7.4.7.4}	No s‑net	sqc8762	sqc2890
	UQC4365	*22222b	(4,4,2)	{4,4,3,4}	{7.7.7.7}{7.7.7.7}{7.4.7}{7.4.7.4}	sqc3017	sqc9162	sqc285
	UQC4366	*22222a	(4,4,2)	{4,4,3,4}	{7.7.7.7}{7.7.7.7}{7.4.7}{7.4.7.4}	No s‑net	sqc8793	sqc2752
	UQC4367	*22222a	(4,4,2)	{4,4,3,4}	{7.7.7.7}{7.7.7.7}{7.4.7}{7.4.7.4}	sqc9186	sqc9188	sqc3045
	UQC4368	*22222a	(4,4,2)	{4,4,3,4}	{7.7.7.7}{7.7.7.7}{7.4.7}{7.4.7.4}	sqc8387	sqc8812	sqc3046

Symmetry-lowered hyperbolic tilings

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