h-net: hqc1867

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(4,5,2)
Vertex degrees	{4,4,6,4}
2D vertex symbol	{10.10.10.10}{10.3.3.10}{10.3.3.10.3.3}{3.3.3.3}
Delaney-Dress Symbol	<1867.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:10 3,4 4 6 4>
Dual net	hqc1707

Derived s-nets

s-nets with faithful topology

21 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)
	sqc4518		Fmmm	69	orthorhombic	{4,4,6,4}	10	(4,5)
	sqc10514		P4/mmm	123	tetragonal	{4,4,6,4}	20	(4,5)
	sqc10357		I4122	98	tetragonal	{4,4,6,4}	20	(4,6)
	sqc10380		Fddd	70	orthorhombic	{4,4,6,4}	20	(4,6)
	sqc10381		Fddd	70	orthorhombic	{4,4,6,4}	20	(4,6)
	sqc10382		Fddd	70	orthorhombic	{4,4,6,4}	20	(4,6)
	sqc10383		I4122	98	tetragonal	{4,4,6,4}	20	(4,6)
	sqc10515		I4122	98	tetragonal	{4,4,6,4}	20	(4,6)
	sqc10516		Fddd	70	orthorhombic	{4,4,6,4}	20	(4,6)
	sqc10517		I4122	98	tetragonal	{4,4,6,4}	20	(4,6)
	sqc10518		Fddd	70	orthorhombic	{4,4,6,4}	20	(4,6)
	sqc10528		I4122	98	tetragonal	{4,4,6,4}	20	(4,6)
	sqc660		Pmmm	47	orthorhombic	{4,4,4,6}	5	(4,5)
	sqc4172		P4222	93	tetragonal	{4,6,4,4}	10	(4,5)
	sqc4174		P4222	93	tetragonal	{4,6,4,4}	10	(4,5)
	sqc4421		P42/mmc	131	tetragonal	{4,4,6,4}	10	(4,5)
	sqc4519		Cmma	67	orthorhombic	{4,4,6,4}	10	(4,5)
	sqc4606		Cmma	67	orthorhombic	{4,4,6,4}	10	(4,5)
	sqc4611		P42/mmc	131	tetragonal	{4,4,6,4}	10	(4,5)
	sqc4612		P42/mcm	132	tetragonal	{4,6,4,4}	10	(4,5)

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
	UQC5060	*22222a	(4,5,2)	{4,4,6,4}	{10.10.10.10}{10.3.3.10}{10.3.3....	No s‑net	sqc10517	sqc4174
	UQC5061	*22222a	(4,5,2)	{4,4,6,4}	{10.10.10.10}{10.3.3.10}{10.3.3....	sqc9956	sqc10357	sqc4172
	UQC5062	*22222b	(4,5,2)	{4,4,6,4}	{10.10.10.10}{10.3.3.10}{10.3.3....	sqc3974	sqc10381	sqc660
	UQC5063	*22222b	(4,5,2)	{4,4,6,4}	{10.10.10.10}{10.3.3.10}{10.3.3....	sqc660	sqc10516	sqc4606
	UQC5064	*22222b	(4,5,2)	{4,4,6,4}	{10.10.10.10}{10.3.3.10}{10.3.3....	sqc4518	sqc10380	sqc660
	UQC5065	*22222a	(4,5,2)	{4,4,6,4}	{10.10.10.10}{10.3.3.10}{10.3.3....	No s‑net	sqc10515	sqc4421
	UQC5066	*22222b	(4,5,2)	{4,4,6,4}	{10.10.10.10}{10.3.3.10}{10.3.3....	sqc660	sqc10382	sqc4519
	UQC5067	*22222b	(4,5,2)	{4,4,6,4}	{10.10.10.10}{10.3.3.10}{10.3.3....	No s‑net	sqc10518	sqc660
	UQC5068	*22222a	(4,5,2)	{4,4,6,4}	{10.10.10.10}{10.3.3.10}{10.3.3....	sqc10514	sqc10528	sqc4612
	UQC5069	*22222a	(4,5,2)	{4,4,6,4}	{10.10.10.10}{10.3.3.10}{10.3.3....	sqc10017	sqc10383	sqc4611

Symmetry-lowered hyperbolic tilings

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