h-net: hqc1282

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,5,4)
Vertex degrees	{8,4}
2D vertex symbol	{4.4.3.3.3.3.4.4}{3.3.3.3}
Delaney-Dress Symbol	<1282.2:10:1 2 3 4 5 7 9 10,2 4 6 7 10 9,1 3 5 8 9 10:4 4 3 3,8 4>
Dual net	hqc1494

Derived s-nets

s-nets with faithful topology

22 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)
	sqc3352		Fmmm	69	orthorhombic	{4,8}	6	(2,5)
	sqc9427		P4/mmm	123	tetragonal	{8,4}	12	(2,5)
	sqc9360		I4122	98	tetragonal	{8,4}	12	(2,6)
	sqc9370		I4122	98	tetragonal	{8,4}	12	(2,6)
	sqc9429		I4122	98	tetragonal	{8,4}	12	(2,6)
	sqc9446		I4122	98	tetragonal	{8,4}	12	(2,6)
	sqc9448		I4122	98	tetragonal	{8,4}	12	(2,6)
	sqc9484		Fddd	70	orthorhombic	{8,4}	12	(2,6)
	sqc9485		Fddd	70	orthorhombic	{8,4}	12	(2,6)
	sqc9502		Fddd	70	orthorhombic	{8,4}	12	(2,6)
	sqc9646		Fddd	70	orthorhombic	{8,4}	12	(2,6)
	sqc9647		Fddd	70	orthorhombic	{8,4}	12	(2,6)
	sqc360		Pmmm	47	orthorhombic	{4,8}	3	(2,5)
	sqc394		Pmmm	47	orthorhombic	{8,4}	3	(2,5)
	sqc408		Pmmm	47	orthorhombic	{8,4}	3	(2,5)
	sqc3165		P4222	93	tetragonal	{4,8}	6	(2,5)
	sqc3203		P4222	93	tetragonal	{8,4}	6	(2,5)
	sqc3393		P4222	93	tetragonal	{8,4}	6	(2,5)
	sqc3395		P4222	93	tetragonal	{8,4}	6	(2,5)
	sqc3463		Cmma	67	orthorhombic	{4,8}	6	(2,5)
	sqc3464		Cmma	67	orthorhombic	{8,4}	6	(2,5)
	sqc3725		P4222	93	tetragonal	{8,4}	6	(2,5)

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
	UQC1683	*22222a	(2,5,4)	{8,4}	{4.4.3.3.3.3.4.4}{3.3.3.3}	No s‑net	sqc9370	sqc3203
	UQC1684	*22222a	(2,5,4)	{8,4}	{4.4.3.3.3.3.4.4}{3.3.3.3}	sqc2409	sqc9360	sqc3165
	UQC1685	*22222b	(2,5,4)	{8,4}	{4.4.3.3.3.3.4.4}{3.3.3.3}	sqc2623	sqc9485	sqc394
	UQC1686	*22222b	(2,5,4)	{8,4}	{4.4.3.3.3.3.4.4}{3.3.3.3}	sqc3352	sqc9647	sqc360
	UQC1687	*22222b	(2,5,4)	{8,4}	{4.4.3.3.3.3.4.4}{3.3.3.3}	sqc360	sqc9484	sqc3464
	UQC1688	*22222a	(2,5,4)	{8,4}	{4.4.3.3.3.3.4.4}{3.3.3.3}	sqc9427	sqc9429	sqc3725
	UQC1689	*22222a	(2,5,4)	{8,4}	{4.4.3.3.3.3.4.4}{3.3.3.3}	sqc8866	sqc9448	sqc3395
	UQC1690	*22222a	(2,5,4)	{8,4}	{4.4.3.3.3.3.4.4}{3.3.3.3}	No s‑net	sqc9446	sqc3393
	UQC1691	*22222b	(2,5,4)	{8,4}	{4.4.3.3.3.3.4.4}{3.3.3.3}	No s‑net	sqc9502	sqc408
	UQC1692	*22222b	(2,5,4)	{8,4}	{4.4.3.3.3.3.4.4}{3.3.3.3}	sqc360	sqc9646	sqc3463

Symmetry-lowered hyperbolic tilings

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