h-net: hqc1188

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(3,4,2)
Vertex degrees	{8,6,4}
2D vertex symbol	{6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{3.3.3.3}
Delaney-Dress Symbol	<1188.2:9:1 3 5 7 9,2 3 6 9 8,1 4 5 6 7 8 9:6 3,8 6 4>
Dual net	hqc1003

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)
	sqc241		Pmmm	47	orthorhombic	{4,6,8}	3	(3,4)
	sqc2760		Fmmm	69	orthorhombic	{8,4,6}	6	(3,4)
	sqc8624		P4/mmm	123	tetragonal	{8,6,4}	12	(3,4)
	sqc8433		I4122	98	tetragonal	{8,6,4}	12	(3,5)
	sqc8605		I4122	98	tetragonal	{8,6,4}	12	(3,5)
	sqc8618		I4122	98	tetragonal	{8,6,4}	12	(3,5)
	sqc8637		I4122	98	tetragonal	{8,6,4}	12	(3,5)
	sqc8644		Fddd	70	orthorhombic	{8,6,4}	12	(3,5)
	sqc8648		Fddd	70	orthorhombic	{8,6,4}	12	(3,5)
	sqc8649		Fddd	70	orthorhombic	{8,6,4}	12	(3,5)
	sqc8650		I4122	98	tetragonal	{8,6,4}	12	(3,5)
	sqc8850		Fddd	70	orthorhombic	{8,6,4}	12	(3,5)
	sqc8932		Fddd	70	orthorhombic	{8,6,4}	12	(3,5)
	sqc2393		P42/mmc	131	tetragonal	{8,4,6}	6	(3,4)
	sqc2397		P4222	93	tetragonal	{6,4,8}	6	(3,4)
	sqc2398		P4222	93	tetragonal	{8,4,6}	6	(3,4)
	sqc2575		P42/mmc	131	tetragonal	{4,6,8}	6	(3,4)
	sqc2756		Cmma	67	orthorhombic	{8,4,6}	6	(3,4)
	sqc2895		P42/mcm	132	tetragonal	{4,6,8}	6	(3,4)
	sqc2903		Cmma	67	orthorhombic	{6,4,8}	6	(3,4)

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
	UQC4084	*22222a	(3,4,2)	{8,6,4}	{6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{3...	No s‑net	sqc8433	sqc2397
	UQC4085	*22222a	(3,4,2)	{8,6,4}	{6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{3...	sqc8339	sqc8650	sqc2393
	UQC4086	*22222b	(3,4,2)	{8,6,4}	{6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{3...	sqc241	sqc8649	sqc2756
	UQC4087	*22222b	(3,4,2)	{8,6,4}	{6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{3...	sqc2760	sqc8648	sqc241
	UQC4088	*22222b	(3,4,2)	{8,6,4}	{6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{3...	sqc2268	sqc8644	sqc241
	UQC4089	*22222b	(3,4,2)	{8,6,4}	{6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{3...	No s‑net	sqc8932	sqc241
	UQC4090	*22222a	(3,4,2)	{8,6,4}	{6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{3...	sqc8624	sqc8618	sqc2895
	UQC4091	*22222b	(3,4,2)	{8,6,4}	{6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{3...	sqc241	sqc8850	sqc2903
	UQC4092	*22222a	(3,4,2)	{8,6,4}	{6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{3...	No s‑net	sqc8637	sqc2575
	UQC4093	*22222a	(3,4,2)	{8,6,4}	{6.3.3.6.6.3.3.6}{6.3.3.6.3.3}{3...	sqc8297	sqc8605	sqc2398

Symmetry-lowered hyperbolic tilings

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