h-net: hqc985

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,5,3)
Vertex degrees	{12,3}
2D vertex symbol	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4}
Delaney-Dress Symbol	<985.2:9:1 2 3 5 7 8 9,2 4 5 8 9,1 3 6 7 8 9:4 3 4,12 3>
Dual net	hqc1105

Derived s-nets

s-nets with faithful topology

18 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)
	sqc8393		I4122	98	tetragonal	{3,12}	12	(2,6)
	sqc8396		I4122	98	tetragonal	{3,12}	12	(2,6)
	sqc8472		I4122	98	tetragonal	{3,12}	12	(2,6)
	sqc8473		I4122	98	tetragonal	{3,12}	12	(2,6)
	sqc8476		Fddd	70	orthorhombic	{3,12}	12	(2,6)
	sqc8477		Fddd	70	orthorhombic	{3,12}	12	(2,6)
	sqc8479		Fddd	70	orthorhombic	{3,12}	12	(2,6)
	sqc8480		I4122	98	tetragonal	{3,12}	12	(2,6)
	sqc8526		Fddd	70	orthorhombic	{3,12}	12	(2,6)
	sqc8542		Fddd	70	orthorhombic	{3,12}	12	(2,6)
	sqc2299		P4222	93	tetragonal	{3,12}	6	(2,5)
	sqc2305		P4222	93	tetragonal	{12,3}	6	(2,5)
	sqc2318		Cmma	67	orthorhombic	{12,3}	6	(2,5)
	sqc2521		P4222	93	tetragonal	{3,12}	6	(2,5)
	sqc2530		Cmma	67	orthorhombic	{3,12}	6	(2,5)
	sqc14539		Pmmm	47	orthorhombic	{12,3}	3	(2,5)
	sqc14593		P42/mmc	131	tetragonal	{3,12}	6	(2,5)
	sqc14594		P4222	93	tetragonal	{3,12}	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
	UQC1025	*22222a	(2,5,3)	{12,3}	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4}	No s‑net	sqc8396	sqc14593
	UQC1026	*22222a	(2,5,3)	{12,3}	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4}	sqc7023	sqc8393	sqc2299
	UQC1027	*22222b	(2,5,3)	{12,3}	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4}	No s‑net	sqc8476	sqc14539
	UQC1028	*22222b	(2,5,3)	{12,3}	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4}	sqc102	sqc8479	sqc2318
	UQC1029	*22222a	(2,5,3)	{12,3}	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4}	sqc1619	sqc8480	sqc2305
	UQC1030	*22222b	(2,5,3)	{12,3}	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4}	sqc2212	sqc8542	sqc102
	UQC1031	*22222b	(2,5,3)	{12,3}	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4}	sqc2215	sqc8526	sqc102
	UQC1032	*22222a	(2,5,3)	{12,3}	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4}	No s‑net	sqc8473	sqc14594
	UQC1033	*22222b	(2,5,3)	{12,3}	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4}	sqc102	sqc8477	sqc2530
	UQC1034	*22222a	(2,5,3)	{12,3}	{4.3.4.4.3.4.4.3.4.4.3.4}{3.4.4}	sqc7424	sqc8472	sqc2521

Symmetry-lowered hyperbolic tilings

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