h-net: hqc1118

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(3,5,2)
Vertex degrees	{3,4,4}
2D vertex symbol	{12.3.12}{12.12.3.3}{12.12.12.12}
Delaney-Dress Symbol	<1118.2:9:1 3 5 6 8 9,2 7 4 6 9,1 4 5 6 7 8 9:12 3,3 4 4>
Dual net	hqc1050

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)
	sqc2854		Fmmm	69	orthorhombic	{4,4,3}	10	(3,5)
	sqc9147		P4/mmm	123	tetragonal	{3,4,4}	20	(3,5)
	sqc8786		Fddd	70	orthorhombic	{3,4,4}	20	(3,6)
	sqc8787		I4122	98	tetragonal	{3,4,4}	20	(3,6)
	sqc8813		I4122	98	tetragonal	{3,4,4}	20	(3,6)
	sqc8814		Fddd	70	orthorhombic	{3,4,4}	20	(3,6)
	sqc8815		Fddd	70	orthorhombic	{3,4,4}	20	(3,6)
	sqc9120		I4122	98	tetragonal	{3,4,4}	20	(3,6)
	sqc9134		Fddd	70	orthorhombic	{3,4,4}	20	(3,6)
	sqc9135		Fddd	70	orthorhombic	{3,4,4}	20	(3,6)
	sqc9136		I4122	98	tetragonal	{3,4,4}	20	(3,6)
	sqc9148		I4122	98	tetragonal	{3,4,4}	20	(3,6)
	sqc303		Pmmm	47	orthorhombic	{3,4,4}	5	(3,5)
	sqc2495		P42/mmc	131	tetragonal	{4,3,4}	10	(3,5)
	sqc2509		P4222	93	tetragonal	{4,3,4}	10	(3,5)
	sqc2510		P4222	93	tetragonal	{4,3,4}	10	(3,5)
	sqc2845		P42/mmc	131	tetragonal	{4,3,4}	10	(3,5)
	sqc2899		Cmma	67	orthorhombic	{3,4,4}	10	(3,5)
	sqc3012		P42/mcm	132	tetragonal	{3,4,4}	10	(3,5)
	sqc3013		Cmma	67	orthorhombic	{3,4,4}	10	(3,5)

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
	UQC3963	*22222a	(3,5,2)	{3,4,4}	{12.3.12}{12.12.3.3}{12.12.12.12}	No s‑net	sqc9120	sqc2510
	UQC3964	*22222a	(3,5,2)	{3,4,4}	{12.3.12}{12.12.3.3}{12.12.12.12}	No s‑net	sqc9136	sqc2845
	UQC3965	*22222b	(3,5,2)	{3,4,4}	{12.3.12}{12.12.3.3}{12.12.12.12}	sqc2282	sqc8815	sqc303
	UQC3966	*22222b	(3,5,2)	{3,4,4}	{12.3.12}{12.12.3.3}{12.12.12.12}	sqc303	sqc8786	sqc2899
	UQC3967	*22222a	(3,5,2)	{3,4,4}	{12.3.12}{12.12.3.3}{12.12.12.12}	sqc8361	sqc8787	sqc2495
	UQC3968	*22222b	(3,5,2)	{3,4,4}	{12.3.12}{12.12.3.3}{12.12.12.12}	sqc2854	sqc8814	sqc303
	UQC3969	*22222b	(3,5,2)	{3,4,4}	{12.3.12}{12.12.3.3}{12.12.12.12}	sqc303	sqc9134	sqc3013
	UQC3970	*22222a	(3,5,2)	{3,4,4}	{12.3.12}{12.12.3.3}{12.12.12.12}	sqc9147	sqc9148	sqc3012
	UQC3971	*22222b	(3,5,2)	{3,4,4}	{12.3.12}{12.12.3.3}{12.12.12.12}	No s‑net	sqc9135	sqc303
	UQC3972	*22222a	(3,5,2)	{3,4,4}	{12.3.12}{12.12.3.3}{12.12.12.12}	sqc8360	sqc8813	sqc2509

Symmetry-lowered hyperbolic tilings

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