h-net: hqc1105

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(3,5,2)
Vertex degrees	{4,3,4}
2D vertex symbol	{3.12.12.3}{3.12.12}{12.12.12.12}
Delaney-Dress Symbol	<1105.2:9:1 3 5 6 8 9,2 3 6 7 9,1 4 5 6 7 8 9:3 12,4 3 4>
Dual net	hqc985

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)
	sqc2876		Fmmm	69	orthorhombic	{3,4,4}	10	(3,5)
	sqc9128		P4/mmm	123	tetragonal	{4,3,4}	20	(3,5)
	sqc8824		Fddd	70	orthorhombic	{4,3,4}	20	(3,6)
	sqc8825		I4122	98	tetragonal	{4,3,4}	20	(3,6)
	sqc8826		I4122	98	tetragonal	{4,3,4}	20	(3,6)
	sqc8827		Fddd	70	orthorhombic	{4,3,4}	20	(3,6)
	sqc8828		Fddd	70	orthorhombic	{4,3,4}	20	(3,6)
	sqc9129		I4122	98	tetragonal	{4,3,4}	20	(3,6)
	sqc9130		I4122	98	tetragonal	{4,3,4}	20	(3,6)
	sqc9131		Fddd	70	orthorhombic	{4,3,4}	20	(3,6)
	sqc9132		I4122	98	tetragonal	{4,3,4}	20	(3,6)
	sqc9133		Fddd	70	orthorhombic	{4,3,4}	20	(3,6)
	sqc308		Pmmm	47	orthorhombic	{3,4,4}	5	(3,5)
	sqc2514		P42/mmc	131	tetragonal	{3,4,4}	10	(3,5)
	sqc2515		P4222	93	tetragonal	{3,4,4}	10	(3,5)
	sqc2516		P4222	93	tetragonal	{3,4,4}	10	(3,5)
	sqc2804		P42/mmc	131	tetragonal	{3,4,4}	10	(3,5)
	sqc2900		Cmma	67	orthorhombic	{3,4,4}	10	(3,5)
	sqc3014		Cmma	67	orthorhombic	{4,4,3}	10	(3,5)
	sqc3049		P42/mcm	132	tetragonal	{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
	UQC3879	*22222a	(3,5,2)	{4,3,4}	{3.12.12.3}{3.12.12}{12.12.12.12}	No s‑net	sqc9130	sqc2516
	UQC3880	*22222a	(3,5,2)	{4,3,4}	{3.12.12.3}{3.12.12}{12.12.12.12}	sqc8307	sqc8826	sqc2515
	UQC3881	*22222b	(3,5,2)	{4,3,4}	{3.12.12.3}{3.12.12}{12.12.12.12}	sqc2876	sqc8827	sqc308
	UQC3882	*22222b	(3,5,2)	{4,3,4}	{3.12.12.3}{3.12.12}{12.12.12.12}	sqc308	sqc9131	sqc3014
	UQC3883	*22222b	(3,5,2)	{4,3,4}	{3.12.12.3}{3.12.12}{12.12.12.12}	sqc2288	sqc8828	sqc308
	UQC3884	*22222a	(3,5,2)	{4,3,4}	{3.12.12.3}{3.12.12}{12.12.12.12}	No s‑net	sqc9132	sqc2804
	UQC3885	*22222b	(3,5,2)	{4,3,4}	{3.12.12.3}{3.12.12}{12.12.12.12}	No s‑net	sqc9133	sqc308
	UQC3886	*22222b	(3,5,2)	{4,3,4}	{3.12.12.3}{3.12.12}{12.12.12.12}	sqc308	sqc8824	sqc2900
	UQC3887	*22222a	(3,5,2)	{4,3,4}	{3.12.12.3}{3.12.12}{12.12.12.12}	sqc8366	sqc8825	sqc2514
	UQC3888	*22222a	(3,5,2)	{4,3,4}	{3.12.12.3}{3.12.12}{12.12.12.12}	sqc9128	sqc9129	sqc3049

Symmetry-lowered hyperbolic tilings

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