h-net: hqc795

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(3,4,2)
Vertex degrees	{6,3,4}
2D vertex symbol	{3.10.3.3.10.3}{3.10.10}{10.10.10.10}
Delaney-Dress Symbol	<795.2:8:1 3 5 7 8,2 3 4 6 8,1 4 5 6 7 8:3 10,6 3 4>
Dual net	hqc613

Derived s-nets

s-nets with faithful topology

20 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)
	sqc162		Pmmm	47	orthorhombic	{3,4,6}	4	(3,4)
	sqc2084		Fmmm	69	orthorhombic	{3,4,6}	8	(3,4)
	sqc7951		P4/mmm	123	tetragonal	{6,3,4}	16	(3,4)
	sqc7772		I4122	98	tetragonal	{6,3,4}	16	(3,5)
	sqc7793		Fddd	70	orthorhombic	{6,3,4}	16	(3,5)
	sqc7795		Fddd	70	orthorhombic	{6,3,4}	16	(3,5)
	sqc7796		Fddd	70	orthorhombic	{6,3,4}	16	(3,5)
	sqc7797		I4122	98	tetragonal	{6,3,4}	16	(3,5)
	sqc7887		Fddd	70	orthorhombic	{6,3,4}	16	(3,5)
	sqc7888		I4122	98	tetragonal	{6,3,4}	16	(3,5)
	sqc7889		I4122	98	tetragonal	{6,3,4}	16	(3,5)
	sqc7890		Fddd	70	orthorhombic	{6,3,4}	16	(3,5)
	sqc7952		I4122	98	tetragonal	{6,3,4}	16	(3,5)
	sqc1759		P4222	93	tetragonal	{3,6,4}	8	(3,4)
	sqc1762		P4222	93	tetragonal	{4,3,6}	8	(3,4)
	sqc2086		Cmma	67	orthorhombic	{3,4,6}	8	(3,4)
	sqc2091		P42/mmc	131	tetragonal	{3,4,6}	8	(3,4)
	sqc2135		P42/mmc	131	tetragonal	{3,4,6}	8	(3,4)
	sqc2136		P42/mcm	132	tetragonal	{3,4,6}	8	(3,4)
	sqc2143		Cmma	67	orthorhombic	{3,4,6}	8	(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
	UQC3633	*22222a	(3,4,2)	{6,3,4}	{3.10.3.3.10.3}{3.10.10}{10.10.1...	No s‑net	sqc7889	sqc1762
	UQC3634	*22222a	(3,4,2)	{6,3,4}	{3.10.3.3.10.3}{3.10.10}{10.10.1...	sqc7188	sqc7772	sqc1759
	UQC3635	*22222a	(3,4,2)	{6,3,4}	{3.10.3.3.10.3}{3.10.10}{10.10.1...	No s‑net	sqc7888	sqc2091
	UQC3636	*22222a	(3,4,2)	{6,3,4}	{3.10.3.3.10.3}{3.10.10}{10.10.1...	sqc7951	sqc7952	sqc2136
	UQC3637	*22222b	(3,4,2)	{6,3,4}	{3.10.3.3.10.3}{3.10.10}{10.10.1...	sqc162	sqc7887	sqc2143
	UQC3638	*22222b	(3,4,2)	{6,3,4}	{3.10.3.3.10.3}{3.10.10}{10.10.1...	sqc162	sqc7796	sqc2086
	UQC3639	*22222b	(3,4,2)	{6,3,4}	{3.10.3.3.10.3}{3.10.10}{10.10.1...	sqc2084	sqc7793	sqc162
	UQC3640	*22222b	(3,4,2)	{6,3,4}	{3.10.3.3.10.3}{3.10.10}{10.10.1...	No s‑net	sqc7890	sqc162
	UQC3641	*22222a	(3,4,2)	{6,3,4}	{3.10.3.3.10.3}{3.10.10}{10.10.1...	sqc7278	sqc7797	sqc2135
	UQC3642	*22222b	(3,4,2)	{6,3,4}	{3.10.3.3.10.3}{3.10.10}{10.10.1...	sqc1554	sqc7795	sqc162

Symmetry-lowered hyperbolic tilings

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