h-net: hqc824

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(3,4,2)
Vertex degrees	{4,3,6}
2D vertex symbol	{6.6.6.6}{6.4.6}{6.6.4.6.6.4}
Delaney-Dress Symbol	<824.2:8:1 3 5 7 8,2 4 8 6 7,1 2 3 6 7 8:6 4,4 3 6>
Dual net	hqc642

Derived s-nets

s-nets with faithful topology

22 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)
	sqc130		Pmmm	47	orthorhombic	{3,4,6}	4	(3,4)
	sqc2011		Fmmm	69	orthorhombic	{3,6,4}	8	(3,4)
	sqc2083		Fmmm	69	orthorhombic	{3,6,4}	8	(3,4)
	sqc7972		P4/mmm	123	tetragonal	{4,3,6}	16	(3,4)
	sqc7452		I4122	98	tetragonal	{4,3,6}	16	(3,5)
	sqc7615		I4122	98	tetragonal	{4,3,6}	16	(3,5)
	sqc7645		I4122	98	tetragonal	{4,3,6}	16	(3,5)
	sqc7646		Fddd	70	orthorhombic	{4,3,6}	16	(3,5)
	sqc7666		Fddd	70	orthorhombic	{4,3,6}	16	(3,5)
	sqc7667		Fddd	70	orthorhombic	{4,3,6}	16	(3,5)
	sqc7668		I4122	98	tetragonal	{4,3,6}	16	(3,5)
	sqc7794		Fddd	70	orthorhombic	{4,3,6}	16	(3,5)
	sqc7897		Fddd	70	orthorhombic	{4,3,6}	16	(3,5)
	sqc7973		I4122	98	tetragonal	{4,3,6}	16	(3,5)
	sqc1691		P4222	93	tetragonal	{6,4,3}	8	(3,4)
	sqc1736		P4222	93	tetragonal	{3,6,4}	8	(3,4)
	sqc1737		P4222	93	tetragonal	{4,3,6}	8	(3,4)
	sqc1760		P4222	93	tetragonal	{3,6,4}	8	(3,4)
	sqc1947		P42/mmc	131	tetragonal	{4,3,6}	8	(3,4)
	sqc2085		Cmma	67	orthorhombic	{3,6,4}	8	(3,4)
	sqc2095		Cmma	67	orthorhombic	{3,6,4}	8	(3,4)
	sqc2120		Cmma	67	orthorhombic	{6,3,4}	8	(3,4)

s-nets with edge collapse

show / hide

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
	UQC3754	*22222a	(3,4,2)	{4,3,6}	{6.6.6.6}{6.4.6}{6.6.4.6.6.4}	sqc1569	sqc7645	sqc1691
	UQC3755	*22222a	(3,4,2)	{4,3,6}	{6.6.6.6}{6.4.6}{6.6.4.6.6.4}	sqc7031	sqc7452	sqc1737
	UQC3756	*22222a	(3,4,2)	{4,3,6}	{6.6.6.6}{6.4.6}{6.6.4.6.6.4}	sqc7972	sqc7973	sqc1947
	UQC3757	*22222a	(3,4,2)	{4,3,6}	{6.6.6.6}{6.4.6}{6.6.4.6.6.4}	sqc7324	sqc7668	sqc1736
	UQC3758	*22222a	(3,4,2)	{4,3,6}	{6.6.6.6}{6.4.6}{6.6.4.6.6.4}	sqc7105	sqc7615	sqc1760
	UQC3759	*22222b	(3,4,2)	{4,3,6}	{6.6.6.6}{6.4.6}{6.6.4.6.6.4}	sqc130	sqc7897	sqc2120
	UQC3760	*22222b	(3,4,2)	{4,3,6}	{6.6.6.6}{6.4.6}{6.6.4.6.6.4}	sqc2011	sqc7667	sqc130
	UQC3761	*22222b	(3,4,2)	{4,3,6}	{6.6.6.6}{6.4.6}{6.6.4.6.6.4}	sqc1555	sqc7646	sqc2095
	UQC3762	*22222b	(3,4,2)	{4,3,6}	{6.6.6.6}{6.4.6}{6.6.4.6.6.4}	sqc2083	sqc7794	sqc130
	UQC3763	*22222b	(3,4,2)	{4,3,6}	{6.6.6.6}{6.4.6}{6.6.4.6.6.4}	sqc1563	sqc7666	sqc2085

Symmetry-lowered hyperbolic tilings

show / hide