h-net: hqc642

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,4,3)
Vertex degrees	{6,4}
2D vertex symbol	{4.3.6.6.3.4}{3.6.3.6}
Delaney-Dress Symbol	<642.2:8:1 2 3 5 7 8,2 4 5 8 7,1 3 6 7 8:4 3 6,6 4>
Dual net	hqc824

Derived s-nets

s-nets with faithful topology

26 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)
	sqc1730		P4/mmm	123	tetragonal	{6,4}	6	(2,3)
	sqc1881		Fmmm	69	orthorhombic	{4,6}	6	(2,4)
	sqc1883		Fmmm	69	orthorhombic	{4,6}	6	(2,4)
	sqc2110		Fmmm	69	orthorhombic	{6,4}	6	(2,4)
	sqc7435		P4/mmm	123	tetragonal	{6,4}	12	(2,4)
	sqc7958		P4/mmm	123	tetragonal	{6,4}	12	(2,4)
	sqc7434		I4122	98	tetragonal	{6,4}	12	(2,5)
	sqc7563		I4122	98	tetragonal	{6,4}	12	(2,5)
	sqc7600		I4122	98	tetragonal	{6,4}	12	(2,5)
	sqc7636		Fddd	70	orthorhombic	{6,4}	12	(2,5)
	sqc7638		Fddd	70	orthorhombic	{6,4}	12	(2,5)
	sqc7825		Fddd	70	orthorhombic	{6,4}	12	(2,5)
	sqc7826		Fddd	70	orthorhombic	{6,4}	12	(2,5)
	sqc7827		Fddd	70	orthorhombic	{6,4}	12	(2,5)
	sqc7829		I4122	98	tetragonal	{6,4}	12	(2,5)
	sqc7943		I4122	98	tetragonal	{6,4}	12	(2,5)
	sqc173		Fmmm	69	orthorhombic	{4,6}	3	(2,3)
	sqc1810		P4222	93	tetragonal	{6,4}	6	(2,4)
	sqc1882		Cmma	67	orthorhombic	{6,4}	6	(2,4)
	sqc1915		Cmma	67	orthorhombic	{6,4}	6	(2,4)
	sqc2101		P42/mcm	132	tetragonal	{4,6}	6	(2,4)
	sqc2103		P4222	93	tetragonal	{4,6}	6	(2,4)
	sqc2111		Cmma	67	orthorhombic	{6,4}	6	(2,4)
	sqc2112		Cmma	67	orthorhombic	{6,4}	6	(2,4)
	sqc2128		P4222	93	tetragonal	{4,6}	6	(2,4)
	sqc2129		P4222	93	tetragonal	{6,4}	6	(2,4)

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
	UQC840	*22222a	(2,4,3)	{6,4}	{4.3.6.6.3.4}{3.6.3.6}	sqc7435	sqc7434	sqc2101
	UQC841	*22222b	(2,4,3)	{6,4}	{4.3.6.6.3.4}{3.6.3.6}	sqc1417	sqc7636	sqc1915
	UQC842	*22222a	(2,4,3)	{6,4}	{4.3.6.6.3.4}{3.6.3.6}	sqc6697	sqc7563	sqc1810
	UQC843	*22222b	(2,4,3)	{6,4}	{4.3.6.6.3.4}{3.6.3.6}	sqc1881	sqc7827	sqc173
	UQC844	*22222b	(2,4,3)	{6,4}	{4.3.6.6.3.4}{3.6.3.6}	sqc1883	sqc7825	sqc2111
	UQC845	*22222a	(2,4,3)	{6,4}	{4.3.6.6.3.4}{3.6.3.6}	sqc7958	sqc7943	sqc2128
	UQC846	*22222b	(2,4,3)	{6,4}	{4.3.6.6.3.4}{3.6.3.6}	sqc2110	sqc7826	sqc1882
	UQC847	*22222a	(2,4,3)	{6,4}	{4.3.6.6.3.4}{3.6.3.6}	sqc1730	sqc7829	sqc2129
	UQC848	*22222b	(2,4,3)	{6,4}	{4.3.6.6.3.4}{3.6.3.6}	sqc2110	sqc7638	sqc2112
	UQC849	*22222a	(2,4,3)	{6,4}	{4.3.6.6.3.4}{3.6.3.6}	sqc6566	sqc7600	sqc2103

Symmetry-lowered hyperbolic tilings

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