h-net: hqc172

Topological data

Orbifold symbol	*2223
Transitivity (vertex, edge, ring)	(3,3,1)
Vertex degrees	{4,4,3}
2D vertex symbol	{5.5.5.5}{5.5.5.5}{5.5.5}
Vertex coordination sequence	[(4, 12, 24, 48, 96, 192, 380, 760, 1512, 3016), (4, 10, 22, 42, 88, 172, 348, 686, 1378, 2730), (3, 9, 18, 39, 75, 156, 303, 615, 1212, 2433)]
Delaney-Dress Symbol	<172.1:5:1 3 5,2 4 5,1 2 3 4 5:5,4 4 3>
Dual net	hqc107

Derived s-nets

s-nets with faithful topology

27 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)
	sqc7184		Fmmm	69	orthorhombic	{3,4,4,4,4,4}	16	(6,7)
	sqc7363		Fmmm	69	orthorhombic	{4,4,3,4,4,4}	16	(6,7)
	sqc7373		Fmmm	69	orthorhombic	{4,3,4,4,4,4}	16	(6,7)
	sqc7376		Fmmm	69	orthorhombic	{4,4,4,4,3,4}	16	(6,7)
	sqc12101		P4/mmm	123	tetragonal	{4,4,3,4,4,4}	32	(6,7)
	sqc12271		P4/mmm	123	tetragonal	{4,4,3,4,4,4}	32	(6,7)
	sqc12276		Pm-3m	221	cubic	{4,4,3}	32	(3,3)
	sqc12081		Fddd	70	orthorhombic	{4,4,3,4,4,4}	32	(6,8)
	sqc12082		Fddd	70	orthorhombic	{4,4,3,4,4,4}	32	(6,8)
	sqc12083		I4122	98	tetragonal	{4,4,3,4,4,4}	32	(6,8)
	sqc12084		I4122	98	tetragonal	{4,4,3,4,4,4}	32	(6,8)
	sqc12087		Fddd	70	orthorhombic	{4,4,3,4,4,4}	32	(6,8)
	sqc12100		I4122	98	tetragonal	{4,4,3,4,4,4}	32	(6,8)
	sqc12256		Fddd	70	orthorhombic	{4,4,3,4,4,4}	32	(6,8)
	sqc12257		Fddd	70	orthorhombic	{4,4,3,4,4,4}	32	(6,8)
	sqc12264		I4132	214	cubic	{4,4,3}	32	(3,3)
	sqc12278		I4122	98	tetragonal	{4,4,3,4,4,4}	32	(6,8)
	sqc7038		P4222	93	tetragonal	{3,4,4,4,4,4}	16	(6,7)
	sqc7039		P4222	93	tetragonal	{4,4,4,3,4,4}	16	(6,7)
	sqc7182		P4232	208	cubic	{3,4,4}	16	(3,3)
	sqc7183		P4222	93	tetragonal	{4,4,3,4,4,4}	16	(6,7)
	sqc7189		P4222	93	tetragonal	{4,3,4,4,4,4}	16	(6,7)
	sqc7196		Cmma	67	orthorhombic	{3,4,4,4,4,4}	16	(6,7)
	sqc7220		Cmma	67	orthorhombic	{4,3,4,4,4,4}	16	(6,7)
	sqc7364		Cmma	67	orthorhombic	{3,4,4,4,4,4}	16	(6,7)
	sqc7372		Cmma	67	orthorhombic	{4,3,4,4,4,4}	16	(6,7)
	sqc7382		Cmma	67	orthorhombic	{4,4,4,4,3,4}	16	(6,7)

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
	UQC71	*2223	(3,3,1)	{4,4,3}	{5.5.5.5}{5.5.5.5}{5.5.5}	sqc12276	sqc12264	sqc7182
	UQC5939	*22222a	(6,7,2)	{4,4,3,4,4,4}	{5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5....	sqc12101	sqc12100	sqc7189
	UQC5940	*22222b	(6,7,2)	{4,4,3,4,4,4}	{5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5....	sqc6988	sqc12087	sqc7382
	UQC5941	*22222a	(6,7,2)	{4,4,3,4,4,4}	{5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5....	sqc12271	sqc12278	sqc7183
	UQC5942	*22222b	(6,7,2)	{4,4,3,4,4,4}	{5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5....	sqc7373	sqc12257	sqc7364
	UQC5943	*22222b	(6,7,2)	{4,4,3,4,4,4}	{5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5....	sqc7184	sqc12082	sqc7372
	UQC5944	*22222b	(6,7,2)	{4,4,3,4,4,4}	{5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5....	sqc7376	sqc12081	sqc7196
	UQC5945	*22222b	(6,7,2)	{4,4,3,4,4,4}	{5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5....	sqc7363	sqc12256	sqc7220
	UQC5946	*22222a	(6,7,2)	{4,4,3,4,4,4}	{5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5....	sqc12044	sqc12084	sqc7038
	UQC5947	*22222a	(6,7,2)	{4,4,3,4,4,4}	{5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5....	sqc12043	sqc12083	sqc7039

Symmetry-lowered hyperbolic tilings

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