h-net: hqc56

Topological data

Orbifold symbol	*248
Transitivity (vertex, edge, ring)	(1,2,3)
Vertex degrees	{4}
2D vertex symbol	{4.4.8.4}
Vertex coordination sequence	[(4, 9, 18, 35, 66, 124, 234, 441, 830, 1563)]
Delaney-Dress Symbol	<56.1:4:1 2 3 4,1 3 4,2 4:4 4 8,4>
Dual net	hqc99

Derived s-nets

s-nets with faithful topology

15 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)
	sqc8092		P4/mmm	123	tetragonal	{4,4}	16	(2,6)
	sqc8105		Fmmm	69	orthorhombic	{4,4}	16	(2,7)
	sqc8112		Fmmm	69	orthorhombic	{4,4}	16	(2,7)
	sqc8137	mer	I4/mmm	139	tetragonal	{4}	16	(1,4)
	sqc12445	bcf	P4/mmm	123	tetragonal	{4,4}	32	(2,7)
	sqc12345		I4122	98	tetragonal	{4,4,4,4}	32	(4,8)
	sqc12448		Fddd	70	orthorhombic	{4,4,4,4}	32	(4,8)
	sqc12451		Fddd	70	orthorhombic	{4,4,4,4}	32	(4,8)
	sqc12454		I4122	98	tetragonal	{4,4,4,4}	32	(4,8)
	sqc12459		I41/acd	142	tetragonal	{4,4}	32	(2,4)
	sqc7741		P4222	93	tetragonal	{4,4}	16	(2,7)
	sqc8063		P4222	93	tetragonal	{4,4}	16	(2,7)
	sqc8064		Cmma	67	orthorhombic	{4,4}	16	(2,7)
	sqc8111	umh	P42/nnm	134	tetragonal	{4}	16	(1,4)
	sqc8114		Cmma	67	orthorhombic	{4,4}	16	(2,7)

s-nets with edge collapse

No items to display.

Derived U-tilings

5 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC47	*2224	(1,4,4)	{4}	{4.8.4.4}	sqc8137	sqc12459	sqc8111
	UQC3211	*22222a	(2,7,6)	{4,4}	{4.8.4.4}{4.4.4.8}	sqc8092	sqc12345	sqc7741
	UQC3212	*22222b	(2,7,6)	{4,4}	{4.8.4.4}{4.4.4.8}	sqc8105	sqc12448	sqc8064
	UQC3213	*22222b	(2,7,6)	{4,4}	{4.8.4.4}{4.4.4.8}	sqc8112	sqc12451	sqc8114
	UQC3214	*22222a	(2,7,6)	{4,4}	{4.8.4.4}{4.4.4.8}	sqc12445	sqc12454	sqc8063

Symmetry-lowered hyperbolic tilings

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