h-net: hqc95

Topological data

Orbifold symbol	*2224
Transitivity (vertex, edge, ring)	(2,3,1)
Vertex degrees	{4,8}
2D vertex symbol	{4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence	[(4, 16, 60, 224, 836, 3120, 11644, 43456), (8, 32, 120, 448, 1672, 6240, 23288, 86912)]
Delaney-Dress Symbol	<95.1:4:1 3 4,2 4,1 2 3 4:4,4 8>
Dual net	hqc61

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)
	sqc1635		Fmmm	69	orthorhombic	{4,8,4}	6	(3,5)
	sqc1871		I4/mmm	139	tetragonal	{8,4}	6	(2,3)
	sqc1872		Fmmm	69	orthorhombic	{4,8}	6	(2,5)
	sqc7440		P4/mmm	123	tetragonal	{4,8}	12	(2,5)
	sqc7544		P42/nnm	134	tetragonal	{4,8,4}	12	(3,4)
	sqc7415		I4122	98	tetragonal	{4,8,4}	12	(3,5)
	sqc7441		I4122	98	tetragonal	{4,8}	12	(2,6)
	sqc7491		I41/acd	142	tetragonal	{4,8}	12	(2,3)
	sqc7492		I41/acd	142	tetragonal	{4,8}	12	(2,3)
	sqc7493		Fddd	70	orthorhombic	{4,8,4}	12	(3,5)
	sqc7552		Fddd	70	orthorhombic	{4,8,4}	12	(3,5)
	sqc7725		I4122	98	tetragonal	{4,8}	12	(2,6)
	sqc7726		I4122	98	tetragonal	{4,8,4}	12	(3,5)
	sqc7813		Ibca	73	orthorhombic	{4,8,4}	12	(3,5)
	sqc7817		Fddd	70	orthorhombic	{4,8}	12	(2,6)
	sqc7865		Fddd	70	orthorhombic	{4,8}	12	(2,6)
	sqc1582		P4222	93	tetragonal	{4,8,4}	6	(3,5)
	sqc1634		P42/nnm	134	tetragonal	{4,8}	6	(2,3)
	sqc1681		P4222	93	tetragonal	{4,8}	6	(2,5)
	sqc1722		Cmma	67	orthorhombic	{8,4}	6	(2,5)
	sqc1726		P4222	93	tetragonal	{4,8}	6	(2,5)
	sqc1840		P42/nnm	134	tetragonal	{4,8}	6	(2,3)
	sqc1860		P4222	93	tetragonal	{4,4,8}	6	(3,5)
	sqc1869		Cmma	67	orthorhombic	{8,4}	6	(2,5)
	sqc1907		Cmma	67	orthorhombic	{4,8,4}	6	(3,5)
	sqc7858		I41/amd	141	tetragonal	{4,8,4}	12	(3,4)

s-nets with edge collapse

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Derived U-tilings

11 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC61	*2224	(2,3,1)	{4,8}	{4.4.4.4}{4.4.4.4.4.4.4.4}	sqc1871	sqc7492	sqc1840
	UQC62	*2224	(2,3,1)	{4,8}	{4.4.4.4}{4.4.4.4.4.4.4.4}	sqc61	sqc7491	sqc1634
	UQC416	*22222a	(2,5,2)	{4,8}	{4.4.4.4}{4.4.4.4.4.4.4.4}	sqc7440	sqc7441	sqc1726
	UQC417	*22222a	(2,5,2)	{4,8}	{4.4.4.4}{4.4.4.4.4.4.4.4}	sqc7176	sqc7725	sqc1681
	UQC418	*22222b	(2,5,2)	{4,8}	{4.4.4.4}{4.4.4.4.4.4.4.4}	sqc1515	sqc7817	sqc1722
	UQC419	*22222b	(2,5,2)	{4,8}	{4.4.4.4}{4.4.4.4.4.4.4.4}	sqc1872	sqc7865	sqc1869
	UQC3531	*22222a	(3,5,2)	{4,8,4}	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4}	sqc5689	sqc7415	sqc1582
	UQC3532	*22222a	(3,5,2)	{4,8,4}	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4}	sqc5899	sqc7726	sqc1860
	UQC3533	*22222b	(3,5,2)	{4,8,4}	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4}	sqc1116	sqc7552	sqc1907
	UQC3534	*22222b	(3,5,2)	{4,8,4}	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4}	sqc1635	sqc7493	sqc61
	UQC6055	*222222a	(6,7,2)	{4,8,4,8,4,4}	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4...	sqc7544	sqc7813	sqc7858

Symmetry-lowered hyperbolic tilings

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