h-net: hqc10

Topological data

Orbifold symbol	*266
Transitivity (vertex, edge, ring)	(1,1,1)
Vertex degrees	{6}
2D vertex symbol	{6.6.6.6.6.6}
Vertex coordination sequence	[(6, 30, 144, 690, 3306, 15840, 75894)]
Delaney-Dress Symbol	<10.1:1:1,1,1:6,6>
Dual net	hqc10 (self dual)

Derived s-nets

s-nets with faithful topology

10 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)
	sqc780		P42/nnm	134	tetragonal	{6}	4	(1,2)
	sqc947	hxg	Pn-3m	224	cubic	{6}	4	(1,1)
	sqc1	pcu	Pm-3m	221	cubic	{6}	1	(1,1)
	sqc34	sxa	Cmma	67	orthorhombic	{6}	2	(1,3)
	sqc779		Ibca	73	orthorhombic	{6}	4	(1,3)
	sqc888		R-3m	166	rhombohedral	{6,6}	4	(2,2)
	sqc26	msw	P42/nnm	134	tetragonal	{6}	2	(1,2)
	sqc768		I41/amd	141	tetragonal	{6}	4	(1,2)
	sqc889	crs	Fd-3m	227	cubic	{6}	4	(1,1)
	sqc895	snw	I41/amd	141	tetragonal	{6}	4	(1,2)

s-nets with edge collapse

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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
	UQC5	*266	(1,1,1)	{6}	{6.6.6.6.6.6}	sqc947	sqc1	sqc889
	UQC6	*2626	(2,2,2)	{6,6}	{6.6.6.6.6.6}{6.6.6.6.6.6}	sqc889	sqc888	sqc947
	UQC267	*222222a	(2,3,2)	{6,6}	{6.6.6.6.6.6}{6.6.6.6.6.6}	sqc780	sqc779	sqc768
	UQC268	*222222a	(2,3,2)	{6,6}	{6.6.6.6.6.6}{6.6.6.6.6.6}	sqc5	sqc34	sqc895
	UQC269	*222222b	(2,3,2)	{6,6}	{6.6.6.6.6.6}{6.6.6.6.6.6}	sqc13	sqc34	sqc26

Symmetry-lowered hyperbolic tilings

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