h-net: hqc5

Topological data

Orbifold symbol	*246
Transitivity (vertex, edge, ring)	(1,1,1)
Vertex degrees	{6}
2D vertex symbol	{4.4.4.4.4.4}
Vertex coordination sequence	[(6, 24, 90, 336, 1254, 4680, 17466, 65184)]
Delaney-Dress Symbol	<5.1:1:1,1,1:4,6>
Dual net	hqc9

Derived s-nets

s-nets with faithful topology

37 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)
	sqc1	pcu	Pm-3m	221	cubic	{6}	1	(1,1)
	sqc838		Pmmm	47	orthorhombic	{6,6}	4	(2,7)
	sqc885		I4/mmm	139	tetragonal	{6}	4	(1,2)
	sqc921		Fmmm	69	orthorhombic	{6,6}	4	(2,3)
	sqc4867		P42/nnm	134	tetragonal	{6}	8	(1,4)
	sqc4872		Cmma	67	orthorhombic	{6,6}	8	(2,7)
	sqc5101		P42/nnm	134	tetragonal	{6}	8	(1,4)
	sqc5328		P42/nnm	134	tetragonal	{6}	8	(1,4)
	sqc4821		I4122	98	tetragonal	{6}	8	(1,4)
	sqc4822		C2/c	15	monoclinic	{6,6}	8	(2,7)
	sqc4862		Ibca	73	orthorhombic	{6}	8	(1,5)
	sqc4880		C2/c	15	monoclinic	{6,6}	8	(2,8)
	sqc4881		I4122	98	tetragonal	{6,6}	8	(2,4)
	sqc4986		Ibca	73	orthorhombic	{6}	8	(1,5)
	sqc4990		R-3c	167	rhombohedral	{6,6}	8	(2,3)
	sqc4991	bcs	Ia-3d	230	cubic	{6}	8	(1,1)
	sqc5041		I4122	98	tetragonal	{6}	8	(1,4)
	sqc5095		Fddd	70	orthorhombic	{6}	8	(1,4)
	sqc5133		I4122	98	tetragonal	{6,6}	8	(2,4)
	sqc5144		Fddd	70	orthorhombic	{6}	8	(1,4)
	sqc5146		Ibca	73	orthorhombic	{6}	8	(1,5)
	sqc5166		Fddd	70	orthorhombic	{6,6}	8	(2,4)
	sqc5173		Fddd	70	orthorhombic	{6,6}	8	(2,4)
	sqc5184		Ibca	73	orthorhombic	{6}	8	(1,5)
	sqc5323		I41/acd	142	tetragonal	{6}	8	(1,2)
	sqc24		Pmmm	47	orthorhombic	{6}	2	(1,4)
	sqc784		P4222	93	tetragonal	{6,6}	4	(2,3)
	sqc789		Cmma	67	orthorhombic	{6,6}	4	(2,3)
	sqc796		P4222	93	tetragonal	{6,6}	4	(2,3)
	sqc837		P4222	93	tetragonal	{6}	4	(1,4)
	sqc884		Pnnn	48	orthorhombic	{6}	4	(1,4)
	sqc900		P4222	93	tetragonal	{6}	4	(1,4)
	sqc911		Cmma	67	orthorhombic	{6}	4	(1,4)
	sqc947	hxg	Pn-3m	224	cubic	{6}	4	(1,1)
	sqc4865		I41/amd	141	tetragonal	{6}	8	(1,4)
	sqc4868		Imma	74	orthorhombic	{6,6}	8	(2,7)
	sqc5180		I41/amd	141	tetragonal	{6}	8	(1,4)

s-nets with edge collapse

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Derived U-tilings

17 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC1	*246	(1,1,1)	{6}	{4.4.4.4.4.4}	sqc1	sqc4991	sqc947
	UQC13	*2224	(1,2,2)	{6}	{4.4.4.4.4.4}	sqc885	sqc5323	sqc1
	UQC40	*22222a	(1,4,3)	{6}	{4.4.4.4.4.4}	sqc464	sqc4821	sqc837
	UQC41	*22222b	(1,4,3)	{6}	{4.4.4.4.4.4}	sqc492	sqc5144	sqc24
	UQC42	*22222a	(1,4,3)	{6}	{4.4.4.4.4.4}	sqc464	sqc5041	sqc900
	UQC43	*22222b	(1,4,3)	{6}	{4.4.4.4.4.4}	sqc1	sqc5095	sqc911
	UQC305	*22222a	(2,3,2)	{6,6}	{4.4.4.4.4.4}{4.4.4.4.4.4}	sqc686	sqc4881	sqc784
	UQC306	*22222a	(2,3,2)	{6,6}	{4.4.4.4.4.4}{4.4.4.4.4.4}	sqc4360	sqc5133	sqc796
	UQC307	*22222b	(2,3,2)	{6,6}	{4.4.4.4.4.4}{4.4.4.4.4.4}	sqc921	sqc5166	sqc1
	UQC308	*22222b	(2,3,2)	{6,6}	{4.4.4.4.4.4}{4.4.4.4.4.4}	sqc687	sqc5173	sqc789
	UQC2316	*222222a	(2,7,4)	{6,6}	{4.4.4.4.4.4}{4.4.4.4.4.4}	sqc4872	sqc4880	sqc4868
	UQC2367	*222222a	(2,7,4)	{6,6}	{4.4.4.4.4.4}{4.4.4.4.4.4}	sqc4867	sqc4862	sqc4865
	UQC2368	*222222b	(2,7,4)	{6,6}	{4.4.4.4.4.4}{4.4.4.4.4.4}	sqc12	sqc4986	sqc884
	UQC2369	*222222a	(2,7,4)	{6,6}	{4.4.4.4.4.4}{4.4.4.4.4.4}	sqc5328	sqc5184	sqc5180
	UQC2370	*222222a	(2,7,4)	{6,6}	{4.4.4.4.4.4}{4.4.4.4.4.4}	sqc5101	sqc5146	sqc1
	UQC2541	*222222a	(2,7,5)	{6,6}	{4.4.4.4.4.4}{4.4.4.4.4.4}	sqc838	sqc4822	sqc3254
	UQC2	*2626	(4,3,2)	{6,6,6,6}	{4.4.4.4.4.4}{4.4.4.4.4.4}{4.4.4...	sqc947	sqc4990	sqc1

Symmetry-lowered hyperbolic tilings

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