h-net: hqc1115

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(3,5,2)
Vertex degrees	{3,4,4}
2D vertex symbol	{6.6.6}{6.6.6.6}{6.6.6.6}
Delaney-Dress Symbol	<1115.2:9:1 3 5 6 8 9,2 7 4 6 9,1 4 5 6 7 8 9:6 6,3 4 4>
Dual net	hqc1049

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)
	sqc2853		Fmmm	69	orthorhombic	{4,3,4}	10	(3,5)
	sqc2941		Fmmm	69	orthorhombic	{4,4,3}	10	(3,5)
	sqc2942		Fmmm	69	orthorhombic	{4,4,3}	10	(3,5)
	sqc3036		Fmmm	69	orthorhombic	{3,4,4}	10	(3,5)
	sqc9156		P4/mmm	123	tetragonal	{3,4,4}	20	(3,5)
	sqc9158		P4/mmm	123	tetragonal	{3,4,4}	20	(3,5)
	sqc9218		P4/mmm	123	tetragonal	{3,4,4}	20	(3,5)
	sqc8789		Fddd	70	orthorhombic	{3,4,4}	20	(3,6)
	sqc8790		I4122	98	tetragonal	{3,4,4}	20	(3,6)
	sqc8794		I4122	98	tetragonal	{3,4,4}	20	(3,6)
	sqc8816		Fddd	70	orthorhombic	{3,4,4}	20	(3,6)
	sqc8817		Fddd	70	orthorhombic	{3,4,4}	20	(3,6)
	sqc9154		I4122	98	tetragonal	{3,4,4}	20	(3,6)
	sqc9159		I4122	98	tetragonal	{3,4,4}	20	(3,6)
	sqc9168		Fddd	70	orthorhombic	{3,4,4}	20	(3,6)
	sqc9169		Fddd	70	orthorhombic	{3,4,4}	20	(3,6)
	sqc9198		I4122	98	tetragonal	{3,4,4}	20	(3,6)
	sqc2497		P4222	93	tetragonal	{3,4,4}	10	(3,5)
	sqc2500		P4222	93	tetragonal	{4,3,4}	10	(3,5)
	sqc2511		P4222	93	tetragonal	{4,3,4}	10	(3,5)
	sqc2513		Cmma	67	orthorhombic	{4,4,3}	10	(3,5)
	sqc2866		Cmma	67	orthorhombic	{4,3,4}	10	(3,5)
	sqc2931		P4222	93	tetragonal	{4,4,3}	10	(3,5)
	sqc2933		Cmma	67	orthorhombic	{4,3,4}	10	(3,5)
	sqc2935		P4222	93	tetragonal	{3,4,4}	10	(3,5)
	sqc2940		Cmma	67	orthorhombic	{4,4,3}	10	(3,5)
	sqc3038		Cmma	67	orthorhombic	{4,3,4}	10	(3,5)

s-nets with edge collapse

show / hide

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
	UQC3945	*22222a	(3,5,2)	{3,4,4}	{6.6.6}{6.6.6.6}{6.6.6.6}	sqc9158	sqc9159	sqc2511
	UQC3946	*22222b	(3,5,2)	{3,4,4}	{6.6.6}{6.6.6.6}{6.6.6.6}	sqc2292	sqc8817	sqc2513
	UQC3947	*22222a	(3,5,2)	{3,4,4}	{6.6.6}{6.6.6.6}{6.6.6.6}	sqc8383	sqc8790	sqc2497
	UQC3948	*22222a	(3,5,2)	{3,4,4}	{6.6.6}{6.6.6.6}{6.6.6.6}	sqc9156	sqc9154	sqc2935
	UQC3949	*22222b	(3,5,2)	{3,4,4}	{6.6.6}{6.6.6.6}{6.6.6.6}	sqc2942	sqc8789	sqc2866
	UQC3950	*22222b	(3,5,2)	{3,4,4}	{6.6.6}{6.6.6.6}{6.6.6.6}	sqc3036	sqc9168	sqc2940
	UQC3951	*22222b	(3,5,2)	{3,4,4}	{6.6.6}{6.6.6.6}{6.6.6.6}	sqc2941	sqc9169	sqc3038
	UQC3952	*22222b	(3,5,2)	{3,4,4}	{6.6.6}{6.6.6.6}{6.6.6.6}	sqc2853	sqc8816	sqc2933
	UQC3953	*22222a	(3,5,2)	{3,4,4}	{6.6.6}{6.6.6.6}{6.6.6.6}	sqc9218	sqc9198	sqc2931
	UQC3954	*22222a	(3,5,2)	{3,4,4}	{6.6.6}{6.6.6.6}{6.6.6.6}	sqc8322	sqc8794	sqc2500

Symmetry-lowered hyperbolic tilings

show / hide