h-net: hqc2230

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(5,6,2)
Vertex degrees	{4,4,6,4,4}
2D vertex symbol	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}{4.4.4.4}{4.4.4.4}
Delaney-Dress Symbol	<2230.2:13:1 3 5 7 9 11 13,2 4 5 8 13 10 12,1 2 3 6 7 8 9 10 11 12 13:5 4,4 4 6 4 4>
Dual net	hqc2151

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)
	sqc5756		Fmmm	69	orthorhombic	{4,4,4,6,4}	12	(5,6)
	sqc5758		Fmmm	69	orthorhombic	{4,4,4,4,6}	12	(5,6)
	sqc5906		Fmmm	69	orthorhombic	{4,4,6,4,4}	12	(5,6)
	sqc6013		Fmmm	69	orthorhombic	{4,4,4,6,4}	12	(5,6)
	sqc11338		P4/mmm	123	tetragonal	{4,4,6,4,4}	24	(5,6)
	sqc11508		P4/mmm	123	tetragonal	{4,4,6,4,4}	24	(5,6)
	sqc11509		P4/mmm	123	tetragonal	{4,4,6,4,4}	24	(5,6)
	sqc11393		I4122	98	tetragonal	{4,4,6,4,4}	24	(5,7)
	sqc11394		I4122	98	tetragonal	{4,4,6,4,4}	24	(5,7)
	sqc11398		I4122	98	tetragonal	{4,4,6,4,4}	24	(5,7)
	sqc11409		Fddd	70	orthorhombic	{4,4,6,4,4}	24	(5,7)
	sqc11412		Fddd	70	orthorhombic	{4,4,6,4,4}	24	(5,7)
	sqc11420		Fddd	70	orthorhombic	{4,4,6,4,4}	24	(5,7)
	sqc11510		Fddd	70	orthorhombic	{4,4,6,4,4}	24	(5,7)
	sqc11511		I4122	98	tetragonal	{4,4,6,4,4}	24	(5,7)
	sqc11512		Fddd	70	orthorhombic	{4,4,6,4,4}	24	(5,7)
	sqc11513		I4122	98	tetragonal	{4,4,6,4,4}	24	(5,7)
	sqc5757		Cmma	67	orthorhombic	{4,4,6,4,4}	12	(5,6)
	sqc5781		P4222	93	tetragonal	{4,6,4,4,4}	12	(5,6)
	sqc5907		Cmma	67	orthorhombic	{6,4,4,4,4}	12	(5,6)
	sqc5936		P4222	93	tetragonal	{4,4,4,4,6}	12	(5,6)
	sqc5947		Cmma	67	orthorhombic	{4,4,6,4,4}	12	(5,6)
	sqc5956		P4222	93	tetragonal	{4,6,4,4,4}	12	(5,6)
	sqc5980		P4222	93	tetragonal	{4,4,4,6,4}	12	(5,6)
	sqc6012		Cmma	67	orthorhombic	{4,4,4,4,6}	12	(5,6)
	sqc6014		P4222	93	tetragonal	{6,4,4,4,4}	12	(5,6)
	sqc6015		Cmma	67	orthorhombic	{4,6,4,4,4}	12	(5,6)

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
	UQC5611	*22222a	(5,6,2)	{4,4,6,4,4}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}{...	sqc11338	sqc11393	sqc5781
	UQC5612	*22222a	(5,6,2)	{4,4,6,4,4}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}{...	sqc11270	sqc11394	sqc5956
	UQC5613	*22222a	(5,6,2)	{4,4,6,4,4}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}{...	sqc11509	sqc11511	sqc5980
	UQC5614	*22222a	(5,6,2)	{4,4,6,4,4}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}{...	sqc11508	sqc11513	sqc6014
	UQC5615	*22222a	(5,6,2)	{4,4,6,4,4}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}{...	sqc11271	sqc11398	sqc5936
	UQC5616	*22222b	(5,6,2)	{4,4,6,4,4}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}{...	sqc5758	sqc11512	sqc6012
	UQC5617	*22222b	(5,6,2)	{4,4,6,4,4}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}{...	sqc5906	sqc11412	sqc5757
	UQC5618	*22222b	(5,6,2)	{4,4,6,4,4}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}{...	sqc6013	sqc11510	sqc5947
	UQC5619	*22222b	(5,6,2)	{4,4,6,4,4}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}{...	sqc5756	sqc11409	sqc5907
	UQC5620	*22222b	(5,6,2)	{4,4,6,4,4}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}{...	sqc5622	sqc11420	sqc6015

Symmetry-lowered hyperbolic tilings

show / hide