h-net: hqc573

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,5,3)
Vertex degrees	{6,4}
2D vertex symbol	{4.4.4.4.4.4}{4.4.4.4}
Delaney-Dress Symbol	<573.2:8:1 2 3 4 5 7 8,2 4 6 8,1 3 5 6 7 8:4 4 4,6 4>
Dual net	hqc666

Derived s-nets

s-nets with faithful topology

25 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)
	sqc1928		Fmmm	69	orthorhombic	{6,4}	6	(2,5)
	sqc7579		P4/mmm	123	tetragonal	{4,6}	12	(2,5)
	sqc7658		Cmma	67	orthorhombic	{4,6}	12	(2,8)
	sqc7427		I4122	98	tetragonal	{4,6}	12	(2,5)
	sqc7428		I4122	98	tetragonal	{4,6}	12	(2,5)
	sqc7566		I4122	98	tetragonal	{4,6}	12	(2,5)
	sqc7578		I4122	98	tetragonal	{4,6}	12	(2,5)
	sqc7589		Fddd	70	orthorhombic	{4,6}	12	(2,5)
	sqc7621		Fddd	70	orthorhombic	{4,6}	12	(2,5)
	sqc7654		I4122	98	tetragonal	{4,6}	12	(2,5)
	sqc7661		C2/c	15	monoclinic	{4,6,6}	12	(3,9)
	sqc7736		Fddd	70	orthorhombic	{4,6}	12	(2,5)
	sqc7737		Fddd	70	orthorhombic	{4,6}	12	(2,5)
	sqc7812		Fddd	70	orthorhombic	{4,6}	12	(2,5)
	sqc112		Pmmm	47	orthorhombic	{4,6}	3	(2,5)
	sqc122		Pmmm	47	orthorhombic	{4,6}	3	(2,5)
	sqc151		Pmmm	47	orthorhombic	{6,4}	3	(2,5)
	sqc1717		P4222	93	tetragonal	{6,4}	6	(2,5)
	sqc1720		P4222	93	tetragonal	{4,6}	6	(2,5)
	sqc1908		P4222	93	tetragonal	{4,6}	6	(2,5)
	sqc1916		P4222	93	tetragonal	{4,6}	6	(2,5)
	sqc1929		Cmma	67	orthorhombic	{4,6}	6	(2,5)
	sqc1982		Cmma	67	orthorhombic	{6,4}	6	(2,5)
	sqc1991		P4222	93	tetragonal	{4,6}	6	(2,5)
	sqc7835		Imma	74	orthorhombic	{4,6}	12	(2,8)

s-nets with edge collapse

show / hide

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
	UQC677	*22222a	(2,5,3)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc5696	sqc7428	sqc1720
	UQC678	*22222a	(2,5,3)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc1253	sqc7427	sqc1717
	UQC679	*22222a	(2,5,3)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc7579	sqc7578	sqc1991
	UQC680	*22222a	(2,5,3)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc6829	sqc7654	sqc1916
	UQC681	*22222b	(2,5,3)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc1309	sqc7812	sqc151
	UQC682	*22222b	(2,5,3)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc1928	sqc7737	sqc112
	UQC683	*22222b	(2,5,3)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc112	sqc7589	sqc1929
	UQC684	*22222a	(2,5,3)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc5941	sqc7566	sqc1908
	UQC685	*22222b	(2,5,3)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc1110	sqc7621	sqc122
	UQC686	*22222b	(2,5,3)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc112	sqc7736	sqc1982
	UQC3171	*222222a	(2,8,6)	{4,6}	{4.4.4.4.4.4}{4.4.4.4}	sqc7658	sqc7661	sqc7835

Symmetry-lowered hyperbolic tilings

show / hide