h-net: hqc1263

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,6,4)
Vertex degrees	{6,4}
2D vertex symbol	{4.4.4.4.4.4}{4.4.4.4}
Delaney-Dress Symbol	<1263.2:10:1 2 3 4 5 7 8 9 10,2 4 6 8 10,1 3 5 6 7 9 10:4 4 4 4,6 4>
Dual net	hqc1438

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)
	sqc374		Pmmm	47	orthorhombic	{6,4}	4	(2,6)
	sqc3471		Fmmm	69	orthorhombic	{6,4}	8	(2,6)
	sqc9459		P4/mmm	123	tetragonal	{4,6}	16	(2,6)
	sqc9535		Cmma	67	orthorhombic	{4,6}	16	(2,9)
	sqc9364		I4122	98	tetragonal	{4,6}	16	(2,6)
	sqc9365		I4122	98	tetragonal	{4,6}	16	(2,6)
	sqc9452		I4122	98	tetragonal	{4,6}	16	(2,6)
	sqc9458		I4122	98	tetragonal	{4,6}	16	(2,6)
	sqc9490		Fddd	70	orthorhombic	{4,6}	16	(2,6)
	sqc9530		I4122	98	tetragonal	{4,6}	16	(2,6)
	sqc9534		C2/c	15	monoclinic	{4,4,6,6}	16	(4,10)
	sqc9576		Fddd	70	orthorhombic	{4,6}	16	(2,6)
	sqc9583		Fddd	70	orthorhombic	{4,6}	16	(2,6)
	sqc9584		Fddd	70	orthorhombic	{4,6}	16	(2,6)
	sqc9639		Fddd	70	orthorhombic	{4,6}	16	(2,6)
	sqc404		Pmmm	47	orthorhombic	{4,6}	4	(2,6)
	sqc460		Pmmm	47	orthorhombic	{4,6}	4	(2,6)
	sqc3202		P4222	93	tetragonal	{4,6}	8	(2,6)
	sqc3209		P4222	93	tetragonal	{6,4}	8	(2,6)
	sqc3443		P4222	93	tetragonal	{4,6}	8	(2,6)
	sqc3452		P4222	93	tetragonal	{4,6}	8	(2,6)
	sqc3472		Cmma	67	orthorhombic	{4,6}	8	(2,6)
	sqc3531		Cmma	67	orthorhombic	{6,4}	8	(2,6)
	sqc3547		P4222	93	tetragonal	{4,6}	8	(2,6)
	sqc9670		Imma	74	orthorhombic	{4,6}	16	(2,9)

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
	UQC1589	*22222a	(2,6,4)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc7453	sqc9365	sqc3209
	UQC1590	*22222a	(2,6,4)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc2482	sqc9364	sqc3202
	UQC1591	*22222b	(2,6,4)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc2644	sqc9639	sqc460
	UQC1592	*22222b	(2,6,4)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc374	sqc9576	sqc3472
	UQC1593	*22222b	(2,6,4)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc3471	sqc9584	sqc374
	UQC1594	*22222a	(2,6,4)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc7845	sqc9452	sqc3443
	UQC1595	*22222b	(2,6,4)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc2015	sqc9490	sqc404
	UQC1596	*22222b	(2,6,4)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc374	sqc9583	sqc3531
	UQC1597	*22222a	(2,6,4)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc9459	sqc9458	sqc3547
	UQC1598	*22222a	(2,6,4)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc9096	sqc9530	sqc3452
	UQC3261	*222222a	(2,9,8)	{6,4}	{4.4.4.4.4.4}{4.4.4.4}	sqc9535	sqc9534	sqc9670

Symmetry-lowered hyperbolic tilings

show / hide