h-net: hqc609

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,4,3)
Vertex degrees	{10,6}
2D vertex symbol	{4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3}
Delaney-Dress Symbol	<609.2:8:1 2 3 5 7 8,2 4 5 6 8,1 3 6 7 8:4 3 3,10 6>
Dual net	hqc806

Derived s-nets

s-nets with faithful topology

19 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)
	sqc1782		Fmmm	69	orthorhombic	{6,10}	4	(2,4)
	sqc7405		I4122	98	tetragonal	{6,10}	8	(2,5)
	sqc7411		I4122	98	tetragonal	{6,10}	8	(2,5)
	sqc7426		I4122	98	tetragonal	{6,10}	8	(2,5)
	sqc7471		Fddd	70	orthorhombic	{6,10}	8	(2,5)
	sqc7476		Fddd	70	orthorhombic	{6,10}	8	(2,5)
	sqc7483		Fddd	70	orthorhombic	{6,10}	8	(2,5)
	sqc7484		I4122	98	tetragonal	{6,10}	8	(2,5)
	sqc7514		Fddd	70	orthorhombic	{6,10}	8	(2,5)
	sqc7535		I4122	98	tetragonal	{6,10}	8	(2,5)
	sqc7584		Fddd	70	orthorhombic	{6,10}	8	(2,5)
	sqc77		Pmmm	47	orthorhombic	{10,6}	2	(2,4)
	sqc1578		P42/mmc	131	tetragonal	{6,10}	4	(2,4)
	sqc1586		P4222	93	tetragonal	{6,10}	4	(2,4)
	sqc1775		P4222	93	tetragonal	{10,6}	4	(2,4)
	sqc1781		Cmma	67	orthorhombic	{10,6}	4	(2,4)
	sqc1795		P4222	93	tetragonal	{6,10}	4	(2,4)
	sqc1861		Cmma	67	orthorhombic	{10,6}	4	(2,4)
	sqc1865		P4222	93	tetragonal	{10,6}	4	(2,4)

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
	UQC720	*22222a	(2,4,3)	{10,6}	{4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3}	No s‑net	sqc7411	sqc1578
	UQC721	*22222a	(2,4,3)	{10,6}	{4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3}	sqc5670	sqc7405	sqc1586
	UQC722	*22222a	(2,4,3)	{10,6}	{4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3}	No s‑net	sqc7426	sqc1795
	UQC723	*22222a	(2,4,3)	{10,6}	{4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3}	sqc7076	sqc7484	sqc1775
	UQC724	*22222a	(2,4,3)	{10,6}	{4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3}	sqc6507	sqc7535	sqc1865
	UQC725	*22222b	(2,4,3)	{10,6}	{4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3}	No s‑net	sqc7471	sqc77
	UQC726	*22222b	(2,4,3)	{10,6}	{4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3}	sqc1782	sqc7514	sqc45
	UQC727	*22222b	(2,4,3)	{10,6}	{4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3}	sqc1464	sqc7476	sqc45
	UQC728	*22222b	(2,4,3)	{10,6}	{4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3}	sqc45	sqc7483	sqc1781
	UQC729	*22222b	(2,4,3)	{10,6}	{4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3}	sqc45	sqc7584	sqc1861

Symmetry-lowered hyperbolic tilings

show / hide