h-net: hqc619

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(2,4,3)
Vertex degrees	{10,6}
2D vertex symbol	{4.6.3.6.4.4.6.3.6.4}{6.3.3.6.3.3}
Delaney-Dress Symbol	<619.2:8:1 2 3 5 7 8,2 4 5 6 8,1 3 6 7 8:4 6 3,10 6>
Dual net	hqc807

Derived s-nets

s-nets with faithful topology

7 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)
	sqc86		Pmmm	47	orthorhombic	{10,6}	2	(2,4)
	sqc1600		C2/c	15	monoclinic	{6,10}	4	(2,5)
	sqc1780		C2/c	15	monoclinic	{6,10}	4	(2,5)
	sqc1791		I212121	24	orthorhombic	{6,10}	4	(2,5)
	sqc1798		C2/c	15	monoclinic	{6,10}	4	(2,5)
	sqc84		Pmmm	47	orthorhombic	{6,10}	2	(2,4)
	sqc113		Cmmm	65	orthorhombic	{6,10}	2	(2,4)

s-nets with edge collapse

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Derived U-tilings

4 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC780	*222222a	(2,4,3)	{10,6}	{4.6.3.6.4.4.6.3.6.4}{6.3.3.6.3.3}	sqc45	sqc1600	sqc1199
	UQC781	*222222b	(2,4,3)	{10,6}	{4.6.3.6.4.4.6.3.6.4}{6.3.3.6.3.3}	No s‑net	sqc1791	sqc84
	UQC782	*222222a	(2,4,3)	{10,6}	{4.6.3.6.4.4.6.3.6.4}{6.3.3.6.3.3}	sqc86	sqc1780	sqc1186
	UQC783	*222222a	(2,4,3)	{10,6}	{4.6.3.6.4.4.6.3.6.4}{6.3.3.6.3.3}	sqc45	sqc1798	sqc113

Symmetry-lowered hyperbolic tilings

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