h-net: hqc1912

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(2,6,5)
Vertex degrees	{9,6}
2D vertex symbol	{4.4.4.3.3.3.4.4.4}{3.3.3.3.3.3}
Delaney-Dress Symbol	<1912.2:12:1 2 3 4 5 6 7 9 11 12,2 4 6 8 9 10 12,1 3 5 7 10 11 12:4 4 4 3 3,9 6>
Dual net	hqc2024

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)
	sqc728		Pmmm	47	orthorhombic	{6,9}	3	(2,6)
	sqc743		Pmmm	47	orthorhombic	{9,6}	3	(2,6)
	sqc4802		C2/c	15	monoclinic	{6,9}	6	(2,7)
	sqc4807		I212121	24	orthorhombic	{6,9}	6	(2,7)
	sqc4911		C2/c	15	monoclinic	{6,9}	6	(2,7)
	sqc4979		C2/c	15	monoclinic	{6,9}	6	(2,7)
	sqc863		P222	16	orthorhombic	{9,6}	3	(2,6)

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
	UQC2494	*222222a	(2,6,5)	{9,6}	{4.4.4.3.3.3.4.4.4}{3.3.3.3.3.3}	sqc743	sqc4802	sqc4131
	UQC2495	*222222a	(2,6,5)	{9,6}	{4.4.4.3.3.3.4.4.4}{3.3.3.3.3.3}	sqc728	sqc4911	sqc552
	UQC2496	*222222b	(2,6,5)	{9,6}	{4.4.4.3.3.3.4.4.4}{3.3.3.3.3.3}	No s‑net	sqc4807	sqc863
	UQC2497	*222222a	(2,6,5)	{9,6}	{4.4.4.3.3.3.4.4.4}{3.3.3.3.3.3}	sqc4262	sqc4979	sqc396

Symmetry-lowered hyperbolic tilings

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