h-net: hqc2024

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(5,6,2)
Vertex degrees	{3,3,4,4,4}
2D vertex symbol	{6.9.6}{6.9.9}{9.9.9.9}{9.9.9.9}{9.9.9.9}
Delaney-Dress Symbol	<2024.2:12:1 3 5 7 9 11 12,2 3 4 6 8 10 12,1 4 5 6 7 8 9 10 11 12:6 9,3 3 4 4 4>
Dual net	hqc1912

Derived s-nets

s-nets with faithful topology

11 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)
	sqc807		Pmmm	47	orthorhombic	{4,4,3,4,3}	7	(5,6)
	sqc817		Pmmm	47	orthorhombic	{3,4,3,4,4}	7	(5,6)
	sqc14551		Pmmm	47	orthorhombic	{3,4,3,4,4}	7	(5,6)
	sqc5220		C2/c	15	monoclinic	{3,3,4,4,4}	14	(5,7)
	sqc5234		I212121	24	orthorhombic	{3,3,4,4,4}	14	(5,7)
	sqc5489		C2/c	15	monoclinic	{3,3,4,4,4}	14	(5,7)
	sqc5556		C2/c	15	monoclinic	{3,3,4,4,4}	14	(5,7)
	sqc5226		Imma	74	orthorhombic	{3,3,4,4,4}	14	(5,6)
	sqc5483		Imma	74	orthorhombic	{3,3,4,4,4}	14	(5,6)
	sqc5560		Imma	74	orthorhombic	{3,3,4,4,4}	14	(5,6)
	sqc14571		Pmmm	47	orthorhombic	{3,3,4,4,4}	7	(5,6)

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
	UQC5340	*222222a	(5,6,2)	{3,3,4,4,4}	{6.9.6}{6.9.9}{9.9.9.9}{9.9.9.9}...	sqc14551	sqc5489	sqc5483
	UQC5341	*222222a	(5,6,2)	{3,3,4,4,4}	{6.9.6}{6.9.9}{9.9.9.9}{9.9.9.9}...	sqc807	sqc5556	sqc5560
	UQC5342	*222222a	(5,6,2)	{3,3,4,4,4}	{6.9.6}{6.9.9}{9.9.9.9}{9.9.9.9}...	sqc817	sqc5220	sqc5226
	UQC5343	*222222b	(5,6,2)	{3,3,4,4,4}	{6.9.6}{6.9.9}{9.9.9.9}{9.9.9.9}...	No s‑net	sqc5234	sqc14571

Symmetry-lowered hyperbolic tilings

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