h-net: hqc1851

Topological data

Orbifold symbol	*2244
Transitivity (vertex, edge, ring)	(4,5,2)
Vertex degrees	{4,16,3,8}
2D vertex symbol	{5.5.5.5}{5.3.3.5.5.3.3.5.5.3.3.5.5.3.3.5}{5.3.3}{3.3.3.3.3.3.3.3}
Delaney-Dress Symbol	<1851.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:5 3,4 16 3 8>
Dual net	hqc1725

Derived s-nets

s-nets with faithful topology

4 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)
	sqc10173		I41/a	88	tetragonal	{4,16,3,8}	16	(4,6)
	sqc10174		I-42d	122	tetragonal	{4,16,3,8}	16	(4,6)
	sqc4221		P-42m	111	tetragonal	{4,3,8,16}	8	(4,5)
	sqc10217		I41/amd	141	tetragonal	{4,16,3,8}	16	(4,5)

s-nets with edge collapse

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Derived U-tilings

2 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC5036	*2244b	(4,5,2)	{4,16,3,8}	{5.5.5.5}{5.3.3.5.5.3.3.5.5.3.3....	No s‑net	sqc10173	sqc10217
	UQC5037	*2244a	(4,5,2)	{4,16,3,8}	{5.5.5.5}{5.3.3.5.5.3.3.5.5.3.3....	sqc9946	sqc10174	sqc4221

Symmetry-lowered hyperbolic tilings

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