h-net: hqc1050

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,5,3)
Vertex degrees	{12,3}
2D vertex symbol	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3}
Delaney-Dress Symbol	<1050.2:9:1 2 3 5 7 8 9,2 4 9 8 7,1 3 6 7 8 9:4 4 3,12 3>
Dual net	hqc1118

Derived s-nets

s-nets with faithful topology

18 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)
	sqc8392		I4122	98	tetragonal	{12,3}	12	(2,6)
	sqc8394		I4122	98	tetragonal	{12,3}	12	(2,6)
	sqc8397		I4122	98	tetragonal	{12,3}	12	(2,6)
	sqc8408		I4122	98	tetragonal	{12,3}	12	(2,6)
	sqc8474		Fddd	70	orthorhombic	{12,3}	12	(2,6)
	sqc8475		Fddd	70	orthorhombic	{12,3}	12	(2,6)
	sqc8522		I4122	98	tetragonal	{12,3}	12	(2,6)
	sqc8523		Fddd	70	orthorhombic	{12,3}	12	(2,6)
	sqc8527		Fddd	70	orthorhombic	{12,3}	12	(2,6)
	sqc8567		Fddd	70	orthorhombic	{12,3}	12	(2,6)
	sqc190		Pmmm	47	orthorhombic	{12,3}	3	(2,5)
	sqc2295		P42/mmc	131	tetragonal	{12,3}	6	(2,5)
	sqc2300		P4222	93	tetragonal	{3,12}	6	(2,5)
	sqc2317		P4222	93	tetragonal	{3,12}	6	(2,5)
	sqc2520		P4222	93	tetragonal	{12,3}	6	(2,5)
	sqc2523		Cmma	67	orthorhombic	{12,3}	6	(2,5)
	sqc2529		P4222	93	tetragonal	{12,3}	6	(2,5)
	sqc2542		Cmma	67	orthorhombic	{12,3}	6	(2,5)

s-nets with edge collapse

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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
	UQC1225	*22222a	(2,5,3)	{12,3}	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3}	No s‑net	sqc8397	sqc2295
	UQC1226	*22222a	(2,5,3)	{12,3}	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3}	No s‑net	sqc8392	sqc2520
	UQC1227	*22222a	(2,5,3)	{12,3}	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3}	sqc1623	sqc8522	sqc2317
	UQC1228	*22222b	(2,5,3)	{12,3}	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3}	sqc102	sqc8523	sqc2523
	UQC1229	*22222b	(2,5,3)	{12,3}	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3}	No s‑net	sqc8475	sqc190
	UQC1230	*22222b	(2,5,3)	{12,3}	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3}	sqc2216	sqc8527	sqc102
	UQC1231	*22222b	(2,5,3)	{12,3}	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3}	sqc2249	sqc8567	sqc102
	UQC1232	*22222a	(2,5,3)	{12,3}	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3}	sqc7423	sqc8408	sqc2529
	UQC1233	*22222b	(2,5,3)	{12,3}	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3}	sqc102	sqc8474	sqc2542
	UQC1234	*22222a	(2,5,3)	{12,3}	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3}	sqc7027	sqc8394	sqc2300

Symmetry-lowered hyperbolic tilings

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