h-net: hqc1038

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,5,3)
Vertex degrees	{10,4}
2D vertex symbol	{4.4.3.4.4.4.4.3.4.4}{4.4.3.3}
Delaney-Dress Symbol	<1038.2:9:1 2 3 5 7 8 9,2 4 9 6 8,1 3 6 7 8 9:4 4 3,10 4>
Dual net	hqc1130

Derived s-nets

s-nets with faithful topology

19 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)
	sqc2525		Fmmm	69	orthorhombic	{10,4}	6	(2,5)
	sqc8395		I4122	98	tetragonal	{10,4}	12	(2,6)
	sqc8400		I4122	98	tetragonal	{10,4}	12	(2,6)
	sqc8413		I4122	98	tetragonal	{10,4}	12	(2,6)
	sqc8478		Fddd	70	orthorhombic	{10,4}	12	(2,6)
	sqc8481		Fddd	70	orthorhombic	{10,4}	12	(2,6)
	sqc8484		I4122	98	tetragonal	{10,4}	12	(2,6)
	sqc8485		Fddd	70	orthorhombic	{10,4}	12	(2,6)
	sqc8541		Fddd	70	orthorhombic	{10,4}	12	(2,6)
	sqc8583		Fddd	70	orthorhombic	{10,4}	12	(2,6)
	sqc8751		I4122	98	tetragonal	{10,4}	12	(2,6)
	sqc191		Pmmm	47	orthorhombic	{10,4}	3	(2,5)
	sqc2296		P42/mmc	131	tetragonal	{10,4}	6	(2,5)
	sqc2301		P4222	93	tetragonal	{10,4}	6	(2,5)
	sqc2351		P4222	93	tetragonal	{10,4}	6	(2,5)
	sqc2524		Cmma	67	orthorhombic	{4,10}	6	(2,5)
	sqc2526		P4222	93	tetragonal	{10,4}	6	(2,5)
	sqc2608		Cmma	67	orthorhombic	{4,10}	6	(2,5)
	sqc2617		P4222	93	tetragonal	{10,4}	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
	UQC1158	*22222a	(2,5,3)	{10,4}	{4.4.3.4.4.4.4.3.4.4}{4.4.3.3}	No s‑net	sqc8400	sqc2296
	UQC1159	*22222a	(2,5,3)	{10,4}	{4.4.3.4.4.4.4.3.4.4}{4.4.3.3}	sqc7028	sqc8395	sqc2301
	UQC1160	*22222b	(2,5,3)	{10,4}	{4.4.3.4.4.4.4.3.4.4}{4.4.3.3}	sqc109	sqc8541	sqc2608
	UQC1161	*22222a	(2,5,3)	{10,4}	{4.4.3.4.4.4.4.3.4.4}{4.4.3.3}	No s‑net	sqc8413	sqc2351
	UQC1162	*22222a	(2,5,3)	{10,4}	{4.4.3.4.4.4.4.3.4.4}{4.4.3.3}	sqc8280	sqc8484	sqc2526
	UQC1163	*22222b	(2,5,3)	{10,4}	{4.4.3.4.4.4.4.3.4.4}{4.4.3.3}	sqc2525	sqc8485	sqc109
	UQC1164	*22222b	(2,5,3)	{10,4}	{4.4.3.4.4.4.4.3.4.4}{4.4.3.3}	sqc2217	sqc8481	sqc109
	UQC1165	*22222b	(2,5,3)	{10,4}	{4.4.3.4.4.4.4.3.4.4}{4.4.3.3}	No s‑net	sqc8478	sqc191
	UQC1166	*22222b	(2,5,3)	{10,4}	{4.4.3.4.4.4.4.3.4.4}{4.4.3.3}	sqc109	sqc8583	sqc2524
	UQC1167	*22222a	(2,5,3)	{10,4}	{4.4.3.4.4.4.4.3.4.4}{4.4.3.3}	sqc7701	sqc8751	sqc2617

Symmetry-lowered hyperbolic tilings

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