h-net: hqc1342

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,5,4)
Vertex degrees	{5,10}
2D vertex symbol	{4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3}
Delaney-Dress Symbol	<1342.2:10:1 2 3 5 7 8 9 10,2 4 5 6 8 10,1 3 6 7 9 10:4 3 3 4,5 10>
Dual net	hqc1490

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)
	sqc3285		Fmmm	69	orthorhombic	{5,10}	6	(2,5)
	sqc9356		I4122	98	tetragonal	{5,10}	12	(2,6)
	sqc9357		I4122	98	tetragonal	{5,10}	12	(2,6)
	sqc9390		I4122	98	tetragonal	{5,10}	12	(2,6)
	sqc9391		Fddd	70	orthorhombic	{5,10}	12	(2,6)
	sqc9392		Fddd	70	orthorhombic	{5,10}	12	(2,6)
	sqc9393		I4122	98	tetragonal	{5,10}	12	(2,6)
	sqc9394		Fddd	70	orthorhombic	{5,10}	12	(2,6)
	sqc9424		Fddd	70	orthorhombic	{5,10}	12	(2,6)
	sqc9425		Fddd	70	orthorhombic	{5,10}	12	(2,6)
	sqc9445		I4122	98	tetragonal	{5,10}	12	(2,6)
	sqc3100		P4222	93	tetragonal	{5,10}	6	(2,5)
	sqc3138		P4222	93	tetragonal	{5,10}	6	(2,5)
	sqc3286		Cmma	67	orthorhombic	{5,10}	6	(2,5)
	sqc3296		P4222	93	tetragonal	{5,10}	6	(2,5)
	sqc3377		Cmma	67	orthorhombic	{5,10}	6	(2,5)
	sqc14605		P42/mmc	131	tetragonal	{5,10}	6	(2,5)
	sqc14606		P4222	93	tetragonal	{5,10}	6	(2,5)
	sqc14622		Pmmm	47	orthorhombic	{10,5}	3	(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
	UQC1779	*22222a	(2,5,4)	{5,10}	{4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3}	No s‑net	sqc9357	sqc14605
	UQC1780	*22222a	(2,5,4)	{5,10}	{4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3}	sqc8268	sqc9356	sqc3100
	UQC1781	*22222a	(2,5,4)	{5,10}	{4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3}	No s‑net	sqc9390	sqc14606
	UQC1782	*22222a	(2,5,4)	{5,10}	{4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3}	sqc9275	sqc9393	sqc3138
	UQC1783	*22222a	(2,5,4)	{5,10}	{4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3}	sqc8585	sqc9445	sqc3296
	UQC1784	*22222b	(2,5,4)	{5,10}	{4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3}	sqc222	sqc9392	sqc3286
	UQC1785	*22222b	(2,5,4)	{5,10}	{4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3}	sqc3285	sqc9394	sqc222
	UQC1786	*22222b	(2,5,4)	{5,10}	{4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3}	No s‑net	sqc9391	sqc14622
	UQC1787	*22222b	(2,5,4)	{5,10}	{4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3}	sqc3063	sqc9424	sqc222
	UQC1788	*22222b	(2,5,4)	{5,10}	{4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3}	sqc222	sqc9425	sqc3377

Symmetry-lowered hyperbolic tilings

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