h-net: hqc613

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,4,3)
Vertex degrees	{10,3}
2D vertex symbol	{4.3.6.3.4.4.3.6.3.4}{3.6.6}
Delaney-Dress Symbol	<613.2:8:1 2 3 5 7 8,2 4 5 6 8,1 3 6 7 8:4 3 6,10 3>
Dual net	hqc795

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)
	sqc1783		Fmmm	69	orthorhombic	{10,3}	6	(2,4)
	sqc7406		I4122	98	tetragonal	{3,10}	12	(2,5)
	sqc7412		I4122	98	tetragonal	{3,10}	12	(2,5)
	sqc7468		I4122	98	tetragonal	{3,10}	12	(2,5)
	sqc7472		Fddd	70	orthorhombic	{3,10}	12	(2,5)
	sqc7482		Fddd	70	orthorhombic	{3,10}	12	(2,5)
	sqc7485		Fddd	70	orthorhombic	{3,10}	12	(2,5)
	sqc7515		I4122	98	tetragonal	{3,10}	12	(2,5)
	sqc7527		Fddd	70	orthorhombic	{3,10}	12	(2,5)
	sqc7530		Fddd	70	orthorhombic	{3,10}	12	(2,5)
	sqc7533		I4122	98	tetragonal	{3,10}	12	(2,5)
	sqc1587		P4222	93	tetragonal	{10,3}	6	(2,4)
	sqc1644		P4222	93	tetragonal	{3,10}	6	(2,4)
	sqc1784		Cmma	67	orthorhombic	{3,10}	6	(2,4)
	sqc1811		P4222	93	tetragonal	{3,10}	6	(2,4)
	sqc1862		Cmma	67	orthorhombic	{3,10}	6	(2,4)
	sqc14583		P4/mmm	123	tetragonal	{10,3}	3	(2,4)
	sqc14584		P4222	93	tetragonal	{10,3}	6	(2,4)

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
	UQC743	*22222a	(2,4,3)	{10,3}	{4.3.6.3.4.4.3.6.3.4}{3.6.6}	No s‑net	sqc7412	sqc14583
	UQC744	*22222a	(2,4,3)	{10,3}	{4.3.6.3.4.4.3.6.3.4}{3.6.6}	sqc5671	sqc7406	sqc1587
	UQC745	*22222b	(2,4,3)	{10,3}	{4.3.6.3.4.4.3.6.3.4}{3.6.6}	No s‑net	sqc7472	sqc14583
	UQC746	*22222b	(2,4,3)	{10,3}	{4.3.6.3.4.4.3.6.3.4}{3.6.6}	sqc48	sqc7482	sqc1784
	UQC747	*22222a	(2,4,3)	{10,3}	{4.3.6.3.4.4.3.6.3.4}{3.6.6}	sqc1465	sqc7515	sqc1644
	UQC748	*22222b	(2,4,3)	{10,3}	{4.3.6.3.4.4.3.6.3.4}{3.6.6}	sqc1783	sqc7485	sqc48
	UQC749	*22222b	(2,4,3)	{10,3}	{4.3.6.3.4.4.3.6.3.4}{3.6.6}	sqc1466	sqc7527	sqc48
	UQC750	*22222a	(2,4,3)	{10,3}	{4.3.6.3.4.4.3.6.3.4}{3.6.6}	No s‑net	sqc7468	sqc14584
	UQC751	*22222b	(2,4,3)	{10,3}	{4.3.6.3.4.4.3.6.3.4}{3.6.6}	sqc48	sqc7530	sqc1862
	UQC752	*22222a	(2,4,3)	{10,3}	{4.3.6.3.4.4.3.6.3.4}{3.6.6}	sqc6461	sqc7533	sqc1811

Symmetry-lowered hyperbolic tilings

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