h-net: hqc1489

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(4,5,2)
Vertex degrees	{4,3,6,4}
2D vertex symbol	{5.5.5.5}{5.5.5}{5.5.5.5.5.5}{5.5.5.5}
Delaney-Dress Symbol	<1489.2:10:1 3 5 7 9 10,2 4 5 6 8 10,1 2 3 6 7 8 9 10:5 5,4 3 6 4>
Dual net	hqc1345

Derived s-nets

s-nets with faithful topology

20 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)
	sqc3421		Fmmm	69	orthorhombic	{3,6,4,4}	10	(4,5)
	sqc3652		Fmmm	69	orthorhombic	{6,3,4,4}	10	(4,5)
	sqc9783		P4/mmm	123	tetragonal	{4,3,6,4}	20	(4,5)
	sqc9460		I4122	98	tetragonal	{4,3,6,4}	20	(4,6)
	sqc9558		I4122	98	tetragonal	{4,3,6,4}	20	(4,6)
	sqc9559		Fddd	70	orthorhombic	{4,3,6,4}	20	(4,6)
	sqc9574		I4122	98	tetragonal	{4,3,6,4}	20	(4,6)
	sqc9596		I4122	98	tetragonal	{4,3,6,4}	20	(4,6)
	sqc9597		Fddd	70	orthorhombic	{4,3,6,4}	20	(4,6)
	sqc9598		Fddd	70	orthorhombic	{4,3,6,4}	20	(4,6)
	sqc9778		Fddd	70	orthorhombic	{4,3,6,4}	20	(4,6)
	sqc9779		Fddd	70	orthorhombic	{4,3,6,4}	20	(4,6)
	sqc9789		I4122	98	tetragonal	{4,3,6,4}	20	(4,6)
	sqc508		Pmmm	47	orthorhombic	{4,6,3,4}	5	(4,5)
	sqc3265		Cmma	67	orthorhombic	{4,3,4,6}	10	(4,5)
	sqc3420		Cmma	67	orthorhombic	{4,6,3,4}	10	(4,5)
	sqc3479		P4222	93	tetragonal	{4,6,3,4}	10	(4,5)
	sqc3767		P4222	93	tetragonal	{4,6,3,4}	10	(4,5)
	sqc3795		P4222	93	tetragonal	{3,6,4,4}	10	(4,5)

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
	UQC4577	*22222a	(4,5,2)	{4,3,6,4}	{5.5.5.5}{5.5.5}{5.5.5.5.5.5}{5....	sqc9278	sqc9558	sqc3479
	UQC4578	*22222a	(4,5,2)	{4,3,6,4}	{5.5.5.5}{5.5.5}{5.5.5.5.5.5}{5....	No s‑net	sqc9460	No s‑net
	UQC4579	*22222a	(4,5,2)	{4,3,6,4}	{5.5.5.5}{5.5.5}{5.5.5.5.5.5}{5....	sqc9289	sqc9596	sqc3795
	UQC4580	*22222a	(4,5,2)	{4,3,6,4}	{5.5.5.5}{5.5.5}{5.5.5.5.5.5}{5....	sqc9783	sqc9789	sqc3767
	UQC4581	*22222b	(4,5,2)	{4,3,6,4}	{5.5.5.5}{5.5.5}{5.5.5.5.5.5}{5....	sqc3652	sqc9598	sqc508
	UQC4582	*22222a	(4,5,2)	{4,3,6,4}	{5.5.5.5}{5.5.5}{5.5.5.5.5.5}{5....	No s‑net	sqc9574	No s‑net
	UQC4583	*22222b	(4,5,2)	{4,3,6,4}	{5.5.5.5}{5.5.5}{5.5.5.5.5.5}{5....	No s‑net	sqc9559	No s‑net
	UQC4584	*22222b	(4,5,2)	{4,3,6,4}	{5.5.5.5}{5.5.5}{5.5.5.5.5.5}{5....	sqc3421	sqc9779	sqc508
	UQC4585	*22222b	(4,5,2)	{4,3,6,4}	{5.5.5.5}{5.5.5}{5.5.5.5.5.5}{5....	sqc3085	sqc9597	sqc3265
	UQC4586	*22222b	(4,5,2)	{4,3,6,4}	{5.5.5.5}{5.5.5}{5.5.5.5.5.5}{5....	sqc508	sqc9778	sqc3420

Symmetry-lowered hyperbolic tilings

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