h-net: hqc1917

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,5,5)
Vertex degrees	{5,4}
2D vertex symbol	{4.6.3.4.4}{3.6.3.6}
Delaney-Dress Symbol	<1917.2:12:1 2 3 4 5 6 7 9 11 12,2 4 6 8 9 12 11,3 12 5 7 10 11:4 4 4 3 6,5 4>
Dual net	hqc2052

Derived s-nets

s-nets with faithful topology

30 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)
	sqc4889		P4/mmm	123	tetragonal	{5,4}	10	(2,4)
	sqc5334		P4/mmm	123	tetragonal	{5,4}	10	(2,4)
	sqc5461		Fmmm	69	orthorhombic	{5,4}	10	(2,5)
	sqc5462		Fmmm	69	orthorhombic	{5,4}	10	(2,5)
	sqc5464		P4/mmm	123	tetragonal	{5,4}	10	(2,4)
	sqc5466		I4/mmm	139	tetragonal	{5,4}	10	(2,4)
	sqc5467		Fmmm	69	orthorhombic	{5,4}	10	(2,5)
	sqc5473		Fmmm	69	orthorhombic	{5,4}	10	(2,5)
	sqc10888		P4/mmm	123	tetragonal	{4,5}	20	(2,5)
	sqc11113		P4/mmm	123	tetragonal	{4,5}	20	(2,5)
	sqc10822		I4122	98	tetragonal	{4,5,5}	20	(3,6)
	sqc10823		I4122	98	tetragonal	{4,5,5}	20	(3,6)
	sqc10826		I4122	98	tetragonal	{4,5,5}	20	(3,6)
	sqc11089		I4122	98	tetragonal	{4,5,5}	20	(3,6)
	sqc11090		I4122	98	tetragonal	{4,5,5}	20	(3,6)
	sqc11101		Fddd	70	orthorhombic	{4,5,5}	20	(3,6)
	sqc11102		Fddd	70	orthorhombic	{4,5,5}	20	(3,6)
	sqc11103		Fddd	70	orthorhombic	{4,5,5}	20	(3,6)
	sqc11105		Fddd	70	orthorhombic	{4,5,5}	20	(3,6)
	sqc11106		Fddd	70	orthorhombic	{4,5,5}	20	(3,6)
	sqc5198		P4222	93	tetragonal	{5,4}	10	(2,5)
	sqc5200		P4222	93	tetragonal	{5,4}	10	(2,5)
	sqc5201		P4222	93	tetragonal	{5,4}	10	(2,5)
	sqc5445		Cmma	67	orthorhombic	{5,4}	10	(2,5)
	sqc5454		P4222	93	tetragonal	{5,4}	10	(2,5)
	sqc5455		P4222	93	tetragonal	{5,4}	10	(2,5)
	sqc5458		Cmma	67	orthorhombic	{5,4}	10	(2,5)
	sqc5460		Cmma	67	orthorhombic	{5,4}	10	(2,5)
	sqc5463		Cmma	67	orthorhombic	{5,4}	10	(2,5)
	sqc5465		Cmma	67	orthorhombic	{5,4}	10	(2,5)

s-nets with edge collapse

No items to display.

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
	UQC2515	*22222a	(2,5,5)	{4,5}	{4.6.3.4.4}{3.6.3.6}	sqc5334	sqc10822	sqc5200
	UQC2516	*22222b	(2,5,5)	{4,5}	{4.6.3.4.4}{3.6.3.6}	sqc5462	sqc11102	sqc5460
	UQC2517	*22222b	(2,5,5)	{4,5}	{4.6.3.4.4}{3.6.3.6}	sqc5467	sqc11105	sqc5463
	UQC2518	*22222a	(2,5,5)	{4,5}	{4.6.3.4.4}{3.6.3.6}	sqc11113	sqc11090	sqc5454
	UQC2519	*22222a	(2,5,5)	{4,5}	{4.6.3.4.4}{3.6.3.6}	sqc4889	sqc10826	sqc5201
	UQC2520	*22222a	(2,5,5)	{4,5}	{4.6.3.4.4}{3.6.3.6}	sqc10888	sqc10823	sqc5198
	UQC2521	*22222b	(2,5,5)	{4,5}	{4.6.3.4.4}{3.6.3.6}	sqc5461	sqc11103	sqc5465
	UQC2522	*22222b	(2,5,5)	{4,5}	{4.6.3.4.4}{3.6.3.6}	sqc5473	sqc11106	sqc5445
	UQC2523	*22222b	(2,5,5)	{4,5}	{4.6.3.4.4}{3.6.3.6}	sqc5466	sqc11101	sqc5458
	UQC2524	*22222a	(2,5,5)	{4,5}	{4.6.3.4.4}{3.6.3.6}	sqc5464	sqc11089	sqc5455

Symmetry-lowered hyperbolic tilings

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