h-net: hqc2052

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(5,5,2)
Vertex degrees	{3,6,4,4,4}
2D vertex symbol	{4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5}
Delaney-Dress Symbol	<2052.2:12:2 4 6 8 10 12,1 2 5 12 7 9 11,3 4 5 6 7 8 9 10 11 12:4 5,3 6 4 4 4>
Dual net	hqc1917

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)
	sqc5429		Fmmm	69	orthorhombic	{6,3,4,4,4}	12	(5,5)
	sqc5431		Fmmm	69	orthorhombic	{6,4,4,3,4}	12	(5,5)
	sqc5437		Fmmm	69	orthorhombic	{3,4,4,6,4}	12	(5,5)
	sqc5438		Fmmm	69	orthorhombic	{3,4,6,4,4}	12	(5,5)
	sqc5574		Fmmm	69	orthorhombic	{3,4,6,4,4}	12	(5,5)
	sqc10780		P4/mmm	123	tetragonal	{3,6,4,4,4}	24	(5,5)
	sqc10818		P4/mmm	123	tetragonal	{3,6,4,4,4}	24	(5,5)
	sqc10852		P4/mmm	123	tetragonal	{3,6,4,4,4}	24	(5,5)
	sqc10857		P4/mmm	123	tetragonal	{3,6,4,4,4}	24	(5,5)
	sqc11064		P4/mmm	123	tetragonal	{3,6,4,4,4}	24	(5,5)
	sqc10779		I4122	98	tetragonal	{3,6,4,4,4}	24	(5,6)
	sqc10842		I4122	98	tetragonal	{3,6,4,4,4}	24	(5,6)
	sqc10853		I4122	98	tetragonal	{3,6,4,4,4}	24	(5,6)
	sqc10856		I4122	98	tetragonal	{3,6,4,4,4}	24	(5,6)
	sqc11068		Fddd	70	orthorhombic	{3,6,4,4,4}	24	(5,6)
	sqc11074		I4122	98	tetragonal	{3,6,4,4,4}	24	(5,6)
	sqc11075		Fddd	70	orthorhombic	{3,6,4,4,4}	24	(5,6)
	sqc11076		Fddd	70	orthorhombic	{3,6,4,4,4}	24	(5,6)
	sqc11077		Fddd	70	orthorhombic	{3,6,4,4,4}	24	(5,6)
	sqc11078		Fddd	70	orthorhombic	{3,6,4,4,4}	24	(5,6)
	sqc5092		P4222	93	tetragonal	{4,3,4,4,6}	12	(5,5)
	sqc5154		P4222	93	tetragonal	{4,4,6,4,3}	12	(5,5)
	sqc5155		Cmma	67	orthorhombic	{4,3,4,4,6}	12	(5,5)
	sqc5305		P4222	93	tetragonal	{6,3,4,4,4}	12	(5,5)
	sqc5340		Cmma	67	orthorhombic	{6,3,4,4,4}	12	(5,5)
	sqc5375		P4222	93	tetragonal	{3,6,4,4,4}	12	(5,5)
	sqc5376		P4222	93	tetragonal	{4,4,3,4,6}	12	(5,5)
	sqc5380		Cmma	67	orthorhombic	{3,4,4,4,6}	12	(5,5)
	sqc5434		Cmma	67	orthorhombic	{3,4,4,4,6}	12	(5,5)
	sqc5436		Cmma	67	orthorhombic	{4,3,4,6,4}	12	(5,5)

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
	UQC5393	*22222b	(5,5,2)	{3,6,4,4,4}	{4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5....	sqc5431	sqc11076	sqc5155
	UQC5394	*22222a	(5,5,2)	{3,6,4,4,4}	{4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5....	sqc10780	sqc10779	sqc5305
	UQC5395	*22222b	(5,5,2)	{3,6,4,4,4}	{4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5....	sqc5437	sqc11068	sqc5434
	UQC5396	*22222b	(5,5,2)	{3,6,4,4,4}	{4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5....	sqc5438	sqc11075	sqc5340
	UQC5397	*22222a	(5,5,2)	{3,6,4,4,4}	{4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5....	sqc11064	sqc11074	sqc5375
	UQC5398	*22222b	(5,5,2)	{3,6,4,4,4}	{4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5....	sqc5574	sqc11077	sqc5436
	UQC5399	*22222a	(5,5,2)	{3,6,4,4,4}	{4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5....	sqc10818	sqc10842	sqc5376
	UQC5400	*22222b	(5,5,2)	{3,6,4,4,4}	{4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5....	sqc5429	sqc11078	sqc5380
	UQC5401	*22222a	(5,5,2)	{3,6,4,4,4}	{4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5....	sqc10852	sqc10853	sqc5154
	UQC5402	*22222a	(5,5,2)	{3,6,4,4,4}	{4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5....	sqc10857	sqc10856	sqc5092

Symmetry-lowered hyperbolic tilings

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