h-net: hqc1848

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(4,5,2)
Vertex degrees	{4,8,6,4}
2D vertex symbol	{5.5.5.5}{5.3.3.5.5.3.3.5}{5.3.3.5.3.3}{3.3.3.3}
Delaney-Dress Symbol	<1848.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:5 3,4 8 6 4>
Dual net	hqc1710

Derived s-nets

s-nets with faithful topology

23 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)
	sqc4371		Fmmm	69	orthorhombic	{4,8,6,4}	8	(4,5)
	sqc4383		Fmmm	69	orthorhombic	{8,4,6,4}	8	(4,5)
	sqc10482		P4/mmm	123	tetragonal	{4,8,6,4}	16	(4,5)
	sqc10251		I4122	98	tetragonal	{4,8,6,4}	16	(4,6)
	sqc10323		I4122	98	tetragonal	{4,8,6,4}	16	(4,6)
	sqc10324		Fddd	70	orthorhombic	{4,8,6,4}	16	(4,6)
	sqc10340		I4122	98	tetragonal	{4,8,6,4}	16	(4,6)
	sqc10353		Fddd	70	orthorhombic	{4,8,6,4}	16	(4,6)
	sqc10360		Fddd	70	orthorhombic	{4,8,6,4}	16	(4,6)
	sqc10416		I4122	98	tetragonal	{4,8,6,4}	16	(4,6)
	sqc10487		I4122	98	tetragonal	{4,8,6,4}	16	(4,6)
	sqc10489		Fddd	70	orthorhombic	{4,8,6,4}	16	(4,6)
	sqc10490		Fddd	70	orthorhombic	{4,8,6,4}	16	(4,6)
	sqc676		Pmmm	47	orthorhombic	{4,6,8,4}	4	(4,5)
	sqc4260		P4222	93	tetragonal	{4,8,4,6}	8	(4,5)
	sqc4354		P42/mmc	131	tetragonal	{4,8,6,4}	8	(4,5)
	sqc4365		P4222	93	tetragonal	{8,6,4,4}	8	(4,5)
	sqc4366		P4222	93	tetragonal	{4,8,6,4}	8	(4,5)
	sqc4370		Cmma	67	orthorhombic	{4,6,8,4}	8	(4,5)
	sqc4535		Cmma	67	orthorhombic	{8,6,4,4}	8	(4,5)
	sqc4540		P4222	93	tetragonal	{4,6,8,4}	8	(4,5)
	sqc4551		Cmma	67	orthorhombic	{4,8,4,6}	8	(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
	UQC5023	*22222a	(4,5,2)	{4,8,6,4}	{5.5.5.5}{5.3.3.5.5.3.3.5}{5.3.3...	No s‑net	sqc10416	sqc4260
	UQC5024	*22222a	(4,5,2)	{4,8,6,4}	{5.5.5.5}{5.3.3.5.5.3.3.5}{5.3.3...	sqc10482	sqc10487	sqc4354
	UQC5025	*22222a	(4,5,2)	{4,8,6,4}	{5.5.5.5}{5.3.3.5.5.3.3.5}{5.3.3...	No s‑net	sqc10340	sqc4366
	UQC5026	*22222b	(4,5,2)	{4,8,6,4}	{5.5.5.5}{5.3.3.5.5.3.3.5}{5.3.3...	sqc4383	sqc10490	sqc676
	UQC5027	*22222b	(4,5,2)	{4,8,6,4}	{5.5.5.5}{5.3.3.5.5.3.3.5}{5.3.3...	sqc4371	sqc10360	sqc676
	UQC5028	*22222b	(4,5,2)	{4,8,6,4}	{5.5.5.5}{5.3.3.5.5.3.3.5}{5.3.3...	sqc676	sqc10489	sqc4370
	UQC5029	*22222b	(4,5,2)	{4,8,6,4}	{5.5.5.5}{5.3.3.5.5.3.3.5}{5.3.3...	No s‑net	sqc10324	sqc4535
	UQC5030	*22222a	(4,5,2)	{4,8,6,4}	{5.5.5.5}{5.3.3.5.5.3.3.5}{5.3.3...	sqc9952	sqc10251	sqc4540
	UQC5031	*22222b	(4,5,2)	{4,8,6,4}	{5.5.5.5}{5.3.3.5.5.3.3.5}{5.3.3...	sqc3960	sqc10353	sqc4551
	UQC5032	*22222a	(4,5,2)	{4,8,6,4}	{5.5.5.5}{5.3.3.5.5.3.3.5}{5.3.3...	sqc9953	sqc10323	sqc4365

Symmetry-lowered hyperbolic tilings

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