h-net: hqc818

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(3,4,2)
Vertex degrees	{8,4,4}
2D vertex symbol	{3.5.5.3.3.5.5.3}{3.5.3.5}{5.5.5.5}
Delaney-Dress Symbol	<818.2:8:1 3 5 7 8,2 3 6 5 8,1 4 5 6 7 8:3 5,8 4 4>
Dual net	hqc674

Derived s-nets

s-nets with faithful topology

21 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)
	sqc116		Pmmm	47	orthorhombic	{8,4,4}	3	(3,4)
	sqc1961		Fmmm	69	orthorhombic	{4,4,8}	6	(3,4)
	sqc7429		I4122	98	tetragonal	{8,4,4}	12	(3,5)
	sqc7599		I4122	98	tetragonal	{8,4,4}	12	(3,5)
	sqc7633		I4122	98	tetragonal	{8,4,4}	12	(3,5)
	sqc7704		Fddd	70	orthorhombic	{8,4,4}	12	(3,5)
	sqc7707		I4122	98	tetragonal	{8,4,4}	12	(3,5)
	sqc7730		I4122	98	tetragonal	{8,4,4}	12	(3,5)
	sqc7763		Fddd	70	orthorhombic	{8,4,4}	12	(3,5)
	sqc7764		Fddd	70	orthorhombic	{8,4,4}	12	(3,5)
	sqc7822		Fddd	70	orthorhombic	{8,4,4}	12	(3,5)
	sqc7823		Fddd	70	orthorhombic	{8,4,4}	12	(3,5)
	sqc1654		P4222	93	tetragonal	{4,4,8}	6	(3,4)
	sqc1658		P42/mmc	131	tetragonal	{4,4,8}	6	(3,4)
	sqc1856		P4222	93	tetragonal	{8,4,4}	6	(3,4)
	sqc1857		P4222	93	tetragonal	{4,4,8}	6	(3,4)
	sqc1859		Cmma	67	orthorhombic	{4,4,8}	6	(3,4)
	sqc1962		Cmma	67	orthorhombic	{8,4,4}	6	(3,4)
	sqc2102		P4222	93	tetragonal	{4,8,4}	6	(3,4)
	sqc2106		Cmma	67	orthorhombic	{4,4,8}	6	(3,4)

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
	UQC3712	*22222a	(3,4,2)	{8,4,4}	{3.5.5.3.3.5.5.3}{3.5.3.5}{5.5.5.5}	No s‑net	sqc7599	sqc1654
	UQC3713	*22222a	(3,4,2)	{8,4,4}	{3.5.5.3.3.5.5.3}{3.5.3.5}{5.5.5.5}	sqc7024	sqc7429	sqc2102
	UQC3714	*22222a	(3,4,2)	{8,4,4}	{3.5.5.3.3.5.5.3}{3.5.3.5}{5.5.5.5}	sqc7201	sqc7707	sqc1856
	UQC3715	*22222a	(3,4,2)	{8,4,4}	{3.5.5.3.3.5.5.3}{3.5.3.5}{5.5.5.5}	sqc7269	sqc7633	sqc1658
	UQC3716	*22222a	(3,4,2)	{8,4,4}	{3.5.5.3.3.5.5.3}{3.5.3.5}{5.5.5.5}	No s‑net	sqc7730	sqc1857
	UQC3717	*22222b	(3,4,2)	{8,4,4}	{3.5.5.3.3.5.5.3}{3.5.3.5}{5.5.5.5}	sqc116	sqc7823	sqc1962
	UQC3718	*22222b	(3,4,2)	{8,4,4}	{3.5.5.3.3.5.5.3}{3.5.3.5}{5.5.5.5}	sqc1961	sqc7763	sqc116
	UQC3719	*22222b	(3,4,2)	{8,4,4}	{3.5.5.3.3.5.5.3}{3.5.3.5}{5.5.5.5}	sqc1521	sqc7822	sqc116
	UQC3720	*22222b	(3,4,2)	{8,4,4}	{3.5.5.3.3.5.5.3}{3.5.3.5}{5.5.5.5}	No s‑net	sqc7704	sqc2106
	UQC3721	*22222b	(3,4,2)	{8,4,4}	{3.5.5.3.3.5.5.3}{3.5.3.5}{5.5.5.5}	sqc1552	sqc7764	sqc1859

Symmetry-lowered hyperbolic tilings

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