h-net: hqc1672

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,6,4)
Vertex degrees	{8,3}
2D vertex symbol	{4.4.4.3.3.4.4.4}{4.4.3}
Delaney-Dress Symbol	<1672.2:11:1 2 3 4 5 7 9 10 11,2 4 6 11 10 9,1 3 5 8 9 10 11:4 4 4 3,8 3>
Dual net	hqc1767

Derived s-nets

s-nets with faithful topology

22 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)
	sqc560		Pmmm	47	orthorhombic	{3,8}	4	(2,6)
	sqc4238		Fmmm	69	orthorhombic	{8,3}	8	(2,6)
	sqc10205		P4/mmm	123	tetragonal	{8,3}	16	(2,6)
	sqc10126		I4122	98	tetragonal	{8,3}	16	(2,7)
	sqc10138		I4122	98	tetragonal	{8,3}	16	(2,7)
	sqc10209		I4122	98	tetragonal	{8,3}	16	(2,7)
	sqc10233		I4122	98	tetragonal	{8,3}	16	(2,7)
	sqc10234		I4122	98	tetragonal	{8,3}	16	(2,7)
	sqc10247		Fddd	70	orthorhombic	{8,3}	16	(2,7)
	sqc10248		Fddd	70	orthorhombic	{8,3}	16	(2,7)
	sqc10259		Fddd	70	orthorhombic	{8,3}	16	(2,7)
	sqc10266		Fddd	70	orthorhombic	{8,3}	16	(2,7)
	sqc10409		Fddd	70	orthorhombic	{8,3}	16	(2,7)
	sqc577		Pmmm	47	orthorhombic	{8,3}	4	(2,6)
	sqc588		Pmmm	47	orthorhombic	{3,8}	4	(2,6)
	sqc4080		P4222	93	tetragonal	{8,3}	8	(2,6)
	sqc4111		P4222	93	tetragonal	{8,3}	8	(2,6)
	sqc4268		P4222	93	tetragonal	{8,3}	8	(2,6)
	sqc4271		P4222	93	tetragonal	{3,8}	8	(2,6)
	sqc4330		Cmma	67	orthorhombic	{3,8}	8	(2,6)
	sqc4332		Cmma	67	orthorhombic	{3,8}	8	(2,6)
	sqc4368		P4222	93	tetragonal	{8,3}	8	(2,6)

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
	UQC2075	*22222a	(2,6,4)	{8,3}	{4.4.4.3.3.4.4.4}{4.4.3}	No s‑net	sqc10138	sqc4111
	UQC2076	*22222a	(2,6,4)	{8,3}	{4.4.4.3.3.4.4.4}{4.4.3}	sqc10205	sqc10209	sqc4368
	UQC2077	*22222b	(2,6,4)	{8,3}	{4.4.4.3.3.4.4.4}{4.4.3}	sqc3399	sqc10259	sqc588
	UQC2078	*22222a	(2,6,4)	{8,3}	{4.4.4.3.3.4.4.4}{4.4.3}	No s‑net	sqc10234	sqc4268
	UQC2079	*22222b	(2,6,4)	{8,3}	{4.4.4.3.3.4.4.4}{4.4.3}	sqc560	sqc10247	sqc4332
	UQC2080	*22222b	(2,6,4)	{8,3}	{4.4.4.3.3.4.4.4}{4.4.3}	sqc4238	sqc10248	sqc560
	UQC2081	*22222b	(2,6,4)	{8,3}	{4.4.4.3.3.4.4.4}{4.4.3}	No s‑net	sqc10266	sqc577
	UQC2082	*22222b	(2,6,4)	{8,3}	{4.4.4.3.3.4.4.4}{4.4.3}	sqc560	sqc10409	sqc4330
	UQC2083	*22222a	(2,6,4)	{8,3}	{4.4.4.3.3.4.4.4}{4.4.3}	sqc9659	sqc10233	sqc4271
	UQC2084	*22222a	(2,6,4)	{8,3}	{4.4.4.3.3.4.4.4}{4.4.3}	sqc3229	sqc10126	sqc4080

Symmetry-lowered hyperbolic tilings

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