h-net: hqc1707

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,5,4)
Vertex degrees	{3,10}
2D vertex symbol	{4.4.6}{6.4.4.4.4.6.4.4.4.4}
Delaney-Dress Symbol	<1707.2:11:1 2 3 5 7 8 9 10 11,2 4 5 8 9 11,3 8 6 7 10 11:4 6 4 4,3 10>
Dual net	hqc1867

Derived s-nets

s-nets with faithful topology

19 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)
	sqc4199		Fmmm	69	orthorhombic	{10,3}	10	(2,5)
	sqc10112		I4122	98	tetragonal	{10,3,3}	20	(3,6)
	sqc10116		I4122	98	tetragonal	{10,3,3}	20	(3,6)
	sqc10125		I4122	98	tetragonal	{10,3,3}	20	(3,6)
	sqc10165		Fddd	70	orthorhombic	{10,3,3}	20	(3,6)
	sqc10166		I4122	98	tetragonal	{10,3,3}	20	(3,6)
	sqc10167		Fddd	70	orthorhombic	{10,3,3}	20	(3,6)
	sqc10195		Fddd	70	orthorhombic	{10,3,3}	20	(3,6)
	sqc10200		Fddd	70	orthorhombic	{10,3,3}	20	(3,6)
	sqc10201		Fddd	70	orthorhombic	{10,3,3}	20	(3,6)
	sqc10202		I4122	98	tetragonal	{10,3,3}	20	(3,6)
	sqc531		Pmmm	47	orthorhombic	{3,10}	5	(2,5)
	sqc4005		P42/mmc	131	tetragonal	{3,10}	10	(2,5)
	sqc4010		P4222	93	tetragonal	{10,3}	10	(2,5)
	sqc4043		P4222	93	tetragonal	{3,10}	10	(2,5)
	sqc4045		P4222	93	tetragonal	{3,10}	10	(2,5)
	sqc4200		Cmma	67	orthorhombic	{3,10}	10	(2,5)
	sqc4204		P4222	93	tetragonal	{3,10}	10	(2,5)
	sqc4258		Cmma	67	orthorhombic	{3,10}	10	(2,5)

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
	UQC2154	*22222a	(2,5,4)	{10,3}	{4.4.6}{6.4.4.4.4.6.4.4.4.4}	No s‑net	sqc10116	sqc4005
	UQC2155	*22222a	(2,5,4)	{10,3}	{4.4.6}{6.4.4.4.4.6.4.4.4.4}	sqc9273	sqc10112	sqc4010
	UQC2156	*22222b	(2,5,4)	{10,3}	{4.4.6}{6.4.4.4.4.6.4.4.4.4}	No s‑net	sqc10165	sqc531
	UQC2157	*22222a	(2,5,4)	{10,3}	{4.4.6}{6.4.4.4.4.6.4.4.4.4}	sqc9466	sqc10202	sqc4204
	UQC2158	*22222b	(2,5,4)	{10,3}	{4.4.6}{6.4.4.4.4.6.4.4.4.4}	sqc369	sqc10167	sqc4200
	UQC2159	*22222b	(2,5,4)	{10,3}	{4.4.6}{6.4.4.4.4.6.4.4.4.4}	sqc3922	sqc10201	sqc369
	UQC2160	*22222b	(2,5,4)	{10,3}	{4.4.6}{6.4.4.4.4.6.4.4.4.4}	sqc4199	sqc10195	sqc369
	UQC2161	*22222a	(2,5,4)	{10,3}	{4.4.6}{6.4.4.4.4.6.4.4.4.4}	sqc3921	sqc10166	sqc4043
	UQC2162	*22222b	(2,5,4)	{10,3}	{4.4.6}{6.4.4.4.4.6.4.4.4.4}	sqc369	sqc10200	sqc4258
	UQC2163	*22222a	(2,5,4)	{10,3}	{4.4.6}{6.4.4.4.4.6.4.4.4.4}	No s‑net	sqc10125	sqc4045

Symmetry-lowered hyperbolic tilings

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