h-net: hqc1777

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(4,6,2)
Vertex degrees	{4,4,3,4}
2D vertex symbol	{5.5.5.5}{5.6.6.5}{5.6.6}{6.6.6.6}
Delaney-Dress Symbol	<1777.2:11:1 3 5 7 8 10 11,2 4 5 8 9 11,1 2 3 6 7 8 9 10 11:5 6,4 4 3 4>
Dual net	hqc1690

Derived s-nets

s-nets with faithful topology

24 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)
	sqc4486		Fmmm	69	orthorhombic	{4,4,3,4}	12	(4,6)
	sqc4523		Fmmm	69	orthorhombic	{4,4,3,4}	12	(4,6)
	sqc4676		Fmmm	69	orthorhombic	{4,4,3,4}	12	(4,6)
	sqc10672		P4/mmm	123	tetragonal	{4,4,3,4}	24	(4,6)
	sqc10349		Fddd	70	orthorhombic	{4,4,3,4}	24	(4,7)
	sqc10352		I4122	98	tetragonal	{4,4,3,4}	24	(4,7)
	sqc10359		I4122	98	tetragonal	{4,4,3,4}	24	(4,7)
	sqc10372		Fddd	70	orthorhombic	{4,4,3,4}	24	(4,7)
	sqc10376		I4122	98	tetragonal	{4,4,3,4}	24	(4,7)
	sqc10378		Fddd	70	orthorhombic	{4,4,3,4}	24	(4,7)
	sqc10398		Fddd	70	orthorhombic	{4,4,3,4}	24	(4,7)
	sqc10399		I4122	98	tetragonal	{4,4,3,4}	24	(4,7)
	sqc10626		Fddd	70	orthorhombic	{4,4,3,4}	24	(4,7)
	sqc10670		I4122	98	tetragonal	{4,4,3,4}	24	(4,7)
	sqc4175		P4222	93	tetragonal	{4,4,3,4}	12	(4,6)
	sqc4179		P4222	93	tetragonal	{4,4,4,3}	12	(4,6)
	sqc4180		Cmma	67	orthorhombic	{3,4,4,4}	12	(4,6)
	sqc4196		P4222	93	tetragonal	{4,3,4,4}	12	(4,6)
	sqc4197		P4222	93	tetragonal	{3,4,4,4}	12	(4,6)
	sqc4482		P4222	93	tetragonal	{4,4,3,4}	12	(4,6)
	sqc4524		Cmma	67	orthorhombic	{3,4,4,4}	12	(4,6)
	sqc4537		Cmma	67	orthorhombic	{4,3,4,4}	12	(4,6)
	sqc4567		Cmma	67	orthorhombic	{4,4,3,4}	12	(4,6)
	sqc4677		Cmma	67	orthorhombic	{3,4,4,4}	12	(4,6)

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
	UQC4849	*22222a	(4,6,2)	{4,4,3,4}	{5.5.5.5}{5.6.6.5}{5.6.6}{6.6.6.6}	sqc10073	sqc10352	sqc4196
	UQC4850	*22222a	(4,6,2)	{4,4,3,4}	{5.5.5.5}{5.6.6.5}{5.6.6}{6.6.6.6}	sqc9959	sqc10359	sqc4175
	UQC4851	*22222b	(4,6,2)	{4,4,3,4}	{5.5.5.5}{5.6.6.5}{5.6.6}{6.6.6.6}	sqc4676	sqc10626	sqc4567
	UQC4852	*22222b	(4,6,2)	{4,4,3,4}	{5.5.5.5}{5.6.6.5}{5.6.6}{6.6.6.6}	sqc4523	sqc10398	sqc4677
	UQC4853	*22222a	(4,6,2)	{4,4,3,4}	{5.5.5.5}{5.6.6.5}{5.6.6}{6.6.6.6}	sqc10672	sqc10670	sqc4482
	UQC4854	*22222b	(4,6,2)	{4,4,3,4}	{5.5.5.5}{5.6.6.5}{5.6.6}{6.6.6.6}	sqc4486	sqc10372	sqc4524
	UQC4855	*22222b	(4,6,2)	{4,4,3,4}	{5.5.5.5}{5.6.6.5}{5.6.6}{6.6.6.6}	sqc4002	sqc10378	sqc4180
	UQC4856	*22222b	(4,6,2)	{4,4,3,4}	{5.5.5.5}{5.6.6.5}{5.6.6}{6.6.6.6}	sqc3961	sqc10349	sqc4537
	UQC4857	*22222a	(4,6,2)	{4,4,3,4}	{5.5.5.5}{5.6.6.5}{5.6.6}{6.6.6.6}	sqc10100	sqc10376	sqc4179
	UQC4858	*22222a	(4,6,2)	{4,4,3,4}	{5.5.5.5}{5.6.6.5}{5.6.6}{6.6.6.6}	sqc10078	sqc10399	sqc4197

Symmetry-lowered hyperbolic tilings

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