h-net: hqc477

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,4,2)
Vertex degrees	{4,6}
2D vertex symbol	{6.4.4.6}{6.4.4.6.4.4}
Delaney-Dress Symbol	<477.2:7:1 3 5 6 7,2 3 6 7,1 4 5 6 7:6 4,4 6>
Dual net	hqc477 (self dual)

Derived s-nets

s-nets with faithful topology

27 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)
	sqc1338		Fmmm	69	orthorhombic	{4,6}	6	(2,4)
	sqc1405		Fmmm	69	orthorhombic	{6,4}	6	(2,4)
	sqc1406		Fmmm	69	orthorhombic	{6,4}	6	(2,4)
	sqc1423		Fmmm	69	orthorhombic	{6,4}	6	(2,4)
	sqc6513		P4/mmm	123	tetragonal	{4,6}	12	(2,4)
	sqc6791		P4/mmm	123	tetragonal	{4,6}	12	(2,4)
	sqc6862		P4/mmm	123	tetragonal	{4,6}	12	(2,4)
	sqc6317		I4122	98	tetragonal	{4,6}	12	(2,5)
	sqc6563		Fddd	70	orthorhombic	{6,4}	12	(2,5)
	sqc6625		I4122	98	tetragonal	{6,4}	12	(2,5)
	sqc6626		I4122	98	tetragonal	{4,6}	12	(2,5)
	sqc6631		I4122	98	tetragonal	{6,4}	12	(2,5)
	sqc6693		Fddd	70	orthorhombic	{6,4}	12	(2,5)
	sqc6694		Fddd	70	orthorhombic	{4,6}	12	(2,5)
	sqc6743		Fddd	70	orthorhombic	{4,6}	12	(2,5)
	sqc6746		Fddd	70	orthorhombic	{4,6}	12	(2,5)
	sqc6790		I4122	98	tetragonal	{4,6}	12	(2,5)
	sqc1207		P4222	93	tetragonal	{6,4}	6	(2,4)
	sqc1240		P4222	93	tetragonal	{6,4}	6	(2,4)
	sqc1241		Cmma	67	orthorhombic	{6,4}	6	(2,4)
	sqc1246		P4222	93	tetragonal	{6,4}	6	(2,4)
	sqc1296		P42/mcm	132	tetragonal	{6,4}	6	(2,4)
	sqc1339		Cmma	67	orthorhombic	{6,4}	6	(2,4)
	sqc1408		Cmma	67	orthorhombic	{4,6}	6	(2,4)
	sqc1409		Cmma	67	orthorhombic	{6,4}	6	(2,4)
	sqc1413		Cmma	67	orthorhombic	{6,4}	6	(2,4)
	sqc1414		P4222	93	tetragonal	{4,6}	6	(2,4)

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
	UQC371	*22222a	(2,4,2)	{4,6}	{6.4.4.6}{6.4.4.6.4.4}	sqc6862	sqc6317	sqc1240
	UQC372	*22222a	(2,4,2)	{4,6}	{6.4.4.6}{6.4.4.6.4.4}	sqc5798	sqc6625	sqc1207
	UQC373	*22222a	(2,4,2)	{4,6}	{6.4.4.6}{6.4.4.6.4.4}	sqc6513	sqc6626	sqc1296
	UQC374	*22222b	(2,4,2)	{4,6}	{6.4.4.6}{6.4.4.6.4.4}	sqc1406	sqc6746	sqc1413
	UQC375	*22222b	(2,4,2)	{4,6}	{6.4.4.6}{6.4.4.6.4.4}	sqc1338	sqc6694	sqc1409
	UQC376	*22222b	(2,4,2)	{4,6}	{6.4.4.6}{6.4.4.6.4.4}	sqc1102	sqc6693	sqc1241
	UQC377	*22222a	(2,4,2)	{4,6}	{6.4.4.6}{6.4.4.6.4.4}	sqc6791	sqc6790	sqc1414
	UQC378	*22222b	(2,4,2)	{4,6}	{6.4.4.6}{6.4.4.6.4.4}	sqc1405	sqc6563	sqc1339
	UQC379	*22222b	(2,4,2)	{4,6}	{6.4.4.6}{6.4.4.6.4.4}	sqc1423	sqc6743	sqc1408
	UQC380	*22222a	(2,4,2)	{4,6}	{6.4.4.6}{6.4.4.6.4.4}	sqc1101	sqc6631	sqc1246

Symmetry-lowered hyperbolic tilings

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