h-net: hqc1267

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,5,4)
Vertex degrees	{7,6}
2D vertex symbol	{4.4.3.3.3.4.4}{3.3.3.3.3.3}
Delaney-Dress Symbol	<1267.2:10:1 2 3 4 5 7 9 10,2 4 6 7 8 10,1 3 5 8 9 10:4 4 3 3,7 6>
Dual net	hqc1479

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)
	sqc366		Pmmm	47	orthorhombic	{6,7}	3	(2,5)
	sqc3465		Fmmm	69	orthorhombic	{7,6}	6	(2,5)
	sqc9455		P4/mmm	123	tetragonal	{6,7}	12	(2,5)
	sqc9361		I4122	98	tetragonal	{6,7}	12	(2,6)
	sqc9371		I4122	98	tetragonal	{6,7}	12	(2,6)
	sqc9450		I4122	98	tetragonal	{6,7}	12	(2,6)
	sqc9487		Fddd	70	orthorhombic	{6,7}	12	(2,6)
	sqc9488		Fddd	70	orthorhombic	{6,7}	12	(2,6)
	sqc9496		Fddd	70	orthorhombic	{6,7}	12	(2,6)
	sqc9519		I4122	98	tetragonal	{6,7}	12	(2,6)
	sqc9649		I4122	98	tetragonal	{6,7}	12	(2,6)
	sqc9651		Fddd	70	orthorhombic	{6,7}	12	(2,6)
	sqc9653		Fddd	70	orthorhombic	{6,7}	12	(2,6)
	sqc387		Pmmm	47	orthorhombic	{7,6}	3	(2,5)
	sqc409		Pmmm	47	orthorhombic	{6,7}	3	(2,5)
	sqc3146		P4222	93	tetragonal	{7,6}	6	(2,5)
	sqc3204		P4222	93	tetragonal	{6,7}	6	(2,5)
	sqc3406		P4222	93	tetragonal	{7,6}	6	(2,5)
	sqc3451		P4222	93	tetragonal	{7,6}	6	(2,5)
	sqc3467		Cmma	67	orthorhombic	{6,7}	6	(2,5)
	sqc3527		Cmma	67	orthorhombic	{6,7}	6	(2,5)
	sqc3722		P4222	93	tetragonal	{6,7}	6	(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
	UQC1611	*22222a	(2,5,4)	{7,6}	{4.4.3.3.3.4.4}{3.3.3.3.3.3}	No s‑net	sqc9371	sqc3204
	UQC1612	*22222a	(2,5,4)	{7,6}	{4.4.3.3.3.4.4}{3.3.3.3.3.3}	sqc2411	sqc9361	sqc3146
	UQC1613	*22222a	(2,5,4)	{7,6}	{4.4.3.3.3.4.4}{3.3.3.3.3.3}	sqc9455	sqc9649	sqc3722
	UQC1614	*22222a	(2,5,4)	{7,6}	{4.4.3.3.3.4.4}{3.3.3.3.3.3}	sqc9026	sqc9519	sqc3451
	UQC1615	*22222b	(2,5,4)	{7,6}	{4.4.3.3.3.4.4}{3.3.3.3.3.3}	sqc2625	sqc9487	sqc387
	UQC1616	*22222b	(2,5,4)	{7,6}	{4.4.3.3.3.4.4}{3.3.3.3.3.3}	sqc366	sqc9488	sqc3467
	UQC1617	*22222b	(2,5,4)	{7,6}	{4.4.3.3.3.4.4}{3.3.3.3.3.3}	sqc3465	sqc9653	sqc366
	UQC1618	*22222b	(2,5,4)	{7,6}	{4.4.3.3.3.4.4}{3.3.3.3.3.3}	No s‑net	sqc9496	sqc409
	UQC1619	*22222b	(2,5,4)	{7,6}	{4.4.3.3.3.4.4}{3.3.3.3.3.3}	sqc366	sqc9651	sqc3527
	UQC1620	*22222a	(2,5,4)	{7,6}	{4.4.3.3.3.4.4}{3.3.3.3.3.3}	No s‑net	sqc9450	sqc3406

Symmetry-lowered hyperbolic tilings

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