h-net: hqc1479

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(4,5,2)
Vertex degrees	{3,3,4,4}
2D vertex symbol	{6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7}
Delaney-Dress Symbol	<1479.2:10:1 3 5 7 9 10,2 3 4 6 8 10,1 4 5 6 7 8 9 10:6 7,3 3 4 4>
Dual net	hqc1267

Derived s-nets

s-nets with faithful topology

23 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)
	sqc3656		Fmmm	69	orthorhombic	{4,3,4,3}	12	(4,5)
	sqc3828		Fmmm	69	orthorhombic	{3,3,4,4}	12	(4,5)
	sqc9876		P4/mmm	123	tetragonal	{3,3,4,4}	24	(4,5)
	sqc9563		I4122	98	tetragonal	{3,3,4,4}	24	(4,6)
	sqc9567		Fddd	70	orthorhombic	{3,3,4,4}	24	(4,6)
	sqc9593		I4122	98	tetragonal	{3,3,4,4}	24	(4,6)
	sqc9603		Fddd	70	orthorhombic	{3,3,4,4}	24	(4,6)
	sqc9606		Fddd	70	orthorhombic	{3,3,4,4}	24	(4,6)
	sqc9619		I4122	98	tetragonal	{3,3,4,4}	24	(4,6)
	sqc9806		I4122	98	tetragonal	{3,3,4,4}	24	(4,6)
	sqc9853		Fddd	70	orthorhombic	{3,3,4,4}	24	(4,6)
	sqc9856		Fddd	70	orthorhombic	{3,3,4,4}	24	(4,6)
	sqc9879		I4122	98	tetragonal	{3,3,4,4}	24	(4,6)
	sqc452		Pmmm	47	orthorhombic	{3,4,4,3}	6	(4,5)
	sqc3191		P4222	93	tetragonal	{4,3,4,3}	12	(4,5)
	sqc3269		Cmma	67	orthorhombic	{3,4,3,4}	12	(4,5)
	sqc3272		P4222	93	tetragonal	{4,3,3,4}	12	(4,5)
	sqc3429		P4222	93	tetragonal	{4,4,3,3}	12	(4,5)
	sqc3827		Cmma	67	orthorhombic	{3,4,3,4}	12	(4,5)
	sqc14601		P4222	93	tetragonal	{3,4,3,4}	12	(4,5)
	sqc14602		P4222	93	tetragonal	{4,3,4,3}	12	(4,5)
	sqc14620		Cmma	67	orthorhombic	{3,3,4,4}	12	(4,5)

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
	UQC4530	*22222a	(4,5,2)	{3,3,4,4}	{6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7}	No s‑net	sqc9806	sqc14602
	UQC4531	*22222a	(4,5,2)	{3,3,4,4}	{6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7}	sqc9294	sqc9563	sqc3191
	UQC4532	*22222b	(4,5,2)	{3,3,4,4}	{6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7}	sqc3656	sqc9606	sqc452
	UQC4533	*22222b	(4,5,2)	{3,3,4,4}	{6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7}	sqc3088	sqc9603	sqc3269
	UQC4534	*22222b	(4,5,2)	{3,3,4,4}	{6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7}	sqc3828	sqc9853	sqc452
	UQC4535	*22222b	(4,5,2)	{3,3,4,4}	{6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7}	No s‑net	sqc9567	sqc14620
	UQC4536	*22222a	(4,5,2)	{3,3,4,4}	{6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7}	No s‑net	sqc9593	sqc14601
	UQC4537	*22222b	(4,5,2)	{3,3,4,4}	{6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7}	sqc452	sqc9856	sqc3827
	UQC4538	*22222a	(4,5,2)	{3,3,4,4}	{6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7}	sqc9302	sqc9619	sqc3272
	UQC4539	*22222a	(4,5,2)	{3,3,4,4}	{6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7}	sqc9876	sqc9879	sqc3429

Symmetry-lowered hyperbolic tilings

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