h-net: hqc1270

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,5,4)
Vertex degrees	{7,3}
2D vertex symbol	{4.4.3.6.3.4.4}{3.6.6}
Delaney-Dress Symbol	<1270.2:10:1 2 3 4 5 7 9 10,2 4 6 7 8 10,1 3 5 8 9 10:4 4 3 6,7 3>
Dual net	hqc1474

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)
	sqc367		Pmmm	47	orthorhombic	{7,3}	4	(2,5)
	sqc3468		Fmmm	69	orthorhombic	{3,7}	8	(2,5)
	sqc9642		P4/mmm	123	tetragonal	{3,7}	16	(2,5)
	sqc9362		I4122	98	tetragonal	{3,7}	16	(2,6)
	sqc9372		I4122	98	tetragonal	{3,7}	16	(2,6)
	sqc9449		I4122	98	tetragonal	{3,7}	16	(2,6)
	sqc9454		I4122	98	tetragonal	{3,7}	16	(2,6)
	sqc9489		Fddd	70	orthorhombic	{3,7}	16	(2,6)
	sqc9497		Fddd	70	orthorhombic	{3,7}	16	(2,6)
	sqc9520		I4122	98	tetragonal	{3,7}	16	(2,6)
	sqc9637		Fddd	70	orthorhombic	{3,7}	16	(2,6)
	sqc9654		Fddd	70	orthorhombic	{3,7}	16	(2,6)
	sqc9655		Fddd	70	orthorhombic	{3,7}	16	(2,6)
	sqc389		Pmmm	47	orthorhombic	{3,7}	4	(2,5)
	sqc3147		P4222	93	tetragonal	{3,7}	8	(2,5)
	sqc3450		P4222	93	tetragonal	{3,7}	8	(2,5)
	sqc3469		Cmma	67	orthorhombic	{7,3}	8	(2,5)
	sqc3528		Cmma	67	orthorhombic	{3,7}	8	(2,5)
	sqc3727		P4222	93	tetragonal	{7,3}	8	(2,5)
	sqc14599		P4222	93	tetragonal	{3,7}	8	(2,5)
	sqc14600		P4222	93	tetragonal	{3,7}	8	(2,5)
	sqc14619		Pmmm	47	orthorhombic	{7,3}	4	(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
	UQC1635	*22222a	(2,5,4)	{7,3}	{4.4.3.6.3.4.4}{3.6.6}	No s‑net	sqc9372	sqc14600
	UQC1636	*22222a	(2,5,4)	{7,3}	{4.4.3.6.3.4.4}{3.6.6}	sqc2412	sqc9362	sqc3147
	UQC1637	*22222a	(2,5,4)	{7,3}	{4.4.3.6.3.4.4}{3.6.6}	sqc9642	sqc9454	sqc3727
	UQC1638	*22222b	(2,5,4)	{7,3}	{4.4.3.6.3.4.4}{3.6.6}	sqc367	sqc9489	sqc3469
	UQC1639	*22222b	(2,5,4)	{7,3}	{4.4.3.6.3.4.4}{3.6.6}	sqc3468	sqc9654	sqc367
	UQC1640	*22222b	(2,5,4)	{7,3}	{4.4.3.6.3.4.4}{3.6.6}	No s‑net	sqc9497	sqc14619
	UQC1641	*22222b	(2,5,4)	{7,3}	{4.4.3.6.3.4.4}{3.6.6}	sqc367	sqc9655	sqc3528
	UQC1642	*22222a	(2,5,4)	{7,3}	{4.4.3.6.3.4.4}{3.6.6}	No s‑net	sqc9449	sqc14599
	UQC1643	*22222b	(2,5,4)	{7,3}	{4.4.3.6.3.4.4}{3.6.6}	sqc2626	sqc9637	sqc389
	UQC1644	*22222a	(2,5,4)	{7,3}	{4.4.3.6.3.4.4}{3.6.6}	sqc9039	sqc9520	sqc3450

Symmetry-lowered hyperbolic tilings

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