h-net: hqc1490

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(4,5,2)
Vertex degrees	{4,3,3,4}
2D vertex symbol	{5.5.5.5}{5.10.5}{5.10.10}{10.10.10.10}
Delaney-Dress Symbol	<1490.2:10:1 3 5 7 9 10,2 4 5 6 8 10,1 2 3 6 7 8 9 10:5 10,4 3 3 4>
Dual net	hqc1342

Derived s-nets

s-nets with faithful topology

19 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)
	sqc3699		Fmmm	69	orthorhombic	{3,3,4,4}	12	(4,5)
	sqc9920		P4/mmm	123	tetragonal	{4,3,3,4}	24	(4,5)
	sqc9389		I4122	98	tetragonal	{4,3,3,4}	24	(4,6)
	sqc9595		I4122	98	tetragonal	{4,3,3,4}	24	(4,6)
	sqc9624		Fddd	70	orthorhombic	{4,3,3,4}	24	(4,6)
	sqc9631		Fddd	70	orthorhombic	{4,3,3,4}	24	(4,6)
	sqc9632		Fddd	70	orthorhombic	{4,3,3,4}	24	(4,6)
	sqc9634		I4122	98	tetragonal	{4,3,3,4}	24	(4,6)
	sqc9636		Fddd	70	orthorhombic	{4,3,3,4}	24	(4,6)
	sqc9683		Fddd	70	orthorhombic	{4,3,3,4}	24	(4,6)
	sqc9888		I4122	98	tetragonal	{4,3,3,4}	24	(4,6)
	sqc9914		I4122	98	tetragonal	{4,3,3,4}	24	(4,6)
	sqc474		Pmmm	47	orthorhombic	{4,3,3,4}	6	(4,5)
	sqc3264		P4222	93	tetragonal	{4,3,4,3}	12	(4,5)
	sqc3282		P4222	93	tetragonal	{3,4,3,4}	12	(4,5)
	sqc3700		Cmma	67	orthorhombic	{3,4,3,4}	12	(4,5)
	sqc3747		P4222	93	tetragonal	{3,4,3,4}	12	(4,5)
	sqc3749		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
	UQC4594	*22222a	(4,5,2)	{4,3,3,4}	{5.5.5.5}{5.10.5}{5.10.10}{10.10...	No s‑net	sqc9389	No s‑net
	UQC4595	*22222a	(4,5,2)	{4,3,3,4}	{5.5.5.5}{5.10.5}{5.10.10}{10.10...	sqc9281	sqc9595	sqc3264
	UQC4596	*22222b	(4,5,2)	{4,3,3,4}	{5.5.5.5}{5.10.5}{5.10.10}{10.10...	sqc3081	sqc9636	sqc474
	UQC4597	*22222b	(4,5,2)	{4,3,3,4}	{5.5.5.5}{5.10.5}{5.10.10}{10.10...	sqc474	sqc9683	sqc3749
	UQC4598	*22222b	(4,5,2)	{4,3,3,4}	{5.5.5.5}{5.10.5}{5.10.10}{10.10...	sqc3699	sqc9632	sqc474
	UQC4599	*22222a	(4,5,2)	{4,3,3,4}	{5.5.5.5}{5.10.5}{5.10.10}{10.10...	No s‑net	sqc9888	No s‑net
	UQC4600	*22222b	(4,5,2)	{4,3,3,4}	{5.5.5.5}{5.10.5}{5.10.10}{10.10...	sqc474	sqc9631	sqc3700
	UQC4601	*22222b	(4,5,2)	{4,3,3,4}	{5.5.5.5}{5.10.5}{5.10.10}{10.10...	No s‑net	sqc9624	No s‑net
	UQC4602	*22222a	(4,5,2)	{4,3,3,4}	{5.5.5.5}{5.10.5}{5.10.10}{10.10...	sqc9300	sqc9634	sqc3282
	UQC4603	*22222a	(4,5,2)	{4,3,3,4}	{5.5.5.5}{5.10.5}{5.10.10}{10.10...	sqc9920	sqc9914	sqc3747

Symmetry-lowered hyperbolic tilings

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