h-net: hqc1513

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(3,5,2)
Vertex degrees	{4,8,4}
2D vertex symbol	{8.3.3.8}{8.8.3.3.8.8.3.3}{3.3.3.3}
Delaney-Dress Symbol	<1513.2:10:1 3 5 7 9 10,2 10 6 9 8,1 4 5 6 7 8 9 10:8 3,4 8 4>
Dual net	hqc1424

Derived s-nets

s-nets with faithful topology

21 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)
	sqc420		Pmmm	47	orthorhombic	{4,4,8}	4	(3,5)
	sqc3561		Fmmm	69	orthorhombic	{8,4,4}	8	(3,5)
	sqc9477		P4/mmm	123	tetragonal	{4,8,4}	16	(3,5)
	sqc9378		I4122	98	tetragonal	{4,8,4}	16	(3,6)
	sqc9476		I4122	98	tetragonal	{4,8,4}	16	(3,6)
	sqc9506		Fddd	70	orthorhombic	{4,8,4}	16	(3,6)
	sqc9507		I4122	98	tetragonal	{4,8,4}	16	(3,6)
	sqc9510		I4122	98	tetragonal	{4,8,4}	16	(3,6)
	sqc9511		Fddd	70	orthorhombic	{4,8,4}	16	(3,6)
	sqc9512		Fddd	70	orthorhombic	{4,8,4}	16	(3,6)
	sqc9711		Fddd	70	orthorhombic	{4,8,4}	16	(3,6)
	sqc9714		Fddd	70	orthorhombic	{4,8,4}	16	(3,6)
	sqc9736		I4122	98	tetragonal	{4,8,4}	16	(3,6)
	sqc3169		P42/mmc	131	tetragonal	{8,4,4}	8	(3,5)
	sqc3226		P4222	93	tetragonal	{4,8,4}	8	(3,5)
	sqc3227		P4222	93	tetragonal	{4,4,8}	8	(3,5)
	sqc3522		P42/mmc	131	tetragonal	{4,4,8}	8	(3,5)
	sqc3596		P42/mcm	132	tetragonal	{4,8,4}	8	(3,5)
	sqc3719		Cmma	67	orthorhombic	{4,8,4}	8	(3,5)
	sqc3774		Cmma	67	orthorhombic	{4,8,4}	8	(3,5)

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
	UQC4157	*22222a	(3,5,2)	{4,8,4}	{8.3.3.8}{8.8.3.3.8.8.3.3}{3.3.3.3}	No s‑net	sqc9378	sqc3227
	UQC4158	*22222b	(3,5,2)	{4,8,4}	{8.3.3.8}{8.8.3.3.8.8.3.3}{3.3.3.3}	sqc420	sqc9506	sqc3719
	UQC4159	*22222a	(3,5,2)	{4,8,4}	{8.3.3.8}{8.8.3.3.8.8.3.3}{3.3.3.3}	sqc9286	sqc9507	sqc3169
	UQC4160	*22222b	(3,5,2)	{4,8,4}	{8.3.3.8}{8.8.3.3.8.8.3.3}{3.3.3.3}	sqc420	sqc9711	sqc3774
	UQC4161	*22222a	(3,5,2)	{4,8,4}	{8.3.3.8}{8.8.3.3.8.8.3.3}{3.3.3.3}	No s‑net	sqc9736	sqc3522
	UQC4162	*22222b	(3,5,2)	{4,8,4}	{8.3.3.8}{8.8.3.3.8.8.3.3}{3.3.3.3}	sqc3083	sqc9512	sqc420
	UQC4163	*22222b	(3,5,2)	{4,8,4}	{8.3.3.8}{8.8.3.3.8.8.3.3}{3.3.3.3}	No s‑net	sqc9714	sqc420
	UQC4164	*22222b	(3,5,2)	{4,8,4}	{8.3.3.8}{8.8.3.3.8.8.3.3}{3.3.3.3}	sqc3561	sqc9511	sqc420
	UQC4165	*22222a	(3,5,2)	{4,8,4}	{8.3.3.8}{8.8.3.3.8.8.3.3}{3.3.3.3}	sqc9285	sqc9510	sqc3226
	UQC4166	*22222a	(3,5,2)	{4,8,4}	{8.3.3.8}{8.8.3.3.8.8.3.3}{3.3.3.3}	sqc9477	sqc9476	sqc3596

Symmetry-lowered hyperbolic tilings

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