h-net: hqc2418

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,7,6)
Vertex degrees	{5,3}
2D vertex symbol	{4.8.4.4.4}{4.4.8}
Delaney-Dress Symbol	<2418.2:16:1 2 3 4 5 6 7 9 11 12 13 14 15 16,2 4 6 8 16 12 13 15,3 12 5 7 10 11 14 16:4 4 4 4 8 4,5 3>
Dual net	hqc2434

Derived s-nets

s-nets with faithful topology

30 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)
	sqc7453		P4/mmm	123	tetragonal	{3,5}	16	(2,6)
	sqc7845		P4/mmm	123	tetragonal	{3,5}	16	(2,6)
	sqc8008		Fmmm	69	orthorhombic	{3,5}	16	(2,7)
	sqc8009		Fmmm	69	orthorhombic	{3,5}	16	(2,7)
	sqc8010		P4/mmm	123	tetragonal	{5,3}	16	(2,6)
	sqc8011		Fmmm	69	orthorhombic	{5,3}	16	(2,7)
	sqc8013		Fmmm	69	orthorhombic	{3,5}	16	(2,7)
	sqc8027		Fmmm	69	orthorhombic	{3,5}	16	(2,7)
	sqc12357		P4/mmm	123	tetragonal	{3,5}	32	(2,7)
	sqc12425		P4/mmm	123	tetragonal	{3,5}	32	(2,7)
	sqc12328		I4122	98	tetragonal	{3,3,5,5}	32	(4,8)
	sqc12329		I4122	98	tetragonal	{3,3,5,5}	32	(4,8)
	sqc12330		I4122	98	tetragonal	{3,3,5,5}	32	(4,8)
	sqc12415		Fddd	70	orthorhombic	{3,3,5,5}	32	(4,8)
	sqc12418		Fddd	70	orthorhombic	{3,3,5,5}	32	(4,8)
	sqc12420		I4122	98	tetragonal	{3,3,5,5}	32	(4,8)
	sqc12421		Fddd	70	orthorhombic	{3,3,5,5}	32	(4,8)
	sqc12422		Fddd	70	orthorhombic	{3,3,5,5}	32	(4,8)
	sqc12430		Fddd	70	orthorhombic	{3,3,5,5}	32	(4,8)
	sqc12432		I4122	98	tetragonal	{3,3,5,5}	32	(4,8)
	sqc7674		P4222	93	tetragonal	{5,3}	16	(2,7)
	sqc7692		P4222	93	tetragonal	{3,5}	16	(2,7)
	sqc7811		P4222	93	tetragonal	{5,3}	16	(2,7)
	sqc7998		Cmma	67	orthorhombic	{5,3}	16	(2,7)
	sqc7999		P4222	93	tetragonal	{5,3}	16	(2,7)
	sqc8000		P4222	93	tetragonal	{3,5}	16	(2,7)
	sqc8002		Cmma	67	orthorhombic	{3,5}	16	(2,7)
	sqc8012		Cmma	67	orthorhombic	{3,5}	16	(2,7)
	sqc8014		Cmma	67	orthorhombic	{5,3}	16	(2,7)
	sqc8023		Cmma	67	orthorhombic	{3,5}	16	(2,7)

s-nets with edge collapse

No items to display.

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
	UQC3181	*22222a	(2,7,6)	{5,3}	{4.8.4.4.4}{4.4.8}	sqc7845	sqc12330	sqc7674
	UQC3182	*22222a	(2,7,6)	{5,3}	{4.8.4.4.4}{4.4.8}	sqc8010	sqc12420	sqc8000
	UQC3183	*22222b	(2,7,6)	{5,3}	{4.8.4.4.4}{4.4.8}	sqc8027	sqc12415	sqc8023
	UQC3184	*22222b	(2,7,6)	{5,3}	{4.8.4.4.4}{4.4.8}	sqc8008	sqc12418	sqc8014
	UQC3185	*22222b	(2,7,6)	{5,3}	{4.8.4.4.4}{4.4.8}	sqc8013	sqc12422	sqc8012
	UQC3186	*22222b	(2,7,6)	{5,3}	{4.8.4.4.4}{4.4.8}	sqc8009	sqc12430	sqc8002
	UQC3187	*22222a	(2,7,6)	{5,3}	{4.8.4.4.4}{4.4.8}	sqc12425	sqc12432	sqc7999
	UQC3188	*22222b	(2,7,6)	{5,3}	{4.8.4.4.4}{4.4.8}	sqc8011	sqc12421	sqc7998
	UQC3189	*22222a	(2,7,6)	{5,3}	{4.8.4.4.4}{4.4.8}	sqc12357	sqc12328	sqc7692
	UQC3190	*22222a	(2,7,6)	{5,3}	{4.8.4.4.4}{4.4.8}	sqc7453	sqc12329	sqc7811

Symmetry-lowered hyperbolic tilings

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