h-net: hqc2297

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,7,5)
Vertex degrees	{4,6}
2D vertex symbol	{4.4.4.4}{4.4.4.4.4.4}
Delaney-Dress Symbol	<2297.2:14:1 2 3 4 5 7 9 10 11 12 13 14,2 4 6 12 10 11 14,3 10 5 8 9 11 13 14:4 4 4 4 4,4 6>
Dual net	hqc2337

Derived s-nets

s-nets with faithful topology

27 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)
	sqc6439		Fmmm	69	orthorhombic	{4,6}	12	(2,7)
	sqc6442		Fmmm	69	orthorhombic	{4,6}	12	(2,7)
	sqc6687		Fmmm	69	orthorhombic	{4,6}	12	(2,7)
	sqc6688		Fmmm	69	orthorhombic	{6,4}	12	(2,7)
	sqc11732		P4/mmm	123	tetragonal	{6,4}	24	(2,7)
	sqc11846		P4/mmm	123	tetragonal	{6,4}	24	(2,7)
	sqc11924		P4/mmm	123	tetragonal	{6,4}	24	(2,7)
	sqc11733		I4122	98	tetragonal	{6,4,4}	24	(3,8)
	sqc11764		I4122	98	tetragonal	{6,4,4}	24	(3,8)
	sqc11785		Fddd	70	orthorhombic	{6,4,4}	24	(3,8)
	sqc11788		I4122	98	tetragonal	{6,4,4}	24	(3,8)
	sqc11790		Fddd	70	orthorhombic	{6,4,4}	24	(3,8)
	sqc11791		Fddd	70	orthorhombic	{6,4,4}	24	(3,8)
	sqc11792		I4122	98	tetragonal	{6,4,4}	24	(3,8)
	sqc11793		Fddd	70	orthorhombic	{6,4,4}	24	(3,8)
	sqc11845		Fddd	70	orthorhombic	{6,4,4}	24	(3,8)
	sqc11923		I4122	98	tetragonal	{6,4,4}	24	(3,8)
	sqc6308		P4222	93	tetragonal	{4,6}	12	(2,7)
	sqc6436		P4222	93	tetragonal	{4,6}	12	(2,7)
	sqc6440		Cmma	67	orthorhombic	{6,4}	12	(2,7)
	sqc6450		Cmma	67	orthorhombic	{4,6}	12	(2,7)
	sqc6468		P4222	93	tetragonal	{4,6}	12	(2,7)
	sqc6469		Cmma	67	orthorhombic	{4,6}	12	(2,7)
	sqc6671		Cmma	67	orthorhombic	{4,6}	12	(2,7)
	sqc6689		Cmma	67	orthorhombic	{6,4}	12	(2,7)
	sqc6742		P4222	93	tetragonal	{4,6}	12	(2,7)
	sqc6744		P4222	93	tetragonal	{4,6}	12	(2,7)

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
	UQC2919	*22222a	(2,7,5)	{6,4}	{4.4.4.4}{4.4.4.4.4.4}	sqc11732	sqc11733	sqc6308
	UQC2920	*22222a	(2,7,5)	{6,4}	{4.4.4.4}{4.4.4.4.4.4}	sqc5699	sqc11764	sqc6436
	UQC2921	*22222a	(2,7,5)	{6,4}	{4.4.4.4}{4.4.4.4.4.4}	sqc11924	sqc11923	sqc6742
	UQC2922	*22222b	(2,7,5)	{6,4}	{4.4.4.4}{4.4.4.4.4.4}	sqc6688	sqc11785	sqc6671
	UQC2923	*22222b	(2,7,5)	{6,4}	{4.4.4.4}{4.4.4.4.4.4}	sqc6687	sqc11791	sqc6440
	UQC2924	*22222b	(2,7,5)	{6,4}	{4.4.4.4}{4.4.4.4.4.4}	sqc6442	sqc11845	sqc6689
	UQC2925	*22222b	(2,7,5)	{6,4}	{4.4.4.4}{4.4.4.4.4.4}	sqc6439	sqc11790	sqc6450
	UQC2926	*22222a	(2,7,5)	{6,4}	{4.4.4.4}{4.4.4.4.4.4}	sqc11554	sqc11788	sqc6468
	UQC2927	*22222a	(2,7,5)	{6,4}	{4.4.4.4}{4.4.4.4.4.4}	sqc11846	sqc11792	sqc6744
	UQC2928	*22222b	(2,7,5)	{6,4}	{4.4.4.4}{4.4.4.4.4.4}	sqc6050	sqc11793	sqc6469

Symmetry-lowered hyperbolic tilings

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