h-net: hqc2219

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(5,6,2)
Vertex degrees	{4,6,4,4,4}
2D vertex symbol	{3.5.5.3}{3.5.5.3.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5}
Delaney-Dress Symbol	<2219.2:13:1 3 5 7 9 11 13,2 3 6 13 8 10 12,1 4 5 6 7 8 9 10 11 12 13:3 5,4 6 4 4 4>
Dual net	hqc2130

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)
	sqc6002		Fmmm	69	orthorhombic	{4,4,6,4,4}	12	(5,6)
	sqc6004		Fmmm	69	orthorhombic	{4,4,4,4,6}	12	(5,6)
	sqc6005		Fmmm	69	orthorhombic	{4,4,6,4,4}	12	(5,6)
	sqc6006		Fmmm	69	orthorhombic	{4,4,4,6,4}	12	(5,6)
	sqc6081		Fmmm	69	orthorhombic	{6,4,4,4,4}	12	(5,6)
	sqc11354		P4/mmm	123	tetragonal	{4,6,4,4,4}	24	(5,6)
	sqc11386		P4/mmm	123	tetragonal	{4,6,4,4,4}	24	(5,6)
	sqc11405		P4/mmm	123	tetragonal	{4,6,4,4,4}	24	(5,6)
	sqc11415		P4/mmm	123	tetragonal	{4,6,4,4,4}	24	(5,6)
	sqc11500		P4/mmm	123	tetragonal	{4,6,4,4,4}	24	(5,6)
	sqc11387		I4122	98	tetragonal	{4,6,4,4,4}	24	(5,7)
	sqc11399		I4122	98	tetragonal	{4,6,4,4,4}	24	(5,7)
	sqc11406		I4122	98	tetragonal	{4,6,4,4,4}	24	(5,7)
	sqc11411		I4122	98	tetragonal	{4,6,4,4,4}	24	(5,7)
	sqc11501		I4122	98	tetragonal	{4,6,4,4,4}	24	(5,7)
	sqc11502		Fddd	70	orthorhombic	{4,6,4,4,4}	24	(5,7)
	sqc11503		Fddd	70	orthorhombic	{4,6,4,4,4}	24	(5,7)
	sqc11504		Fddd	70	orthorhombic	{4,6,4,4,4}	24	(5,7)
	sqc11505		Fddd	70	orthorhombic	{4,6,4,4,4}	24	(5,7)
	sqc11506		Fddd	70	orthorhombic	{4,6,4,4,4}	24	(5,7)
	sqc5762		P4222	93	tetragonal	{4,4,4,4,6}	12	(5,6)
	sqc5782		P4222	93	tetragonal	{4,4,4,6,4}	12	(5,6)
	sqc5810		P4222	93	tetragonal	{4,4,4,4,6}	12	(5,6)
	sqc5811		Cmma	67	orthorhombic	{4,4,4,4,6}	12	(5,6)
	sqc5970		P4222	93	tetragonal	{4,4,6,4,4}	12	(5,6)
	sqc5971		P4222	93	tetragonal	{4,4,4,6,4}	12	(5,6)
	sqc5972		Cmma	67	orthorhombic	{4,6,4,4,4}	12	(5,6)
	sqc6001		Cmma	67	orthorhombic	{4,4,4,6,4}	12	(5,6)
	sqc6003		Cmma	67	orthorhombic	{4,6,4,4,4}	12	(5,6)
	sqc6080		Cmma	67	orthorhombic	{4,4,4,4,6}	12	(5,6)

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
	UQC5561	*22222a	(5,6,2)	{4,6,4,4,4}	{3.5.5.3}{3.5.5.3.5.5}{5.5.5.5}{...	sqc11415	sqc11411	sqc5782
	UQC5562	*22222a	(5,6,2)	{4,6,4,4,4}	{3.5.5.3}{3.5.5.3.5.5}{5.5.5.5}{...	sqc11405	sqc11406	sqc5810
	UQC5563	*22222b	(5,6,2)	{4,6,4,4,4}	{3.5.5.3}{3.5.5.3.5.5}{5.5.5.5}{...	sqc6081	sqc11505	sqc6003
	UQC5564	*22222a	(5,6,2)	{4,6,4,4,4}	{3.5.5.3}{3.5.5.3.5.5}{5.5.5.5}{...	sqc11500	sqc11501	sqc5970
	UQC5565	*22222a	(5,6,2)	{4,6,4,4,4}	{3.5.5.3}{3.5.5.3.5.5}{5.5.5.5}{...	sqc11354	sqc11399	sqc5971
	UQC5566	*22222b	(5,6,2)	{4,6,4,4,4}	{3.5.5.3}{3.5.5.3.5.5}{5.5.5.5}{...	sqc6005	sqc11502	sqc6001
	UQC5567	*22222b	(5,6,2)	{4,6,4,4,4}	{3.5.5.3}{3.5.5.3.5.5}{5.5.5.5}{...	sqc6002	sqc11504	sqc5972
	UQC5568	*22222b	(5,6,2)	{4,6,4,4,4}	{3.5.5.3}{3.5.5.3.5.5}{5.5.5.5}{...	sqc6006	sqc11506	sqc6080
	UQC5569	*22222b	(5,6,2)	{4,6,4,4,4}	{3.5.5.3}{3.5.5.3.5.5}{5.5.5.5}{...	sqc6004	sqc11503	sqc5811
	UQC5570	*22222a	(5,6,2)	{4,6,4,4,4}	{3.5.5.3}{3.5.5.3.5.5}{5.5.5.5}{...	sqc11386	sqc11387	sqc5762

Symmetry-lowered hyperbolic tilings

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