h-net: hqc2174

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,6,5)
Vertex degrees	{7,3}
2D vertex symbol	{4.4.4.6.4.4.4}{4.4.6}
Delaney-Dress Symbol	<2174.2:13:1 2 3 4 5 7 9 10 11 12 13,2 4 6 13 8 10 12,1 3 5 8 9 11 13:4 4 4 6 4,7 3>
Dual net	hqc2243

Derived s-nets

s-nets with faithful topology

22 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)
	sqc5778		Fmmm	69	orthorhombic	{3,7}	12	(2,6)
	sqc11432		P4/mmm	123	tetragonal	{7,3}	24	(2,6)
	sqc11289		I4122	98	tetragonal	{7,3,3}	24	(3,7)
	sqc11292		I4122	98	tetragonal	{7,3,3}	24	(3,7)
	sqc11334		I4122	98	tetragonal	{7,3,3}	24	(3,7)
	sqc11335		I4122	98	tetragonal	{7,3,3}	24	(3,7)
	sqc11339		Fddd	70	orthorhombic	{7,3,3}	24	(3,7)
	sqc11340		Fddd	70	orthorhombic	{7,3,3}	24	(3,7)
	sqc11349		I4122	98	tetragonal	{7,3,3}	24	(3,7)
	sqc11431		Fddd	70	orthorhombic	{7,3,3}	24	(3,7)
	sqc11433		Fddd	70	orthorhombic	{7,3,3}	24	(3,7)
	sqc11434		Fddd	70	orthorhombic	{7,3,3}	24	(3,7)
	sqc1000		Pmmm	47	orthorhombic	{3,7}	6	(2,6)
	sqc1014		Pmmm	47	orthorhombic	{7,3}	6	(2,6)
	sqc1026		Pmmm	47	orthorhombic	{3,7}	6	(2,6)
	sqc5660		P4222	93	tetragonal	{3,7}	12	(2,6)
	sqc5677		P4222	93	tetragonal	{3,7}	12	(2,6)
	sqc5768		P4222	93	tetragonal	{3,7}	12	(2,6)
	sqc5779		Cmma	67	orthorhombic	{3,7}	12	(2,6)
	sqc5788		Cmma	67	orthorhombic	{3,7}	12	(2,6)
	sqc5926		P4222	93	tetragonal	{3,7}	12	(2,6)
	sqc5930		P4222	93	tetragonal	{7,3}	12	(2,6)

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
	UQC2841	*22222a	(2,6,5)	{7,3}	{4.4.4.6.4.4.4}{4.4.6}	No s‑net	sqc11292	sqc5677
	UQC2842	*22222a	(2,6,5)	{7,3}	{4.4.4.6.4.4.4}{4.4.6}	sqc4873	sqc11289	sqc5660
	UQC2843	*22222a	(2,6,5)	{7,3}	{4.4.4.6.4.4.4}{4.4.6}	No s‑net	sqc11334	sqc5926
	UQC2844	*22222b	(2,6,5)	{7,3}	{4.4.4.6.4.4.4}{4.4.6}	sqc5778	sqc11433	sqc1000
	UQC2845	*22222b	(2,6,5)	{7,3}	{4.4.4.6.4.4.4}{4.4.6}	sqc1000	sqc11339	sqc5779
	UQC2846	*22222b	(2,6,5)	{7,3}	{4.4.4.6.4.4.4}{4.4.6}	No s‑net	sqc11340	sqc1014
	UQC2847	*22222b	(2,6,5)	{7,3}	{4.4.4.6.4.4.4}{4.4.6}	sqc5044	sqc11431	sqc1026
	UQC2848	*22222b	(2,6,5)	{7,3}	{4.4.4.6.4.4.4}{4.4.6}	sqc1000	sqc11434	sqc5788
	UQC2849	*22222a	(2,6,5)	{7,3}	{4.4.4.6.4.4.4}{4.4.6}	sqc11047	sqc11349	sqc5768
	UQC2850	*22222a	(2,6,5)	{7,3}	{4.4.4.6.4.4.4}{4.4.6}	sqc11432	sqc11335	sqc5930

Symmetry-lowered hyperbolic tilings

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