h-net: hqc1474

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(4,5,2)
Vertex degrees	{6,3,4,4}
2D vertex symbol	{3.7.3.3.7.3}{3.7.7}{7.7.7.7}{7.7.7.7}
Delaney-Dress Symbol	<1474.2:10:1 3 5 7 9 10,2 3 4 6 8 10,1 4 5 6 7 8 9 10:3 7,6 3 4 4>
Dual net	hqc1270

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)
	sqc3655		Fmmm	69	orthorhombic	{6,4,3,4}	10	(4,5)
	sqc3759		Fmmm	69	orthorhombic	{3,4,6,4}	10	(4,5)
	sqc9767		P4/mmm	123	tetragonal	{6,3,4,4}	20	(4,5)
	sqc9562		I4122	98	tetragonal	{6,3,4,4}	20	(4,6)
	sqc9566		Fddd	70	orthorhombic	{6,3,4,4}	20	(4,6)
	sqc9592		I4122	98	tetragonal	{6,3,4,4}	20	(4,6)
	sqc9602		Fddd	70	orthorhombic	{6,3,4,4}	20	(4,6)
	sqc9605		Fddd	70	orthorhombic	{6,3,4,4}	20	(4,6)
	sqc9617		I4122	98	tetragonal	{6,3,4,4}	20	(4,6)
	sqc9703		I4122	98	tetragonal	{6,3,4,4}	20	(4,6)
	sqc9704		Fddd	70	orthorhombic	{6,3,4,4}	20	(4,6)
	sqc9705		Fddd	70	orthorhombic	{6,3,4,4}	20	(4,6)
	sqc9768		I4122	98	tetragonal	{6,3,4,4}	20	(4,6)
	sqc450		Pmmm	47	orthorhombic	{3,4,4,6}	5	(4,5)
	sqc3096		P4222	93	tetragonal	{3,4,4,6}	10	(4,5)
	sqc3145		P4222	93	tetragonal	{3,4,4,6}	10	(4,5)
	sqc3190		P4222	93	tetragonal	{6,3,4,4}	10	(4,5)
	sqc3712		Cmma	67	orthorhombic	{6,3,4,4}	10	(4,5)
	sqc3758		Cmma	67	orthorhombic	{3,6,4,4}	10	(4,5)
	sqc3760		P42/mmc	131	tetragonal	{3,6,4,4}	10	(4,5)
	sqc3761		P4222	93	tetragonal	{6,3,4,4}	10	(4,5)
	sqc3773		Cmma	67	orthorhombic	{4,3,4,6}	10	(4,5)

s-nets with edge collapse

show / hide

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
	UQC4498	*22222a	(4,5,2)	{6,3,4,4}	{3.7.3.3.7.3}{3.7.7}{7.7.7.7}{7....	No s‑net	sqc9703	sqc3096
	UQC4499	*22222a	(4,5,2)	{6,3,4,4}	{3.7.3.3.7.3}{3.7.7}{7.7.7.7}{7....	sqc9293	sqc9562	sqc3190
	UQC4500	*22222b	(4,5,2)	{6,3,4,4}	{3.7.3.3.7.3}{3.7.7}{7.7.7.7}{7....	No s‑net	sqc9566	sqc3712
	UQC4501	*22222a	(4,5,2)	{6,3,4,4}	{3.7.3.3.7.3}{3.7.7}{7.7.7.7}{7....	sqc9767	sqc9768	sqc3760
	UQC4502	*22222b	(4,5,2)	{6,3,4,4}	{3.7.3.3.7.3}{3.7.7}{7.7.7.7}{7....	sqc3655	sqc9605	sqc450
	UQC4503	*22222b	(4,5,2)	{6,3,4,4}	{3.7.3.3.7.3}{3.7.7}{7.7.7.7}{7....	sqc3759	sqc9704	sqc450
	UQC4504	*22222b	(4,5,2)	{6,3,4,4}	{3.7.3.3.7.3}{3.7.7}{7.7.7.7}{7....	sqc450	sqc9705	sqc3758
	UQC4505	*22222b	(4,5,2)	{6,3,4,4}	{3.7.3.3.7.3}{3.7.7}{7.7.7.7}{7....	sqc3076	sqc9602	sqc3773
	UQC4506	*22222a	(4,5,2)	{6,3,4,4}	{3.7.3.3.7.3}{3.7.7}{7.7.7.7}{7....	sqc9288	sqc9617	sqc3761
	UQC4507	*22222a	(4,5,2)	{6,3,4,4}	{3.7.3.3.7.3}{3.7.7}{7.7.7.7}{7....	No s‑net	sqc9592	sqc3145

Symmetry-lowered hyperbolic tilings

show / hide