h-net: hqc2037

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(4,6,2)
Vertex degrees	{4,8,4,4}
2D vertex symbol	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3.3}{3.3.3.3}
Delaney-Dress Symbol	<2037.2:12:1 3 5 7 9 11 12,2 4 12 8 11 10,1 2 3 6 7 8 9 10 11 12:6 3,4 8 4 4>
Dual net	hqc2002

Derived s-nets

s-nets with faithful topology

23 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)
	sqc927		Pmmm	47	orthorhombic	{4,4,8,4}	5	(4,6)
	sqc5252		Fmmm	69	orthorhombic	{4,4,8,4}	10	(4,6)
	sqc5403		Fmmm	69	orthorhombic	{4,8,4,4}	10	(4,6)
	sqc10974		P4/mmm	123	tetragonal	{4,8,4,4}	20	(4,6)
	sqc10773		I4122	98	tetragonal	{4,8,4,4}	20	(4,7)
	sqc10827		I4122	98	tetragonal	{4,8,4,4}	20	(4,7)
	sqc10828		Fddd	70	orthorhombic	{4,8,4,4}	20	(4,7)
	sqc10841		I4122	98	tetragonal	{4,8,4,4}	20	(4,7)
	sqc10850		Fddd	70	orthorhombic	{4,8,4,4}	20	(4,7)
	sqc10851		Fddd	70	orthorhombic	{4,8,4,4}	20	(4,7)
	sqc10968		I4122	98	tetragonal	{4,8,4,4}	20	(4,7)
	sqc10971		Fddd	70	orthorhombic	{4,8,4,4}	20	(4,7)
	sqc10973		I4122	98	tetragonal	{4,8,4,4}	20	(4,7)
	sqc10985		Fddd	70	orthorhombic	{4,8,4,4}	20	(4,7)
	sqc4890		P4222	93	tetragonal	{4,8,4,4}	10	(4,6)
	sqc5125		P42/mmc	131	tetragonal	{4,4,8,4}	10	(4,6)
	sqc5149		P4222	93	tetragonal	{4,4,8,4}	10	(4,6)
	sqc5312		Cmma	67	orthorhombic	{4,8,4,4}	10	(4,6)
	sqc5383		P4222	93	tetragonal	{4,4,4,8}	10	(4,6)
	sqc5384		P4222	93	tetragonal	{8,4,4,4}	10	(4,6)
	sqc5406		Cmma	67	orthorhombic	{4,8,4,4}	10	(4,6)
	sqc5408		Cmma	67	orthorhombic	{4,4,4,8}	10	(4,6)

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
	UQC5146	*22222a	(4,6,2)	{4,8,4,4}	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3...	No s‑net	sqc10968	sqc5149
	UQC5147	*22222a	(4,6,2)	{4,8,4,4}	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3...	sqc10974	sqc10973	sqc5125
	UQC5148	*22222b	(4,6,2)	{4,8,4,4}	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3...	sqc4729	sqc10850	sqc5408
	UQC5149	*22222b	(4,6,2)	{4,8,4,4}	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3...	No s‑net	sqc10828	sqc5312
	UQC5150	*22222a	(4,6,2)	{4,8,4,4}	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3...	No s‑net	sqc10841	sqc5384
	UQC5151	*22222b	(4,6,2)	{4,8,4,4}	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3...	sqc927	sqc10971	sqc5406
	UQC5152	*22222b	(4,6,2)	{4,8,4,4}	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3...	sqc5252	sqc10851	sqc927
	UQC5153	*22222b	(4,6,2)	{4,8,4,4}	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3...	sqc5403	sqc10985	sqc927
	UQC5154	*22222a	(4,6,2)	{4,8,4,4}	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3...	sqc10682	sqc10773	sqc4890
	UQC5155	*22222a	(4,6,2)	{4,8,4,4}	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3...	sqc10685	sqc10827	sqc5383

Symmetry-lowered hyperbolic tilings

show / hide