h-net: hqc277

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,3,2)
Vertex degrees	{3,6}
2D vertex symbol	{6.6.6}{6.6.6.6.6.6}
Delaney-Dress Symbol	<277.2:6:1 3 5 6,2 3 4 6,1 4 5 6:6 6,3 6>
Dual net	hqc267

Derived s-nets

s-nets with faithful topology

21 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)
	sqc922		Fmmm	69	orthorhombic	{6,3}	6	(2,3)
	sqc5418		P4/mmm	123	tetragonal	{3,6}	12	(2,3)
	sqc4887		I4122	98	tetragonal	{3,6}	12	(2,4)
	sqc5013		I4122	98	tetragonal	{3,6}	12	(2,4)
	sqc5056		I4122	98	tetragonal	{3,6}	12	(2,4)
	sqc5190		Fddd	70	orthorhombic	{3,6}	12	(2,4)
	sqc5191		I4122	98	tetragonal	{3,6}	12	(2,4)
	sqc5331		Fddd	70	orthorhombic	{3,6}	12	(2,4)
	sqc5332		Fddd	70	orthorhombic	{3,6}	12	(2,4)
	sqc5368		Fddd	70	orthorhombic	{3,6}	12	(2,4)
	sqc5371		Fddd	70	orthorhombic	{3,6}	12	(2,4)
	sqc5417		I4122	98	tetragonal	{3,6}	12	(2,4)
	sqc27		Pmmm	47	orthorhombic	{6,3}	3	(2,3)
	sqc797		P4222	93	tetragonal	{6,3}	6	(2,3)
	sqc841		P4222	93	tetragonal	{3,6}	6	(2,3)
	sqc923		Cmma	67	orthorhombic	{6,3}	6	(2,3)
	sqc960		Cmma	67	orthorhombic	{3,6}	6	(2,3)
	sqc961		P4222	93	tetragonal	{6,3}	6	(2,3)
	sqc14577		P4/mmm	123	tetragonal	{6,3}	3	(2,3)
	sqc14578		P4222	93	tetragonal	{3,6}	6	(2,3)

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
	UQC257	*22222a	(2,3,2)	{3,6}	{6.6.6}{6.6.6.6.6.6}	No s‑net	sqc4887	sqc14578
	UQC258	*22222a	(2,3,2)	{3,6}	{6.6.6}{6.6.6.6.6.6}	sqc4364	sqc5013	sqc797
	UQC259	*22222b	(2,3,2)	{3,6}	{6.6.6}{6.6.6.6.6.6}	sqc922	sqc5332	sqc27
	UQC260	*22222b	(2,3,2)	{3,6}	{6.6.6}{6.6.6.6.6.6}	sqc27	sqc5371	sqc960
	UQC261	*22222a	(2,3,2)	{3,6}	{6.6.6}{6.6.6.6.6.6}	sqc689	sqc5191	sqc841
	UQC262	*22222b	(2,3,2)	{3,6}	{6.6.6}{6.6.6.6.6.6}	sqc27	sqc5190	sqc923
	UQC263	*22222b	(2,3,2)	{3,6}	{6.6.6}{6.6.6.6.6.6}	sqc688	sqc5331	sqc27
	UQC264	*22222b	(2,3,2)	{3,6}	{6.6.6}{6.6.6.6.6.6}	No s‑net	sqc5368	sqc14577
	UQC265	*22222a	(2,3,2)	{3,6}	{6.6.6}{6.6.6.6.6.6}	sqc5418	sqc5417	sqc961
	UQC266	*22222a	(2,3,2)	{3,6}	{6.6.6}{6.6.6.6.6.6}	No s‑net	sqc5056	sqc14577

Symmetry-lowered hyperbolic tilings

show / hide