h-net: hqc2146

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,6,5)
Vertex degrees	{4,10}
2D vertex symbol	{4.4.3.4}{3.4.4.4.4.3.4.4.4.4}
Delaney-Dress Symbol	<2146.2:13:1 2 3 4 5 7 9 10 11 12 13,2 4 6 7 10 11 13,3 10 5 8 9 12 13:4 4 3 4 4,4 10>
Dual net	hqc2238

Derived s-nets

s-nets with faithful topology

19 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)
	sqc5714		Fmmm	69	orthorhombic	{4,10}	10	(2,6)
	sqc11285		I4122	98	tetragonal	{10,4,4}	20	(3,7)
	sqc11286		I4122	98	tetragonal	{10,4,4}	20	(3,7)
	sqc11288		I4122	98	tetragonal	{10,4,4}	20	(3,7)
	sqc11307		Fddd	70	orthorhombic	{10,4,4}	20	(3,7)
	sqc11308		Fddd	70	orthorhombic	{10,4,4}	20	(3,7)
	sqc11309		Fddd	70	orthorhombic	{10,4,4}	20	(3,7)
	sqc11310		I4122	98	tetragonal	{10,4,4}	20	(3,7)
	sqc11311		Fddd	70	orthorhombic	{10,4,4}	20	(3,7)
	sqc11324		Fddd	70	orthorhombic	{10,4,4}	20	(3,7)
	sqc11325		I4122	98	tetragonal	{10,4,4}	20	(3,7)
	sqc980		Pmmm	47	orthorhombic	{4,10}	5	(2,6)
	sqc5624		P42/mmc	131	tetragonal	{4,10}	10	(2,6)
	sqc5626		P4222	93	tetragonal	{10,4}	10	(2,6)
	sqc5640		P4222	93	tetragonal	{4,10}	10	(2,6)
	sqc5644		P4222	93	tetragonal	{4,10}	10	(2,6)
	sqc5715		Cmma	67	orthorhombic	{4,10}	10	(2,6)
	sqc5721		P4222	93	tetragonal	{4,10}	10	(2,6)
	sqc5750		Cmma	67	orthorhombic	{4,10}	10	(2,6)

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
	UQC2746	*22222a	(2,6,5)	{10,4}	{4.4.3.4}{3.4.4.4.4.3.4.4.4.4}	No s‑net	sqc11286	sqc5624
	UQC2747	*22222a	(2,6,5)	{10,4}	{4.4.3.4}{3.4.4.4.4.3.4.4.4.4}	sqc10680	sqc11285	sqc5626
	UQC2748	*22222b	(2,6,5)	{10,4}	{4.4.3.4}{3.4.4.4.4.3.4.4.4.4}	sqc752	sqc11324	sqc5750
	UQC2749	*22222b	(2,6,5)	{10,4}	{4.4.3.4}{3.4.4.4.4.3.4.4.4.4}	No s‑net	sqc11307	sqc980
	UQC2750	*22222b	(2,6,5)	{10,4}	{4.4.3.4}{3.4.4.4.4.3.4.4.4.4}	sqc5609	sqc11308	sqc752
	UQC2751	*22222b	(2,6,5)	{10,4}	{4.4.3.4}{3.4.4.4.4.3.4.4.4.4}	sqc752	sqc11309	sqc5715
	UQC2752	*22222b	(2,6,5)	{10,4}	{4.4.3.4}{3.4.4.4.4.3.4.4.4.4}	sqc5714	sqc11311	sqc752
	UQC2753	*22222a	(2,6,5)	{10,4}	{4.4.3.4}{3.4.4.4.4.3.4.4.4.4}	sqc10764	sqc11325	sqc5721
	UQC2754	*22222a	(2,6,5)	{10,4}	{4.4.3.4}{3.4.4.4.4.3.4.4.4.4}	sqc11268	sqc11310	sqc5640
	UQC2755	*22222a	(2,6,5)	{10,4}	{4.4.3.4}{3.4.4.4.4.3.4.4.4.4}	No s‑net	sqc11288	sqc5644

Symmetry-lowered hyperbolic tilings

show / hide