h-net: hqc1283

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(2,5,4)
Vertex degrees	{16,4}
2D vertex symbol	{4.4.3.3.3.3.4.4.4.4.3.3.3.3.4.4}{3.3.3.3}
Delaney-Dress Symbol	<1283.2:10:1 2 3 4 5 7 9 10,2 4 6 7 10 9,1 3 5 8 9 10:4 4 3 3,16 4>
Dual net	hqc1497

Derived s-nets

s-nets with faithful topology

3 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)
	sqc3101		C2/c	15	monoclinic	{16,4}	4	(2,6)
	sqc3102		I212121	24	orthorhombic	{16,4}	4	(2,6)
	sqc330		Pmmm	47	orthorhombic	{16,4}	2	(2,5)

s-nets with edge collapse

9 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)
	sqc43		P4/mmm	123	tetragonal	{10,4}	2	(2,3)
	sqc192		P4/mmm	123	tetragonal	{4,14}	2	(2,4)
	sqc193		Pmmm	47	orthorhombic	{14,4}	2	(2,5)
	sqc1602		C2/c	15	monoclinic	{12,4}	4	(2,5)
	sqc1652		C2/c	15	monoclinic	{12,4}	4	(2,5)
	sqc96		Cmmm	65	orthorhombic	{4,12}	2	(2,4)
	sqc1612		Imma	74	orthorhombic	{12,4}	4	(2,5)
	sqc1651		Imma	74	orthorhombic	{12,4}	4	(2,4)

Derived U-tilings

4 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC1693	*222222a	(2,5,4)	{16,4}	{4.4.3.3.3.3.4.4.4.4.3.3.3.3.4.4...	sqc43	sqc3101	sqc1612
	UQC1694	*222222b	(2,5,4)	{16,4}	{4.4.3.3.3.3.4.4.4.4.3.3.3.3.4.4...	No s‑net	sqc3102	sqc330
	UQC1695	*222222a	(2,5,4)	{16,4}	{4.4.3.3.3.3.4.4.4.4.3.3.3.3.4.4...	sqc192	sqc1602	sqc96
	UQC1696	*222222a	(2,5,4)	{16,4}	{4.4.3.3.3.3.4.4.4.4.3.3.3.3.4.4...	sqc193	sqc1652	sqc1651

Symmetry-lowered hyperbolic tilings