h-net: hqc1735

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(2,6,4)
Vertex degrees	{16,3}
2D vertex symbol	{4.3.4.4.4.4.3.4.4.3.4.4.4.4.3.4}{3.4.4}
Delaney-Dress Symbol	<1735.2:11:1 2 3 5 7 8 9 10 11,2 4 5 8 11 10,1 3 6 7 9 10 11:4 3 4 4,16 3>
Dual net	hqc1775

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)
	sqc4016		Fddd	70	orthorhombic	{3,16}	6	(2,5)
	sqc4018		I4122	98	tetragonal	{3,16}	6	(2,5)
	sqc529		P222	16	orthorhombic	{3,16}	3	(2,6)

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)
	sqc102		Pmmm	47	orthorhombic	{10,3}	3	(2,5)
	sqc3136		Cmma	67	orthorhombic	{3,14}	6	(2,6)
	sqc3137		Cmma	67	orthorhombic	{3,14}	6	(2,6)
	sqc2361		C2/c	15	monoclinic	{3,12}	6	(2,6)
	sqc2363		C2/c	15	monoclinic	{3,12}	6	(2,6)
	sqc2316		Imma	74	orthorhombic	{3,12}	6	(2,5)
	sqc2331		Imma	74	orthorhombic	{3,12}	6	(2,6)
	sqc2354		Imma	74	orthorhombic	{12,3}	6	(2,5)

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
	UQC2226	*222222a	(2,6,4)	{16,3}	{4.3.4.4.4.4.3.4.4.3.4.4.4.4.3.4...	No s‑net	sqc4016	sqc2331
	UQC2227	*222222a	(2,6,4)	{16,3}	{4.3.4.4.4.4.3.4.4.3.4.4.4.4.3.4...	sqc3137	sqc2361	sqc2354
	UQC2228	*222222b	(2,6,4)	{16,3}	{4.3.4.4.4.4.3.4.4.3.4.4.4.4.3.4...	sqc102	sqc4018	sqc529
	UQC2229	*222222a	(2,6,4)	{16,3}	{4.3.4.4.4.4.3.4.4.3.4.4.4.4.3.4...	sqc3136	sqc2363	sqc2316

Symmetry-lowered hyperbolic tilings