h-net: hqc1739

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(2,6,4)
Vertex degrees	{5,12}
2D vertex symbol	{4.4.3.4.4}{4.4.4.4.3.3.4.4.4.4.3.3}
Delaney-Dress Symbol	<1739.2:11:1 2 3 5 7 8 9 10 11,2 4 9 6 8 11,1 3 6 7 8 10 11:4 4 3 4,5 12>
Dual net	hqc1786

Derived s-nets

s-nets with faithful topology

7 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)
	sqc532		Pmmm	47	orthorhombic	{12,5}	3	(2,6)
	sqc4024		C2/c	15	monoclinic	{12,5}	6	(2,7)
	sqc4026		C2/c	15	monoclinic	{12,5}	6	(2,7)
	sqc4027		I212121	24	orthorhombic	{12,5}	6	(2,7)
	sqc4162		C2/c	15	monoclinic	{12,5}	6	(2,7)
	sqc536		Pmmm	47	orthorhombic	{5,12}	3	(2,6)
	sqc4023		Imma	74	orthorhombic	{12,5}	6	(2,6)

s-nets with edge collapse

show / hide

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
	UQC2248	*222222a	(2,6,4)	{5,12}	{4.4.3.4.4}{4.4.4.4.3.3.4.4.4.4....	sqc352	sqc4026	sqc3152
	UQC2249	*222222a	(2,6,4)	{5,12}	{4.4.3.4.4}{4.4.4.4.3.3.4.4.4.4....	sqc532	sqc4162	sqc2418
	UQC2250	*222222b	(2,6,4)	{5,12}	{4.4.3.4.4}{4.4.4.4.3.3.4.4.4.4....	sqc1695	sqc4027	sqc536
	UQC2251	*222222a	(2,6,4)	{5,12}	{4.4.3.4.4}{4.4.4.4.3.3.4.4.4.4....	sqc430	sqc4024	sqc4023

Symmetry-lowered hyperbolic tilings

show / hide