h-net: hqc1511

Topological data

Orbifold symbol	*2224
Transitivity (vertex, edge, ring)	(3,5,2)
Vertex degrees	{4,16,4}
2D vertex symbol	{4.3.3.4}{4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3}{3.3.3.3}
Vertex coordination sequence	[(4, 28, 118, 448, 1672, 6240, 23288, 86912), (16, 64, 240, 896, 3344, 12480, 46576)]
Delaney-Dress Symbol	<1511.2:10:1 3 5 7 9 10,2 10 6 9 8,1 4 5 6 7 8 9 10:4 3,4 16 4>
Dual net	hqc1426

Derived s-nets

s-nets with faithful topology

5 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)
	sqc9434		I4/mmm	139	tetragonal	{4,4,16}	14	(3,5)
	sqc12944		I41/acd	142	tetragonal	{4,16,4}	28	(3,6)
	sqc12961		I41/acd	142	tetragonal	{4,16,4}	28	(3,6)
	sqc9358		P42/nnm	134	tetragonal	{16,4,4}	14	(3,5)
	sqc9423		P42/nnm	134	tetragonal	{4,4,16}	14	(3,5)

s-nets with edge collapse

show / hide

Derived U-tilings

2 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC4148	*2224	(3,5,2)	{4,16,4}	{4.3.3.4}{4.4.3.3.4.4.3.3.4.4.3....	sqc3064	sqc12961	sqc9358
	UQC4149	*2224	(3,5,2)	{4,16,4}	{4.3.3.4}{4.4.3.3.4.4.3.3.4.4.3....	sqc9434	sqc12944	sqc9423

Symmetry-lowered hyperbolic tilings

show / hide