h-net: hqc896


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{4,3,9,4}
2D vertex symbol {4.4.4.4}{4.4.4}{4.4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 4, 24, 28, 132, 144, 704, 764, 3656, 3952), (3, 16, 18, 90, 99, 479, 519, 2485, 2687, 12863), (9, 12, 60, 66, 321, 348, 1665, 1800, 8616, 9318), (4, 28, 32, 152, 164, 784, 848, 4064, 4396, 21052)]
Delaney-Dress Symbol <896.2:8:2 4 6 8,1 3 4 5 7 8,1 2 5 6 7 8:4 4,4 3 9 4>
Dual net hqc691

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)
Full image sqc13331 Pm-3n 223 cubic {4,3,9,4} 44 (4,3)
Full image sqc13330 I-43d 220 cubic {4,3,9,4} 44 (4,4)
Full image sqc10955 P-43m 215 cubic {3,4,9,4} 22 (4,3)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC4218 *344 (4,3,2) {4,3,9,4} {4.4.4.4}{4.4.4}{4.4.4.4.4.4.4.4... Snet sqc13331 Snet sqc13330 Snet sqc10955

Symmetry-lowered hyperbolic tilings