h-net: hqc681


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(2,3,4)
Vertex degrees{4,16}
2D vertex symbol {3.3.3.3}{3.3.4.3.3.3.4.3.3.3.4.3.3.3.4.3}
Vertex coordination sequence [(4, 25, 152, 791, 4101, 21236, 109983), (16, 96, 504, 2612, 13524, 70044)]
Delaney-Dress Symbol <681.2:8:1 2 4 6 7 8,1 3 4 5 7 8,2 5 6 8:3 3 3 4,4 16>
Dual net hqc906

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 sqc13289 Pm-3n 223 cubic {4,16} 30 (2,3)
Full image sqc13283 I-43d 220 cubic {4,16} 30 (2,4)
Full image sqc10739 P-43m 215 cubic {4,16} 15 (2,3)

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 UQC1374 *344 (2,3,4) {4,16} {3.3.3.3}{3.3.4.3.3.3.4.3.3.3.4.... Snet sqc13289 Snet sqc13283 Snet sqc10739

Symmetry-lowered hyperbolic tilings