h-net: hqc893


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{3,3,12,4}
2D vertex symbol {4.4.4}{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(3, 3, 27, 33, 213, 228, 1461, 1563, 10014, 10713), (3, 21, 25, 169, 181, 1160, 1241, 7951, 8506, 54497), (12, 16, 108, 116, 744, 796, 5100, 5456, 34956, 37396), (4, 40, 44, 284, 304, 1948, 2084, 13352, 14284, 91516)]
Delaney-Dress Symbol <893.2:8:2 4 6 8,1 3 4 5 7 8,1 2 5 6 7 8:4 4,3 3 12 4>
Dual net hqc684

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 sqc13314 Pm-3n 223 cubic {3,3,12,4} 44 (4,3)
Full image sqc13315 I-43d 220 cubic {3,3,12,4} 44 (4,4)
Full image sqc10933 P-43m 215 cubic {3,4,12,3} 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 UQC4214 *344 (4,3,2) {3,3,12,4} {4.4.4}{4.4.4}{4.4.4.4.4.4.4.4.4... Snet sqc13314 Snet sqc13315 Snet sqc10933

Symmetry-lowered hyperbolic tilings