h-net: hqc2104


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{6,4,4,3,12}
2D vertex symbol {6.6.6.6.6.6}{6.6.6.6}{6.3.3.6}{6.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(6, 18, 54, 120, 246, 552, 1194, 2670, 5706, 12768), (4, 16, 44, 84, 188, 412, 928, 1968, 4404, 9448), (4, 12, 16, 40, 98, 228, 460, 1034, 2234, 5006), (3, 11, 9, 25, 74, 162, 321, 715, 1607, 3477), (12, 6, 12, 42, 114, 198, 444, 990, 2232, 4710)]
Delaney-Dress Symbol <2104.2:12:2 4 6 8 10 12,1 3 5 6 9 12 11,1 2 3 4 7 8 9 10 11 12:6 3,6 4 4 3 12>
Dual net hqc1991

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 sqc14245 Pn-3m 224 cubic {6,4,4,3,12} 68 (5,5)
Full image sqc14166 Ia-3 206 cubic {6,4,4,3,12} 68 (5,6)
Full image sqc14165 Fd-3m 227 cubic {6,4,4,3,12} 68 (5,5)

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 UQC5478 *266 (5,5,2) {6,4,4,3,12} {6.6.6.6.6.6}{6.6.6.6}{6.3.3.6}{... Snet sqc14245 Snet sqc14166 Snet sqc14165

Symmetry-lowered hyperbolic tilings