h-net: hqc878


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,18,8}
2D vertex symbol {4.3.3}{4.3.3.4.3.3.4.3.3.4.3.3.4.3.3.4.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(3, 33, 55, 205, 323, 1197, 1883, 6977, 10975, 40665), (18, 24, 138, 144, 810, 840, 4722, 4896, 27522, 28536), (8, 52, 56, 316, 328, 1844, 1912, 10748, 11144, 62644)]
Delaney-Dress Symbol <878.2:8:2 4 6 8,1 2 5 8 7,3 4 5 6 7 8:4 3,3 18 8>
Dual net hqc660

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 sqc13297 Im-3m 229 cubic {3,8,18} 34 (3,3)
Full image sqc14409 Ia-3d 230 cubic {3,18,8} 68 (3,4)
Full image sqc13298 Pn-3m 224 cubic {8,3,18} 34 (3,3)

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 UQC3826 *246 (3,3,2) {3,18,8} {4.3.3}{4.3.3.4.3.3.4.3.3.4.3.3.... Snet sqc13297 Snet sqc14409 Snet sqc13298

Symmetry-lowered hyperbolic tilings