h-net: hqc2121


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,24,8}
2D vertex symbol {3.3.3.3}{3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 40, 36, 284, 212, 1660, 1236, 9676, 7204, 56396), (4, 43, 64, 276, 376, 1612, 2192, 9396, 12776, 54764), (24, 24, 192, 144, 1128, 840, 6576, 4896, 38328, 28536), (8, 72, 56, 440, 328, 2568, 1912, 14968, 11144, 87240)]
Delaney-Dress Symbol <2121.2:12:2 4 6 8 10 12,3 6 5 9 12 11,1 2 3 4 7 8 9 10 11 12:3 3,4 4 24 8>
Dual net hqc2013

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 sqc14158 Im-3m 229 cubic {4,8,4,24} 46 (4,5)
Full image sqc14507 Ia-3d 230 cubic {4,4,24,8} 92 (4,6)
Full image sqc14159 Pn-3m 224 cubic {4,4,8,24} 46 (4,5)

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 UQC5206 *246 (4,5,2) {4,4,24,8} {3.3.3.3}{3.3.3.3}{3.3.3.3.3.3.3... Snet sqc14158 Snet sqc14507 Snet sqc14159

Symmetry-lowered hyperbolic tilings