h-net: hqc2039


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,6,2)
Vertex degrees{6,4,4,4}
2D vertex symbol {6.6.6.6.6.6}{6.3.3.6}{6.6.3.3}{3.3.3.3}
Vertex coordination sequence [(6, 24, 60, 126, 264, 570, 1236, 2664, 5730, 12336), (4, 8, 26, 60, 142, 310, 666, 1434, 3090, 6656), (4, 6, 12, 42, 108, 238, 508, 1092, 2360, 5088), (4, 4, 16, 40, 108, 238, 508, 1092, 2360, 5088)]
Delaney-Dress Symbol <2039.2:12:1 3 5 7 9 11 12,2 4 12 8 11 10,1 2 3 6 7 8 9 10 11 12:6 3,6 4 4 4>
Dual net hqc1998

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 sqc14232 Pm-3m 221 cubic {6,4,4,4} 68 (4,6)
Full image sqc14239 I4132 214 cubic {6,4,4,4} 68 (4,7)
Full image sqc12735 P4232 208 cubic {4,4,4,6} 34 (4,6)

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 UQC5160 *2223 (4,6,2) {6,4,4,4} {6.6.6.6.6.6}{6.3.3.6}{6.6.3.3}{... Snet sqc14232 Snet sqc14239 Snet sqc12735

Symmetry-lowered hyperbolic tilings