h-net: hqc1998


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,6,4)
Vertex degrees{3,6}
2D vertex symbol {4.4.4}{4.6.6.4.4.4}
Vertex coordination sequence [(6, 18, 42, 90, 188, 392, 816, 1698, 3534, 7354), (3, 6, 16, 41, 90, 188, 392, 816, 1698, 3534)]
Delaney-Dress Symbol <1998.2:12:1 2 3 5 7 8 9 10 11 12,2 4 10 8 9 12,3 8 6 7 9 11 12:4 4 4 6,3 6>
Dual net hqc2039

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 sqc14233 Pm-3m 221 cubic {6,3} 72 (2,6)
Full image sqc14237 I4132 214 cubic {6,3,3} 72 (3,7)
Full image sqc12731 P4232 208 cubic {6,3} 36 (2,6)

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 UQC2327 *2223 (2,6,4) {6,3} {4.4.4}{4.6.6.4.4.4} Snet sqc14233 Snet sqc14237 Snet sqc12731

Symmetry-lowered hyperbolic tilings