h-net: hqc1804


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,6,6,4}
2D vertex symbol {3.4.4.3}{3.4.4.3.4.4}{4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 12, 18, 44, 62, 146, 212, 480, 722, 1582), (6, 8, 26, 32, 86, 112, 282, 384, 926, 1312), (6, 12, 30, 42, 102, 144, 336, 492, 1104, 1674), (4, 16, 20, 56, 72, 184, 248, 604, 848, 1984)]
Delaney-Dress Symbol <1804.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,4 6 6 4>
Dual net hqc1653

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 sqc14091 Pm-3m 221 cubic {4,6,6,4} 56 (4,5)
Full image sqc14093 I4132 214 cubic {4,6,6,4} 56 (4,6)
Full image sqc12526 P4232 208 cubic {6,4,4,6} 28 (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 UQC4933 *2223 (4,5,2) {4,6,6,4} {3.4.4.3}{3.4.4.3.4.4}{4.4.4.4.4... Snet sqc14091 Snet sqc14093 Snet sqc12526

Symmetry-lowered hyperbolic tilings