h-net: hqc1254


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,6,3,3}
2D vertex symbol {5.4.4.5}{5.5.4.5.5.4}{4.4.4}{5.5.5}
Vertex coordination sequence [(4, 13, 27, 73, 159, 400, 892, 2200, 4978, 12113), (6, 14, 42, 82, 228, 468, 1238, 2642, 6758, 14834), (3, 6, 21, 45, 108, 261, 606, 1440, 3363, 7974), (3, 15, 30, 87, 171, 480, 963, 2589, 5460, 14103)]
Delaney-Dress Symbol <1254.2:9:1 3 5 7 9,2 8 6 5 7 9,1 4 5 6 7 8 9:5 4,4 6 3 3>
Dual net hqc1062

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 sqc11676 P4232 208 cubic {4,6,3,3} 26 (4,4)
Full image sqc11677 I213 199 cubic {4,6,3,3} 26 (4,5)
Full image sqc11678 F-43m 216 cubic {4,6,3,3} 26 (4,4)

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 UQC4408 *2323 (4,4,2) {4,6,3,3} {5.4.4.5}{5.5.4.5.5.4}{4.4.4}{5.... Snet sqc11676 Snet sqc11677 Snet sqc11678

Symmetry-lowered hyperbolic tilings