h-net: hqc2061


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,8,3,4,4}
2D vertex symbol {4.4.4}{4.4.4.4.4.4.4.4}{4.4.4}{4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(3, 18, 21, 69, 66, 219, 213, 714, 699, 2331), (8, 10, 36, 36, 122, 120, 400, 390, 1300, 1268), (3, 14, 15, 52, 51, 172, 169, 565, 552, 1839), (4, 16, 16, 56, 56, 188, 184, 612, 596, 1988), (4, 6, 24, 24, 80, 78, 264, 260, 866, 844)]
Delaney-Dress Symbol <2061.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,3 8 3 4 4>
Dual net hqc1934

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 sqc14203 Pm-3m 221 cubic {3,8,3,4,4} 68 (5,5)
Full image sqc14204 I4132 214 cubic {3,8,3,4,4} 68 (5,6)
Full image sqc12691 P4232 208 cubic {4,4,3,3,8} 34 (5,5)

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 UQC5412 *2223 (5,5,2) {3,8,3,4,4} {4.4.4}{4.4.4.4.4.4.4.4}{4.4.4}{... Snet sqc14203 Snet sqc14204 Snet sqc12691

Symmetry-lowered hyperbolic tilings