h-net: hqc1215


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{12,3,3,6}
2D vertex symbol {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.5}{5.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(12, 78, 390, 1878, 8994, 43098, 206490), (3, 14, 78, 388, 1875, 8994, 43098, 206490), (3, 7, 24, 127, 643, 3105, 14884, 71310), (6, 6, 6, 54, 318, 1554, 7440, 35658, 170832)]
Delaney-Dress Symbol <1215.2:9:1 3 5 7 9,2 4 5 6 8 9,1 2 3 6 7 8 9:5 4,12 3 3 6>
Dual net hqc977

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 sqc13608 Pn-3m 224 cubic {12,3,3,6} 56 (4,4)
Full image sqc13598 Ia-3 206 cubic {12,3,3,6} 56 (4,5)
Full image sqc13597 Fd-3m 227 cubic {12,3,3,6} 56 (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 UQC4334 *266 (4,4,2) {12,3,3,6} {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.5}... Snet sqc13608 Snet sqc13598 Snet sqc13597

Symmetry-lowered hyperbolic tilings