h-net: hqc2235


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{8,4,3,4,4}
2D vertex symbol {5.5.5.5.5.5.5.5}{5.4.4.5}{5.4.4}{4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(8, 40, 136, 424, 1296, 4000, 12368, 38240, 118184), (4, 12, 42, 140, 454, 1414, 4376, 13518, 41782), (3, 7, 18, 65, 215, 690, 2137, 6612, 20425, 63138), (4, 8, 20, 76, 260, 832, 2564, 7916, 24470, 75646), (4, 6, 10, 30, 120, 400, 1260, 3870, 11960, 36978)]
Delaney-Dress Symbol <2235.2:13:1 3 5 7 9 11 13,2 4 5 8 13 10 12,1 2 3 6 7 8 9 10 11 12 13:5 4,8 4 3 4 4>
Dual net hqc2148

Derived s-nets

s-nets with faithful topology

5 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 sqc11332 I4/mmm 139 tetragonal {3,4,4,4,8} 26 (5,6)
Full image sqc13553 I41/acd 142 tetragonal {8,4,3,4,4} 52 (5,7)
Full image sqc13554 I41/acd 142 tetragonal {8,4,3,4,4} 52 (5,7)
Full image sqc11287 P42/nnm 134 tetragonal {3,4,4,4,8} 26 (5,6)
Full image sqc11323 P42/nnm 134 tetragonal {4,4,4,3,8} 26 (5,6)

s-nets with edge collapse


Derived U-tilings

2 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC5637 *2224 (5,6,2) {8,4,3,4,4} {5.5.5.5.5.5.5.5}{5.4.4.5}{5.4.4... Snet sqc5610 Snet sqc13554 Snet sqc11287
Tiling details UQC5638 *2224 (5,6,2) {8,4,3,4,4} {5.5.5.5.5.5.5.5}{5.4.4.5}{5.4.4... Snet sqc11332 Snet sqc13553 Snet sqc11323

Symmetry-lowered hyperbolic tilings