h-net: hqc1526


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,12,4,4}
2D vertex symbol {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(3, 22, 27, 143, 164, 840, 956, 4896, 5572, 28536), (12, 16, 84, 96, 492, 560, 2868, 3264, 16716, 19024), (4, 6, 40, 48, 246, 280, 1434, 1632, 8358, 9512), (4, 24, 28, 144, 164, 840, 956, 4896, 5572, 28536)]
Delaney-Dress Symbol <1526.2:10:2 4 6 8 10,1 2 5 10 7 9,3 4 5 6 7 8 9 10:4 4,3 12 4 4>
Dual net hqc1289

Derived s-nets

s-nets with faithful topology

6 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 sqc3370 P4/mmm 123 tetragonal {3,4,4,12} 9 (4,4)
Full image sqc9715 I4/mmm 139 tetragonal {4,4,12,3} 18 (4,4)
Full image sqc12965 I41/acd 142 tetragonal {3,12,4,4} 36 (4,5)
Full image sqc12966 I41/acd 142 tetragonal {3,12,4,4} 36 (4,5)
Full image sqc9645 P42/nnm 134 tetragonal {3,4,4,12} 18 (4,4)
Full image sqc9685 P42/nnm 134 tetragonal {4,4,3,12} 18 (4,4)

s-nets with edge collapse

No items to display.

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 UQC4682 *2224 (4,4,2) {3,12,4,4} {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}... Snet sqc3370 Snet sqc12966 Snet sqc9685
Tiling details UQC4683 *2224 (4,4,2) {3,12,4,4} {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}... Snet sqc9715 Snet sqc12965 Snet sqc9645

Symmetry-lowered hyperbolic tilings