h-net: hqc2115


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,8,4,3,8}
2D vertex symbol {24.24.24.24}{24.24.24.24.24.24.24.24}{24.3.3.24}{24.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 28, 84, 332, 804, 3324, 8244, 34668, 86724), (8, 24, 104, 264, 1080, 2664, 11160, 27864, 116712), (4, 12, 24, 120, 324, 1356, 3384, 14040, 34884, 146124), (3, 7, 16, 56, 240, 720, 2640, 7320, 26928, 75888), (8, 4, 28, 84, 396, 1044, 4236, 10404, 43452)]
Delaney-Dress Symbol <2115.2:12:2 4 6 8 10 12,1 3 5 6 9 12 11,1 2 3 4 7 8 9 10 11 12:24 3,4 8 4 3 8>
Dual net hqc1984

Derived s-nets

s-nets with faithful topology

4 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 sqc4949 I-4m2 119 tetragonal {4,8,4,3,8} 11 (5,5)
Full image sqc4944 I-4m2 119 tetragonal {4,8,4,3,8} 11 (5,5)
Full image sqc5033 I-4m2 119 tetragonal {4,8,4,3,8} 11 (5,5)

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 UQC5495 *4444 (5,5,2) {4,8,4,3,8} {24.24.24.24}{24.24.24.24.24.24.... No s‑net Snet sqc4949 Snet sqc4944
Tiling details UQC5496 *4444 (5,5,2) {4,8,4,3,8} {24.24.24.24}{24.24.24.24.24.24.... Snet sqc3928 Snet sqc4949 Snet sqc5033

Symmetry-lowered hyperbolic tilings