U-tiling: UQC253
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc275 |
*2244 |
(2,3,2) |
{12,3} |
{3.12.3.3.12.3.3.12.3.3.12.3}{3.... |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
False
|
|
sqc737
|
|
P4/mmm |
123 |
tetragonal |
{3,12} |
5 |
(2,3) |
|
G
|
False
|
|
sqc4919
|
|
I41/a |
88 |
tetragonal |
{12,3} |
10 |
(2,4) |
|
D
|
False
|
|
sqc4920
|
|
I41/amd |
141 |
tetragonal |
{12,3} |
10 |
(2,3) |
Topological data
| Vertex degrees | {12,3} |
| 2D vertex symbol | {3.12.3.3.12.3.3.12.3.3.12.3}{3.12.12} |
| Dual tiling | (self dual) |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.1:96:7 3 5 42 9 11 48 25 15 17 54 31 21 23 66 27 29 72 33 35 60 43 39 41 45 47 67 51 53 61 57 59 63 65 69 71 85 75 77 96 91 81 83 90 87 89 93 95,2 9 16 6 8 22 12 14 27 18 20 33 24 26 82 30 32 94 36 38 45 58 42 44 70 48 50 69 76 54 56 63 60 62 88 66 68 72 74 87 78 80 93 84 86 90 92 96,37 4 5 12 43 10 11 49 16 17 30 61 22 23 36 67 28 29 55 34 35 40 41 48 46 47 52 53 72 58 59 66 64 65 70 71 91 76 77 90 85 82 83 96 88 89 94 95:3 12 12 3 3 3 3 3 3 3,12 3 12 3 3 3 3 3 3 3> {(2, 60): 't2*tau3^-1', (0, 60): 't2', (2, 59): 't2^-1', (2, 53): 't3', (0, 48): 't3', (2, 42): 't1', (2, 36): 't1', (2, 35): 't2^-1', (2, 29): 't3^-1', (2, 30): 't2^-1*tau3', (2, 24): 't3^-1*tau2^-1', (1, 92): 'tau1', (0, 18): 't2', (1, 86): 'tau1^-1', (2, 12): 'tau2^-1*t3^-1', (0, 12): 't3', (1, 56): 't2^-1', (1, 50): 't3', (1, 32): 't2^-1', (0, 90): 'tau1', (1, 26): 't3^-1', (2, 89): 'tau1^-1', (2, 84): 't2*tau3^-1*t1^-1*tau2*t3', (0, 84): 'tau1^-1', (2, 83): 'tau1^-1', (2, 72): 't3*tau2*t1^-1*tau3^-1*t2'}