U-tiling: UQC266
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc277 |
*22222 |
(2,3,2) |
{3,6} |
{6.6.6}{6.6.6.6.6.6} |
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) |
|
G
|
False
|
|
sqc5056
|
|
I4122 |
98 |
tetragonal |
{3,6} |
12 |
(2,4) |
|
D
|
False
|
|
sqc14577
|
|
P4/mmm |
123 |
tetragonal |
{6,3} |
3 |
(2,3) |
Topological data
| Vertex degrees | {3,6} |
| 2D vertex symbol | {6.6.6}{6.6.6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.1:96:25 4 5 12 31 10 11 37 16 17 24 49 22 23 28 29 48 34 35 60 40 41 66 73 46 47 52 53 72 79 58 59 85 64 65 91 70 71 76 77 84 82 83 88 89 96 94 95,2 15 58 6 8 21 46 12 14 70 18 20 64 24 26 39 82 30 32 51 76 36 38 94 42 44 63 48 50 88 54 56 69 60 62 66 68 72 74 87 78 80 93 84 86 90 92 96,13 3 5 18 19 9 11 24 15 17 21 23 37 27 29 42 49 33 35 54 39 41 61 45 47 66 51 53 67 57 59 72 63 65 69 71 85 75 77 90 91 81 83 96 87 89 93 95:6 6 6 6 6 6 6 6,3 6 3 6 3 6 3 6 3 3 3 3> {(0, 29): 't3', (2, 53): 'tau3*t2^-1', (0, 41): 'tau2^-1', (0, 95): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 68): 'tau3^-1*t2', (0, 59): 't2^-1', (1, 20): 't1', (0, 48): 't1^-1', (1, 86): 'tau2*t3', (2, 90): 't1^-1*tau3^-1*t2', (2, 84): 'tau2*t3', (2, 17): 't1^-1', (2, 89): 't1*tau3*t2^-1', (1, 51): 't1^-1', (2, 95): 'tau2^-1*t3^-1', (2, 54): 't2^-1*tau3', (0, 53): 'tau3', (2, 18): 't1', (2, 41): 'tau2^-1*t3^-1', (1, 62): 'tau2*t3', (0, 90): 't1^-1', (1, 69): 't1', (0, 77): 'tau1^-1', (1, 92): 't1^-1*tau3^-1*t2', (0, 23): 't1', (2, 60): 'tau2*t3', }