U-tiling: UQC283
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc282 |
*22222 |
(2,3,2) |
{8,4} |
{3.6.6.3.3.6.6.3}{3.6.3.6} |
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
|
|
sqc4854
|
|
I4122 |
98 |
tetragonal |
{8,4} |
8 |
(2,4) |
|
D
|
False
|
|
sqc787
|
|
P4222 |
93 |
tetragonal |
{4,8} |
4 |
(2,3) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {3.6.6.3.3.6.6.3}{3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<7.3:96:55 3 5 18 43 9 11 24 67 15 17 61 21 23 79 27 29 42 73 33 35 54 91 39 41 45 47 66 85 51 53 57 59 72 63 65 69 71 75 77 90 81 83 96 87 89 93 95,2 57 6 29 8 45 12 35 14 69 18 41 20 63 24 53 26 81 30 32 75 36 38 93 42 44 48 77 50 87 54 56 60 83 62 66 89 68 72 95 74 78 80 84 86 90 92 96,13 4 5 12 19 10 11 16 17 24 22 23 37 28 29 48 49 34 35 60 40 41 66 61 46 47 52 53 72 67 58 59 64 65 70 71 85 76 77 84 91 82 83 88 89 96 94 95:3 6 3 6 3 3 3 3 3 6 3 6,8 4 4 4 4 8 8 8> {(0, 59): 't2^-1*tau3', (2, 59): 't2^-1', (2, 53): 'tau3', (0, 48): 't1^-1', (2, 48): 'tau3*t2^-1', (2, 47): 't3^-1', (0, 47): 't3^-1*tau2^-1', (2, 36): 'tau2^-1*t3^-1', (1, 94): 't1^-1', (2, 23): 't1', (0, 23): 't1', (1, 86): 't1', (2, 12): 't1^-1', (0, 12): 't1^-1', (1, 52): 't1^-1', (0, 89): 'tau2*t3', (2, 95): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 95): 't1^-1*tau3^-1*t2', (2, 90): 'tau2^-1*t3^-1', (2, 84): 't1*tau3*t2^-1', (2, 83): 'tau1', (1, 14): 't1^-1', (2, 65): 'tau2'}