U-tiling: UQC81
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc9 |
*246 |
(1,1,1) |
{4} |
{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) |
|
P
|
False
|
|
sqc939
|
|
Fmmm |
69 |
orthorhombic |
{4,4,4} |
6 |
(3,4) |
|
G
|
False
|
|
sqc5298
|
|
Fddd |
70 |
orthorhombic |
{4,4,4} |
12 |
(3,4) |
|
D
|
False
|
|
sqc29
|
mot
|
P4/mmm |
123 |
tetragonal |
{4,4} |
3 |
(2,2) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {6.6.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.3:96:49 3 5 54 61 9 11 66 73 15 17 78 85 21 23 90 67 27 29 72 55 33 35 60 91 39 41 96 79 45 47 84 51 53 57 59 63 65 69 71 75 77 81 83 87 89 93 95,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96,25 8 9 16 17 60 31 22 23 72 37 20 21 84 43 96 32 33 40 41 66 46 47 54 44 45 90 78 67 62 63 76 77 61 68 69 82 83 88 89 94 95 91 86 87 85 92 93:6 6 6 6 6 6 6 6,4 4 4 4 4 4 4 4 4 4 4 4> {(2, 61): 'tau1^-1', (2, 62): 'tau1^-1', (2, 63): 't2', (2, 56): 'tau1^-1', (2, 57): 't3^-1', (2, 58): 't3^-1', (2, 59): 't3^-1', (2, 52): 't3', (2, 53): 't3', (2, 55): 'tau1^-1', (2, 51): 't3', (0, 42): 'tau2', (0, 41): 'tau3^-1', (0, 47): 'tau2', (2, 42): 't1', (2, 36): 't1', (0, 36): 'tau3^-1', (2, 29): 't2^-1', (0, 18): 'tau3', (0, 17): 'tau2^-1', (0, 23): 'tau3', (0, 12): 'tau2^-1', (2, 11): 't2', (2, 92): 't2*tau1*t3^-1', (2, 94): 't2', (2, 91): 't2*tau1*t3^-1', (2, 84): 'tau3^-1*t1^-1*tau2', (2, 86): 't2^-1*tau1^-1*t3', (2, 72): 'tau2*t1^-1*tau3^-1', (2, 73): 't3^-1*tau1*t2', (2, 69): 't2^-1', (2, 64): 't2'}