U-tiling: UQC82
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
|
True
|
|
sqc4504
|
|
P4/mmm |
123 |
tetragonal |
{4,4,3} |
12 |
(3,4) |
|
G
|
False
|
|
sqc5290
|
|
I4122 |
98 |
tetragonal |
{4,4,4} |
12 |
(3,4) |
|
D
|
False
|
|
sqc856
|
|
P4222 |
93 |
tetragonal |
{4,4,4} |
6 |
(3,4) |
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
<2.2:96:25 3 5 30 31 9 11 36 37 15 17 42 49 21 23 54 27 29 33 35 39 41 73 45 47 78 51 53 79 57 59 84 85 63 65 90 91 69 71 96 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 96,55 14 15 10 11 18 43 20 21 24 67 22 23 61 79 38 39 46 47 42 73 50 51 58 59 54 91 64 65 62 63 66 85 70 71 68 69 72 86 87 82 83 90 92 93 96 94 95:6 6 6 6 6 6 6 6,4 4 4 4 4 4 4 4 4 4 4 4> {(2, 63): 'tau2', (2, 57): 't2^-1', (2, 58): 't2^-1', (2, 59): 't2^-1*tau3', (2, 52): 'tau3', (0, 48): 't1^-1', (2, 48): 't1^-1', (2, 49): 'tau3*t2^-1', (2, 50): 'tau3*t2^-1', (2, 51): 'tau3', (2, 45): 't3^-1', (2, 46): 't3^-1', (2, 47): 't3^-1*tau2^-1', (2, 40): 'tau2^-1', (2, 37): 'tau2^-1*t3^-1', (2, 38): 'tau2^-1*t3^-1', (2, 21): 't1', (2, 22): 't1', (2, 23): 't1', (0, 23): 't1', (2, 12): 't1^-1', (2, 13): 't1^-1', (2, 14): 't1^-1', (2, 92): 'tau2^-1*t3^-1', (0, 90): 't1^-1', (2, 93): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 94): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 95): 't1^-1*tau3^-1*t2', (2, 89): 'tau2*t3', (2, 91): 'tau2^-1*t3^-1', (2, 85): 't1*tau3*t2^-1', (2, 86): 't1*tau3*t2^-1', (2, 81): 'tau1', (2, 82): 'tau1', (0, 71): 't1'}