U-tiling: UQC198
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc206 |
*22222 |
(2,4,2) |
{8,4} |
{4.4.4.4.4.4.4.4}{4.4.4.4} |
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
|
|
sqc3664
|
|
P4/mmm |
123 |
tetragonal |
{6,4} |
8 |
(2,4) |
|
G
|
False
|
|
sqc5259
|
|
I4122 |
98 |
tetragonal |
{8,4} |
8 |
(2,4) |
|
D
|
False
|
|
sqc898
|
|
P4222 |
93 |
tetragonal |
{4,8} |
4 |
(2,4) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.3:96:55 26 27 5 30 43 32 33 11 36 67 38 39 17 42 61 50 51 23 54 79 29 73 35 91 41 74 75 47 78 85 53 80 81 59 84 86 87 65 90 92 93 71 96 77 83 89 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 96,13 3 10 11 18 19 9 24 15 22 23 21 37 27 46 47 42 49 33 58 59 54 39 64 65 61 45 66 51 70 71 67 57 72 63 69 85 75 82 83 90 91 81 96 87 94 95 93:4 4 4 4 4 4 4 4 4 4 4 4,8 4 8 4 8 4 8 4> {(2, 63): 'tau2', (2, 57): 't2^-1', (2, 58): 't2^-1', (2, 59): 't2^-1*tau3', (2, 52): 'tau3', (0, 48): 't1^-1', (0, 49): 't1^-1', (2, 48): '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, 36): 'tau2^-1*t3^-1', (2, 90): 'tau2^-1*t3^-1', (2, 22): 't1', (2, 23): 't1', (0, 23): 't1', (0, 20): 't1', (2, 12): 't1^-1', (2, 15): 't1^-1', (0, 12): 't1^-1', (2, 93): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 91): 't1^-1', (2, 94): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 95): 't1^-1*tau3^-1*t2', (2, 89): 'tau2*t3', (0, 92): 't1^-1', (2, 84): 't1*tau3*t2^-1', (2, 82): 'tau1', (2, 75): 'tau1^-1', (0, 71): 't1'}