U-tiling: UQC206
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc207 |
*22222 |
(2,4,2) |
{4,4} |
{4.8.8.4}{8.8.8.8} |
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
|
|
sqc3853
|
|
P4/mmm |
123 |
tetragonal |
{4,3} |
12 |
(2,4) |
|
G
|
False
|
|
sqc5256
|
|
I4122 |
98 |
tetragonal |
{4,4} |
12 |
(2,4) |
|
D
|
False
|
|
sqc910
|
|
P42/mmc |
131 |
tetragonal |
{4,4} |
6 |
(2,4) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.8.8.4}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.4:96:7 3 16 17 30 9 22 23 36 19 15 42 21 54 43 27 40 41 55 33 52 53 61 39 45 64 65 78 67 51 57 70 71 84 63 90 69 96 79 75 88 89 81 94 95 91 87 93,2 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 56 57 5 60 19 44 45 11 48 68 69 17 72 62 63 23 66 37 80 81 29 84 49 74 75 35 78 92 93 41 96 61 47 86 87 53 90 67 59 65 71 85 77 91 83 89 95:8 4 4 8 8 4 4 8,4 4 4 4 4 4 4 4 4 4 4 4> {(2, 53): 't1^-1', (0, 18): 't1', (0, 95): 't1^-1', (2, 14): 't1^-1', (2, 49): 't1^-1', (0, 22): 't1', (2, 36): 'tau2^-1*t3^-1', (0, 88): 'tau2*t3', (0, 78): 'tau1', (0, 48): 'tau3', (2, 90): 'tau2^-1*t3^-1', (0, 63): 'tau2*t3', (2, 50): 't1^-1', (0, 42): 't3^-1', (2, 17): 't1^-1', (0, 54): 't2^-1', (0, 46): 't3^-1*tau2^-1', (0, 93): 't1^-1*tau3^-1*t2', (2, 0): 't1', (0, 60): 'tau2', (2, 84): 't1*tau3*t2^-1', (0, 53): 't1^-1', (0, 57): 't2^-1*tau3', (0, 90): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 21): 't1', (0, 94): 't1^-1*tau3^-1*t2', (2, 13): 't1^-1', (0, 87): 'tau2*t3', (2, 48): 'tau3*t2^-1', (0, 58): 't2^-1*tau3', }