U-tiling: UQC320
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc291 |
*22222 |
(2,3,2) |
{3,6} |
{8.4.8}{8.8.4.8.8.4} |
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
|
|
sqc708
|
|
P4/mmm |
123 |
tetragonal |
{3,5} |
6 |
(2,3) |
|
G
|
False
|
|
sqc5177
|
|
I4122 |
98 |
tetragonal |
{3,6} |
12 |
(2,4) |
|
D
|
False
|
|
sqc794
|
|
P42/mmc |
131 |
tetragonal |
{6,3} |
6 |
(2,3) |
Topological data
| Vertex degrees | {3,6} |
| 2D vertex symbol | {8.4.8}{8.8.4.8.8.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<7.4:96:7 4 5 18 10 11 24 19 16 17 22 23 43 28 29 42 55 34 35 54 61 40 41 46 47 66 67 52 53 58 59 72 64 65 70 71 79 76 77 90 82 83 96 91 88 89 94 95,2 15 6 59 8 21 12 47 14 18 71 20 24 65 26 39 30 83 32 51 36 77 38 42 95 44 63 48 50 54 89 56 69 60 62 66 68 72 74 87 78 80 93 84 86 90 92 96,13 3 5 30 19 9 11 36 15 17 42 21 23 54 37 27 29 49 33 35 39 41 61 45 47 78 51 53 67 57 59 84 63 65 90 69 71 96 85 75 77 91 81 83 87 89 93 95:8 4 4 8 4 8 4 8,3 6 3 6 6 6 3 3 3 3 3 3> {(1, 88): 't1', (2, 53): 't1^-1', (0, 18): 't1', (0, 95): 't1^-1*tau3^-1*t2', (2, 36): 'tau2^-1*t3^-1', (0, 59): 't2^-1*tau3', (1, 2): 't1', (0, 48): 'tau3', (1, 86): 't1*tau3*t2^-1', (2, 90): 'tau2^-1*t3^-1', (0, 89): 'tau2*t3', (0, 42): 't3^-1', (0, 23): 't1', (0, 54): 't2^-1', (2, 95): 't1^-1', (1, 32): 't2*tau3^-1', (0, 60): 'tau2', (2, 84): 't1*tau3*t2^-1', (0, 72): 'tau1^-1', (2, 12): 't1^-1', (1, 70): 't1', (0, 47): 't3^-1*tau2^-1', (0, 90): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 48): 'tau3*t2^-1', (1, 38): 'tau2^-1*t3^-1', (1, 92): 'tau2^-1*t3^-1', }