U-tiling: UQC287
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc282 |
*22222 |
(2,3,2) |
{8,4} |
{3.6.6.3.3.6.6.3}{3.6.3.6} |
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
|
|
sqc493
|
|
P4/mmm |
123 |
tetragonal |
{4,6} |
4 |
(2,3) |
|
G
|
False
|
|
sqc4923
|
|
I4122 |
98 |
tetragonal |
{8,4} |
8 |
(2,4) |
|
D
|
False
|
|
sqc736
|
|
P42/mmc |
131 |
tetragonal |
{4,8} |
4 |
(2,3) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {3.6.6.3.3.6.6.3}{3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<7.1:96:13 3 5 18 19 9 11 24 15 17 21 23 37 27 29 42 49 33 35 54 39 41 61 45 47 66 51 53 67 57 59 72 63 65 69 71 85 75 77 90 91 81 83 96 87 89 93 95,2 15 6 11 8 21 12 14 18 23 20 24 26 39 30 47 32 51 36 59 38 42 65 44 63 48 50 54 71 56 69 60 62 66 68 72 74 87 78 83 80 93 84 86 90 95 92 96,25 4 5 60 31 10 11 48 37 16 17 72 49 22 23 66 28 29 84 34 35 78 40 41 96 73 46 47 52 53 90 79 58 59 85 64 65 91 70 71 76 77 82 83 88 89 94 95:3 6 3 3 6 3 6 3 3 3 6 3,8 4 8 8 8 4 4 4> {(0, 17): 't1^-1', (0, 60): 'tau2*t3', (2, 53): 't1^-1', (2, 48): 't1^-1', (0, 53): 'tau3*t2^-1', (0, 41): 'tau2^-1*t3^-1', (1, 88): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (1, 92): 't1^-1*tau3^-1*t2', (0, 18): 't1', (1, 82): 'tau1', (2, 17): 't1^-1', (1, 86): 'tau2*t3', (1, 64): 'tau2', (1, 68): 'tau3^-1*t2', (1, 58): 't2^-1', (1, 62): 'tau2*t3', (0, 54): 't2^-1*tau3', (1, 52): 'tau3', (1, 28): 't3', (0, 90): 't1^-1*tau3^-1*t2', (0, 95): 'tau2^-1*t3^-1', (2, 90): 't1^-1', (1, 20): 't1', (0, 84): 'tau2*t3', (1, 22): 't1', (0, 77): 't2*tau3^-1*t1^-1'}