U-tiling: UQC315
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
|
|
sqc4624
|
|
P4/mmm |
123 |
tetragonal |
{3,5} |
12 |
(2,3) |
|
G
|
False
|
|
sqc5189
|
|
I4122 |
98 |
tetragonal |
{3,6} |
12 |
(2,4) |
|
D
|
False
|
|
sqc842
|
|
P4222 |
93 |
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
<7.5:96:13 4 5 30 19 10 11 36 16 17 42 22 23 54 37 28 29 49 34 35 40 41 61 46 47 78 52 53 67 58 59 84 64 65 90 70 71 96 85 76 77 91 82 83 88 89 94 95,2 9 6 17 8 12 23 14 21 18 20 24 26 45 30 41 32 57 36 53 38 63 42 44 48 65 50 69 54 56 60 71 62 66 68 72 74 81 78 89 80 84 95 86 93 90 92 96,7 3 5 60 9 11 48 19 15 17 72 21 23 66 43 27 29 84 55 33 35 78 61 39 41 96 45 47 67 51 53 90 57 59 63 65 69 71 79 75 77 81 83 91 87 89 93 95:8 4 8 4 4 8 8 4,3 6 6 3 3 6 3 6 3 3 3 3> {(1, 88): 't1*tau3*t2^-1', (2, 53): 't1^-1', (0, 18): 't1', (1, 26): 't3', (2, 72): 'tau1^-1', (1, 20): 't1', (2, 54): 't2^-1', (1, 56): 't2^-1', (2, 90): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 82): 't3*tau2', (0, 23): 't1', (0, 95): 't1^-1', (0, 54): 't2^-1*tau3', (0, 60): 'tau2*t3', (0, 72): 't3^-1*tau2^-1', (2, 18): 't1', (1, 4): 't1', (1, 50): 'tau3', (1, 40): 'tau2^-1*t3^-1', (1, 62): 'tau2', (0, 90): 't1^-1*tau3^-1*t2', (2, 17): 't1^-1', (1, 80): 'tau1', (2, 48): 'tau3', (2, 42): 't3^-1', (1, 92): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 52): 'tau3*t2^-1', (2, 60): 'tau2', }