U-tiling: UQC233
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc267 |
*22222 |
(2,3,2) |
{6,6} |
{3.6.3.3.6.3}{3.6.6.3.6.6} |
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
|
|
sqc4363
|
|
P4/mmm |
123 |
tetragonal |
{6,5} |
8 |
(2,3) |
|
G
|
False
|
|
sqc5089
|
|
I4122 |
98 |
tetragonal |
{6,6} |
8 |
(2,4) |
|
D
|
False
|
|
sqc795
|
|
P4222 |
93 |
tetragonal |
{6,6} |
4 |
(2,3) |
Topological data
| Vertex degrees | {6,6} |
| 2D vertex symbol | {3.6.3.3.6.3}{3.6.6.3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.4:96:13 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 95,2 15 16 6 8 21 22 12 14 18 20 24 26 39 40 30 32 51 52 36 38 42 44 63 64 48 50 54 56 69 70 60 62 66 68 72 74 87 88 78 80 93 94 84 86 90 92 96,7 4 5 60 10 11 48 19 16 17 72 22 23 66 43 28 29 84 55 34 35 78 61 40 41 96 46 47 67 52 53 90 58 59 64 65 70 71 79 76 77 82 83 91 88 89 94 95:3 6 3 6 3 3 3 6 3 6 3 3,6 6 6 6 6 6 6 6> {(2, 60): 'tau2', (2, 53): 't1^-1', (0, 48): 'tau3*t2^-1', (2, 48): 'tau3', (2, 17): 't1^-1', (2, 18): 't1', (2, 42): 't3^-1', (0, 36): 'tau2^-1*t3^-1', (1, 92): 'tau2^-1*t3^-1', (1, 81): 't2^-1*tau3*t1', (0, 23): 't1', (1, 87): 'tau2*t3', (1, 86): 't1*tau3*t2^-1', (0, 12): 't1^-1', (1, 69): 'tau3^-1*t2', (2, 54): 't2^-1', (1, 63): 'tau2*t3', (1, 32): 't2*tau3^-1', (1, 38): 'tau2^-1*t3^-1', (0, 90): 'tau2^-1*t3^-1', (0, 95): 't1^-1', (2, 90): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 21): 't1', (0, 84): 't1*tau3*t2^-1', (2, 72): 'tau1^-1', (1, 2): 't1'}