U-tiling: UQC89
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc63 |
*2323 |
(2,2,2) |
{6,3} |
{3.6.6.3.6.6}{6.6.6} |
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
|
False
|
|
sqc5410
|
|
P4232 |
208 |
cubic |
{6,3} |
10 |
(2,2) |
|
G
|
False
|
|
sqc5416
|
|
I213 |
199 |
cubic |
{6,3} |
10 |
(2,2) |
|
D
|
False
|
|
sqc5411
|
|
F-43m |
216 |
cubic |
{6,3} |
10 |
(2,2) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {3.6.6.3.6.6}{6.6.6} |
| Dual tiling | (self dual) |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:96:13 14 4 21 22 8 49 50 12 16 73 74 20 24 85 86 28 41 42 32 57 58 36 65 66 40 44 77 78 48 52 89 90 56 60 81 82 64 68 93 94 72 76 80 84 88 92 96,29 3 8 61 7 45 11 20 57 15 24 81 19 73 23 77 27 36 31 40 41 35 89 39 43 68 47 72 85 51 76 69 55 84 59 88 63 92 93 67 71 75 79 96 83 87 91 95,2 11 12 6 27 28 10 14 55 56 18 35 36 22 67 68 26 30 47 48 34 38 87 88 42 83 84 46 50 91 92 54 58 71 72 62 79 80 66 70 74 95 96 78 82 86 90 94:3 6 3 3 6 6 6 3 6 6,6 3 6 6 3 6 6 3 6 3> {(2, 58): 'tau3^-1', (0, 61): 't3', (0, 52): 'tau2^-1*t3^-1*tau1', (0, 53): 'tau2^-1*t3^-1*tau1', (0, 40): 't1', (0, 41): 't1', (0, 44): 't2', (0, 45): 't2', (0, 36): 'tau3^-1*t1^-1', (0, 37): 'tau3^-1*t1^-1', (1, 88): 't2', (1, 91): 'tau1^-1', (0, 60): 't3', (2, 22): 'tau2^-1', (2, 23): 'tau2^-1', (1, 84): 't2^-1', (1, 72): 't3^-1', (1, 64): 'tau2*t3*tau1^-1', (1, 68): 'tau3*t1', (1, 56): 't1', (1, 55): 'tau2^-1', (1, 39): 'tau3^-1', (2, 94): 'tau1', (2, 75): 'tau1^-1', (2, 71): 'tau3', (0, 68): 't2', (0, 69): 't2'}