U-tiling: UQC1013
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc744 |
*2626 |
(2,4,3) |
{5,18} |
{6.4.3.3.4}{4.4.3.4.4.3.4.4.3.4.... |
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
|
False
|
|
sqc5196
|
|
R-3m |
166 |
rhombohedral |
{5,18} |
7 |
(2,4) |
|
G
|
False
|
|
sqc5194
|
|
R-3m |
166 |
rhombohedral |
{5,18} |
7 |
(2,5) |
|
D
|
False
|
|
sqc4757
|
|
R-3m |
166 |
rhombohedral |
{5,18} |
7 |
(2,4) |
Topological data
| Vertex degrees | {5,18} |
| 2D vertex symbol | {6.4.3.3.4}{4.4.3.4.4.3.4.4.3.4.4.3.4.4.3.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<29.2:96:73 4 5 14 15 16 65 12 13 89 20 21 38 39 40 81 28 29 46 47 48 41 36 37 44 45 57 52 53 70 71 72 60 61 78 79 80 68 69 76 77 84 85 94 95 96 92 93,2 7 76 6 24 10 15 68 14 32 18 23 92 22 26 31 84 30 34 39 44 38 56 42 47 46 64 50 55 60 54 58 63 62 66 71 70 88 74 79 78 96 82 87 86 90 95 94,17 3 5 86 8 25 11 13 94 16 19 21 62 24 27 29 54 32 49 35 37 78 40 57 43 45 70 48 51 53 56 59 61 64 81 67 69 72 89 75 77 80 83 85 88 91 93 96:3 4 6 3 3 4 3 4 3 3 4 4 4,5 18 5 5 5 5 5> {(0, 16): 'tau2^-1', (1, 59): 'tau1^-1', (2, 53): 't2^-1', (2, 37): 't3', (1, 43): 'tau1^-1', (0, 8): 'tau3', (1, 91): 'tau2', (2, 13): 't1^-1', (2, 45): 't2', (0, 0): 'tau2^-1', (1, 67): 'tau3^-1', (1, 83): 'tau3^-1', (2, 5): 't1^-1', (0, 40): 'tau1^-1', (0, 56): 'tau1^-1', (0, 24): 'tau3', (1, 75): 'tau2', (2, 61): 't3^-1', }