U-tiling: UQC4415
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1258 |
*2626 |
(4,4,2) |
{4,3,6,6} |
{5.8.8.5}{5.5.8}{8.8.8.8.8.8}{5.... |
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
|
|
sqc6195
|
|
R-3m |
166 |
rhombohedral |
{4,3,6,6} |
14 |
(4,4) |
|
G
|
False
|
|
sqc6193
|
|
R-3 |
148 |
rhombohedral |
{4,3,6,6} |
14 |
(4,5) |
|
D
|
False
|
|
sqc6198
|
|
R-3m |
166 |
rhombohedral |
{4,3,6,6} |
14 |
(4,4) |
Topological data
| Vertex degrees | {4,3,6,6} |
| 2D vertex symbol | {5.8.8.5}{5.5.8}{8.8.8.8.8.8}{5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<53.2:108:19 3 5 7 9 28 12 14 16 18 21 23 25 27 30 32 34 36 55 39 41 43 45 64 48 50 52 54 57 59 61 63 66 68 70 72 91 75 77 79 81 100 84 86 88 90 93 95 97 99 102 104 106 108,2 8 6 14 97 27 11 17 15 106 36 20 26 24 41 70 29 35 33 50 61 38 44 42 88 63 47 53 51 79 72 56 62 60 77 65 71 69 86 74 80 78 99 83 89 87 108 92 98 96 104 101 107 105,82 4 5 87 88 17 18 73 13 14 78 79 100 22 23 105 106 44 45 91 31 32 96 97 53 54 46 40 41 51 52 49 50 64 58 59 69 70 80 81 67 68 89 90 76 77 85 86 94 95 107 108 103 104:5 8 5 8 8 5 5 5 5,4 3 6 6 4 4 3 4 3 4 4 3 3 3> {(2, 60): 'tau1', (2, 63): 'tau1^-1', (2, 59): 'tau1', (2, 50): 'tau1^-1', (2, 51): 'tau1^-1', (1, 105): 't1', (2, 45): 'tau1^-1', (1, 96): 't1', (2, 32): 'tau3', (2, 33): 'tau3', (2, 24): 'tau2^-1', (2, 27): 'tau3', (2, 23): 'tau2^-1', (2, 18): 'tau2^-1', (2, 14): 'tau3', (2, 15): 'tau3', (2, 9): 'tau3', (1, 78): 't2^-1', (2, 5): 'tau2^-1', (2, 6): 'tau2^-1', (2, 0): 'tau2^-1', (1, 60): 't2^-1', (1, 42): 't3', (1, 24): 't3'}