U-tiling: UQC4185
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc862 |
*2626 |
(4,4,2) |
{4,6,4,6} |
{5.5.6.6}{6.6.6.6.6.6}{5.5.5.5}{... |
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
|
|
sqc5413
|
|
R-3m |
166 |
rhombohedral |
{4,4,6,6} |
11 |
(4,4) |
|
G
|
False
|
|
sqc5007
|
|
R-3 |
148 |
rhombohedral |
{4,4,6,6} |
11 |
(4,4) |
|
D
|
False
|
|
sqc5002
|
|
R-3m |
166 |
rhombohedral |
{4,4,6,6} |
11 |
(4,4) |
Topological data
| Vertex degrees | {4,6,4,6} |
| 2D vertex symbol | {5.5.6.6}{6.6.6.6.6.6}{5.5.5.5}{5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<34.1:96:73 6 75 5 8 65 14 67 13 16 89 22 91 21 24 81 30 83 29 32 41 38 43 37 40 46 45 48 57 54 59 53 56 62 61 64 70 69 72 78 77 80 86 85 88 94 93 96,2 4 21 7 80 10 12 29 15 72 18 20 23 96 26 28 31 88 34 36 53 39 48 42 44 61 47 50 52 55 64 58 60 63 66 68 85 71 74 76 93 79 82 84 87 90 92 95,3 10 12 13 14 87 88 11 95 96 19 34 36 37 38 63 64 27 42 44 45 46 55 56 35 79 80 43 71 72 51 66 68 69 70 59 74 76 77 78 67 75 83 90 92 93 94 91:5 6 5 6 5 5 5 6 5,4 6 4 6 4 4 4 4 4 4 4> {(0, 58): 'tau1^-1', (0, 56): 'tau1^-1', (2, 63): 't3^-1', (2, 54): 't2^-1', (2, 55): 't2^-1', (2, 62): 't3^-1', (0, 42): 'tau1^-1', (0, 40): 'tau1^-1', (2, 47): 't2', (2, 38): 't3', (2, 39): 't3', (0, 26): 'tau3', (0, 24): 'tau3', (1, 95): 'tau2', (0, 18): 'tau2^-1', (0, 16): 'tau2^-1', (2, 14): 't1^-1', (1, 87): 'tau3^-1', (0, 10): 'tau3', (0, 8): 'tau3', (2, 15): 't1^-1', (1, 79): 'tau2', (0, 2): 'tau2^-1', (0, 0): 'tau2^-1', (2, 7): 't1^-1', (1, 71): 'tau3^-1', (1, 63): 'tau1^-1', (1, 47): 'tau1^-1', (2, 6): 't1^-1', (2, 46): 't2'}