U-tiling: UQC4186
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
|
|
sqc5002
|
|
R-3m |
166 |
rhombohedral |
{4,4,6,6} |
11 |
(4,4) |
|
G
|
False
|
|
sqc4999
|
|
R-3 |
148 |
rhombohedral |
{4,4,6,6} |
11 |
(4,4) |
|
D
|
False
|
|
sqc5413
|
|
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
<34.2:96:17 6 19 5 8 25 14 27 13 16 22 21 24 30 29 32 49 38 51 37 40 57 46 59 45 48 54 53 56 62 61 64 81 70 83 69 72 89 78 91 77 80 86 85 88 94 93 96,2 4 77 7 24 10 12 69 15 32 18 20 93 23 26 28 85 31 34 36 45 39 56 42 44 47 64 50 52 61 55 58 60 63 66 68 71 88 74 76 79 96 82 84 87 90 92 95,3 82 84 85 86 15 16 11 90 92 93 94 19 58 60 61 62 39 40 27 50 52 53 54 47 48 35 74 76 77 78 43 66 68 69 70 51 71 72 59 79 80 67 75 83 95 96 91:5 6 5 6 5 6 5 5 5,4 6 4 6 4 4 4 4 4 4 4> {(2, 60): 't3^-1', (2, 61): 't3^-1', (2, 57): 't3^-1', (2, 59): 't3^-1', (2, 52): 't2^-1', (2, 53): 't2^-1', (2, 49): 't2^-1', (2, 51): 't2^-1', (2, 44): 't2', (2, 45): 't2', (2, 41): 't2', (2, 43): 't2', (2, 36): 't3', (2, 37): 't3', (2, 33): 't3', (2, 35): 't3', (1, 92): 'tau2', (1, 84): 'tau3^-1', (2, 12): 't1^-1', (2, 13): 't1^-1', (2, 9): 't1^-1', (2, 11): 't1^-1', (2, 4): 't1^-1', (2, 5): 't1^-1', (2, 1): 't1^-1', (2, 3): 't1^-1', (1, 60): 'tau1^-1', (1, 44): 'tau1^-1', (1, 12): 'tau3', (1, 4): 'tau2^-1'}