U-tiling: UQC1357
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc592 |
*2626 |
(2,4,4) |
{5,6} |
{6.4.4.4.4}{4.6.4.4.6.4} |
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
|
|
sqc5318
|
|
R-3m |
166 |
rhombohedral |
{5,6} |
9 |
(2,4) |
|
G
|
False
|
|
sqc5320
|
|
R-3 |
148 |
rhombohedral |
{5,6} |
9 |
(2,4) |
|
D
|
False
|
|
sqc5453
|
|
R-3m |
166 |
rhombohedral |
{5,6} |
9 |
(2,4) |
Topological data
| Vertex degrees | {5,6} |
| 2D vertex symbol | {6.4.4.4.4}{4.6.4.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<34.1:96:3 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 91,2 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 95,73 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 96:4 6 4 6 4 4 4 4 4 4 4,5 6 5 6 5 5 5 6 5> {(1, 87): 'tau3^-1', (0, 62): 't3^-1', (0, 55): 't2^-1', (2, 16): 'tau2^-1', (2, 10): 'tau3', (1, 95): 'tau2', (0, 38): 't3', (0, 63): 't3^-1', (2, 24): 'tau3', (2, 0): 'tau2^-1', (1, 71): 'tau3^-1', (2, 40): 'tau1^-1', (1, 63): 'tau1^-1', (0, 39): 't3', (0, 6): 't1^-1', (2, 56): 'tau1^-1', (2, 58): 'tau1^-1', (2, 18): 'tau2^-1', (1, 79): 'tau2', (2, 8): 'tau3', (0, 47): 't2', (0, 14): 't1^-1', (0, 7): 't1^-1', (0, 46): 't2', (2, 26): 'tau3', (1, 47): 'tau1^-1', (0, 54): 't2^-1', (2, 42): 'tau1^-1', (0, 15): 't1^-1', (2, 2): 'tau2^-1', }