U-tiling: UQC1480
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc946 |
*2626 |
(2,4,4) |
{6,18} |
{6.4.3.3.3.4}{3.3.3.3.3.3.3.3.3.... |
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
|
|
sqc6163
|
|
R-3m |
166 |
rhombohedral |
{18,6} |
7 |
(2,4) |
|
G
|
False
|
|
sqc6164
|
|
R-3 |
148 |
rhombohedral |
{18,6} |
7 |
(2,5) |
|
D
|
False
|
|
sqc6166
|
|
R-3m |
166 |
rhombohedral |
{18,6} |
7 |
(2,4) |
Topological data
| Vertex degrees | {6,18} |
| 2D vertex symbol | {6.4.3.3.3.4}{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<45.2:108:82 4 5 15 16 98 99 73 13 14 107 108 100 22 23 42 43 71 72 91 31 32 51 52 62 63 46 40 41 89 90 49 50 80 81 64 58 59 78 79 67 68 87 88 76 77 85 86 94 95 105 106 103 104,2 12 85 6 8 90 11 76 15 17 81 20 39 103 24 26 108 29 48 94 33 35 99 38 49 42 44 54 47 51 53 56 75 67 60 62 72 65 84 69 71 74 78 80 83 87 89 92 102 96 98 101 105 107,19 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 99 102 104 106 108:3 3 4 6 3 3 3 4 3 3 4 3 3 3 3 3,18 6 6 6 6 6 6> {(1, 57): 'tau1', (0, 18): 'tau2^-1', (0, 8): 't1^-1', (0, 62): 't2^-1', (0, 45): 'tau1^-1', (0, 26): 't3', (0, 9): 'tau3', (0, 63): 'tau1^-1', (0, 52): 't2', (1, 102): 'tau2', (0, 17): 't1^-1', (1, 71): 'tau1^-1', (1, 107): 'tau2', (0, 27): 'tau3', (1, 98): 'tau3^-1', (0, 16): 't1^-1', (0, 53): 't2', (0, 43): 't3', (1, 39): 'tau1', (1, 93): 'tau3^-1', (1, 75): 'tau3^-1', (1, 84): 'tau2', (0, 7): 't1^-1', (1, 53): 'tau1^-1', (0, 61): 't2^-1', (1, 89): 'tau2', (1, 80): 'tau3^-1', (0, 0): 'tau2^-1', (0, 44): 't3', (0, 25): 't3', }