U-tiling: UQC1539
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc984 |
*2626 |
(2,4,4) |
{7,4} |
{12.3.3.6.3.3.12}{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
|
|
sqc6185
|
|
R-3m |
166 |
rhombohedral |
{7,4} |
9 |
(2,4) |
|
G
|
False
|
|
sqc6186
|
|
R-3 |
148 |
rhombohedral |
{7,4} |
9 |
(2,5) |
|
D
|
False
|
|
sqc6188
|
|
R-3m |
166 |
rhombohedral |
{7,4} |
9 |
(2,4) |
Topological data
| Vertex degrees | {7,4} |
| 2D vertex symbol | {12.3.3.6.3.3.12}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<49.1:108:19 11 12 6 7 98 99 28 15 16 107 108 38 39 24 25 71 72 47 48 33 34 62 63 55 42 43 89 90 64 51 52 80 81 74 75 60 61 83 84 69 70 91 78 79 100 87 88 101 102 96 97 105 106,2 4 8 15 97 90 11 13 17 106 81 20 22 26 42 70 108 29 31 35 51 61 99 38 40 44 88 54 47 49 53 79 56 58 62 78 72 65 67 71 87 74 76 80 83 85 89 92 94 98 105 101 103 107,82 3 5 7 9 73 12 14 16 18 100 21 23 25 27 91 30 32 34 36 46 39 41 43 45 48 50 52 54 64 57 59 61 63 66 68 70 72 75 77 79 81 84 86 88 90 93 95 97 99 102 104 106 108:12 3 3 6 3 3 3 3 3 3 3 3 3 3,7 4 7 7 4 7 4 7 7> {(2, 27): 'tau3', (1, 87): 't3^-1', (0, 8): 't1^-1', (0, 62): 't2^-1', (1, 60): 't2^-1', (0, 26): 't3', (0, 52): 't2', (1, 71): 'tau1^-1', (1, 107): 'tau2', (1, 105): 't1', (1, 98): 'tau3^-1', (0, 16): 't1^-1', (2, 0): 'tau2^-1', (0, 43): 't3', (0, 53): 't2', (2, 45): 'tau1^-1', (2, 18): 'tau2^-1', (2, 63): 'tau1^-1', (0, 17): 't1^-1', (0, 7): 't1^-1', (1, 53): 'tau1^-1', (0, 61): 't2^-1', (1, 89): 'tau2', (1, 80): 'tau3^-1', (1, 78): 't2^-1', (1, 69): 't3^-1', (0, 44): 't3', (0, 25): 't3', (2, 9): 'tau3', (1, 96): 't1', }