U-tiling: UQC971
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc714 |
*2626 |
(2,4,3) |
{5,3} |
{6.3.24.24.3}{3.24.24} |
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
|
|
sqc5451
|
|
R-3m |
166 |
rhombohedral |
{3,5} |
12 |
(2,4) |
|
G
|
False
|
|
sqc5450
|
|
R-3 |
148 |
rhombohedral |
{3,5} |
12 |
(2,5) |
|
D
|
False
|
|
sqc5447
|
|
R-3m |
166 |
rhombohedral |
{3,5} |
12 |
(2,4) |
Topological data
| Vertex degrees | {5,3} |
| 2D vertex symbol | {6.3.24.24.3}{3.24.24} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.1:96:17 4 5 14 79 80 25 12 13 71 72 20 21 38 95 96 28 29 46 87 88 49 36 37 47 48 57 44 45 52 53 70 63 64 60 61 78 81 68 69 89 76 77 84 85 94 92 93,2 75 6 7 88 10 67 14 15 96 18 91 22 23 64 26 83 30 31 56 34 43 38 39 80 42 46 47 72 50 59 54 55 58 62 63 66 70 71 74 78 79 82 86 87 90 94 95,73 3 5 86 8 65 11 13 94 16 89 19 21 62 24 81 27 29 54 32 41 35 37 78 40 43 45 70 48 57 51 53 56 59 61 64 67 69 72 75 77 80 83 85 88 91 93 96:24 3 6 3 3 3 3 3,3 5 3 5 3 5 3 5 3 5 5 3> {(0, 6): 'tau2^-1', (0, 62): 'tau1^-1', (2, 53): 't2^-1', (1, 87): 't1', (1, 90): 'tau2', (2, 56): 'tau1^-1', (2, 45): 't2', (1, 42): 'tau1^-1', (1, 79): 't3^-1', (1, 74): 'tau2', (0, 22): 'tau2^-1', (2, 5): 't1^-1', (0, 47): 'tau1^-1', (0, 30): 'tau3', (2, 8): 'tau3', (2, 61): 't3^-1', (1, 10): 'tau3', (1, 95): 't1', (0, 7): 'tau2^-1', (0, 23): 'tau2^-1', (2, 32): 'tau1', (0, 31): 'tau3', (1, 55): 't2^-1', (0, 63): 'tau1^-1', (0, 14): 'tau3', (2, 24): 'tau3', (2, 13): 't1^-1', (2, 0): 'tau2^-1', (1, 82): 'tau3^-1', (1, 58): 'tau1^-1', (2, 16): 'tau2^-1', (2, 37): 't3', (1, 71): 't2^-1', (0, 15): 'tau3', (0, 46): 'tau1^-1', (1, 63): 't3^-1', }