U-tiling: UQC972
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
|
|
sqc5447
|
|
R-3m |
166 |
rhombohedral |
{3,5} |
12 |
(2,4) |
|
G
|
False
|
|
sqc5448
|
|
R-3 |
148 |
rhombohedral |
{3,5} |
12 |
(2,5) |
|
D
|
False
|
|
sqc5451
|
|
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
<27.2:96:73 4 5 86 23 24 65 12 13 94 31 32 89 20 21 62 81 28 29 54 41 36 37 78 55 56 44 45 70 63 64 57 52 53 60 61 68 69 87 88 76 77 95 96 84 85 92 93,2 19 6 7 16 10 27 14 15 18 22 23 40 26 30 31 48 34 51 38 39 42 59 46 47 50 54 55 72 58 62 63 80 66 83 70 71 74 91 78 79 82 86 87 96 90 94 95,17 3 5 14 8 25 11 13 16 19 21 38 24 27 29 46 32 49 35 37 40 57 43 45 48 51 53 70 56 59 61 78 64 81 67 69 72 89 75 77 80 83 85 94 88 91 93 96:24 3 6 3 3 3 3 3,3 5 3 5 5 3 3 5 5 3 3 5> {(0, 16): 'tau2^-1', (0, 8): 'tau3', (0, 53): 't2^-1', (0, 45): 't2', (0, 24): 'tau3', (0, 5): 't1^-1', (0, 61): 't3^-1', (0, 40): 'tau1^-1', (0, 0): 'tau2^-1', (0, 13): 't1^-1', (0, 56): 'tau1^-1', (0, 37): 't3', }