U-tiling: UQC1015
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc745 |
*2626 |
(2,4,3) |
{5,3} |
{6.4.18.18.4}{4.4.18} |
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
|
|
sqc5478
|
|
R-3m |
166 |
rhombohedral |
{5,3} |
12 |
(2,4) |
|
G
|
False
|
|
sqc5476
|
|
R-3 |
148 |
rhombohedral |
{5,3} |
12 |
(2,5) |
|
D
|
False
|
|
sqc5477
|
|
R-3m |
166 |
rhombohedral |
{5,3} |
12 |
(2,4) |
Topological data
| Vertex degrees | {5,3} |
| 2D vertex symbol | {6.4.18.18.4}{4.4.18} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<28.2:96:73 4 5 14 15 16 65 12 13 89 20 21 38 39 40 81 28 29 46 47 48 41 36 37 44 45 57 52 53 70 71 72 60 61 78 79 80 68 69 76 77 84 85 94 95 96 92 93,2 7 84 6 24 10 15 92 14 32 18 23 60 22 26 31 52 30 34 39 76 38 56 42 47 68 46 64 50 55 54 58 63 62 66 71 70 88 74 79 78 96 82 87 86 90 95 94,17 3 5 86 8 25 11 13 94 16 19 21 62 24 27 29 54 32 49 35 37 78 40 57 43 45 70 48 51 53 56 59 61 64 81 67 69 72 89 75 77 80 83 85 88 91 93 96:18 4 6 4 4 4 4 4,5 3 5 3 3 3 5 3 5 3 5 5> {(0, 16): 'tau2^-1', (1, 59): 't3^-1', (2, 53): 't2^-1', (2, 37): 't3', (0, 8): 'tau3', (1, 91): 't1', (2, 13): 't1^-1', (2, 45): 't2', (0, 0): 'tau2^-1', (1, 67): 't2^-1', (1, 83): 't1', (2, 5): 't1^-1', (1, 51): 't2^-1', (0, 40): 'tau1^-1', (0, 56): 'tau1^-1', (0, 24): 'tau3', (1, 75): 't3^-1', (2, 61): 't3^-1', }