U-tiling: UQC993
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc731 |
*2626 |
(2,4,3) |
{4,24} |
{6.4.3.4}{4.4.3.3.4.4.3.3.4.4.3.... |
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
|
|
sqc4750
|
|
R-3m |
166 |
rhombohedral |
{24,4} |
7 |
(2,4) |
|
G
|
False
|
|
sqc4745
|
|
R-3m |
166 |
rhombohedral |
{24,4} |
7 |
(2,5) |
|
D
|
False
|
|
sqc4748
|
|
R-3m |
166 |
rhombohedral |
{24,4} |
7 |
(2,4) |
Topological data
| Vertex degrees | {4,24} |
| 2D vertex symbol | {6.4.3.4}{4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<33.2:96:73 4 5 86 87 88 65 12 13 94 95 96 89 20 21 62 63 64 81 28 29 54 55 56 41 36 37 78 79 80 44 45 70 71 72 57 52 53 60 61 68 69 76 77 84 85 92 93,2 8 76 6 79 10 16 68 14 71 18 24 92 22 95 26 32 84 30 87 34 40 44 38 47 42 48 46 50 56 60 54 63 58 64 62 66 72 70 74 80 78 82 88 86 90 96 94,17 3 5 7 16 25 11 13 15 19 21 23 40 27 29 31 48 49 35 37 39 57 43 45 47 51 53 55 72 59 61 63 80 81 67 69 71 89 75 77 79 83 85 87 96 91 93 95:3 4 6 3 4 3 4 3 4 3 4 4 3,24 4 4 4 4 4 4> {(0, 39): 't3', (0, 16): 'tau2^-1', (0, 6): 't1^-1', (0, 8): 'tau3', (0, 53): 't2^-1', (0, 62): 't3^-1', (1, 46): 'tau1^-1', (1, 27): 'tau3', (0, 55): 't2^-1', (0, 45): 't2', (1, 70): 'tau3^-1', (0, 47): 't2', (0, 24): 'tau3', (0, 5): 't1^-1', (1, 75): 'tau2', (1, 62): 'tau1^-1', (0, 7): 't1^-1', (0, 61): 't3^-1', (0, 38): 't3', (1, 86): 'tau3^-1', (1, 11): 'tau3', (0, 63): 't3^-1', (0, 40): 'tau1^-1', (0, 14): 't1^-1', (1, 91): 'tau2', (1, 78): 'tau2', (0, 0): 'tau2^-1', (0, 13): 't1^-1', (0, 54): 't2^-1', (1, 43): 'tau1^-1', (0, 15): 't1^-1', (0, 56): 'tau1^-1', (0, 37): 't3', (0, 46): 't2', (1, 94): 'tau2', (1, 59): 'tau1^-1', }