U-tiling: UQC4409
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1255 |
*2626 |
(4,4,2) |
{4,6,6,6} |
{5.4.4.5}{5.5.4.5.5.4}{4.4.4.4.4... |
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
|
|
sqc6172
|
|
R-3m |
166 |
rhombohedral |
{4,6,6,6} |
11 |
(4,4) |
|
G
|
False
|
|
sqc6157
|
|
R-3 |
148 |
rhombohedral |
{4,6,6,6} |
11 |
(4,5) |
|
D
|
False
|
|
sqc6151
|
|
R-3m |
166 |
rhombohedral |
{4,6,6,6} |
11 |
(4,4) |
Topological data
| Vertex degrees | {4,6,6,6} |
| 2D vertex symbol | {5.4.4.5}{5.5.4.5.5.4}{4.4.4.4.4.4}{5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<52.1:108:82 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 99 102 104 106 108,2 8 6 14 16 90 11 17 15 81 20 26 24 41 43 108 29 35 33 50 52 99 38 44 42 54 47 53 51 56 62 60 77 79 72 65 71 69 86 88 74 80 78 83 89 87 92 98 96 104 106 101 107 105,19 4 5 24 25 98 99 28 13 14 33 34 107 108 22 23 71 72 31 32 62 63 55 40 41 60 61 89 90 64 49 50 69 70 80 81 58 59 67 68 91 76 77 96 97 100 85 86 105 106 94 95 103 104:5 4 5 5 4 5 4 5 5 4 4 4,4 6 6 6 4 6 6 4 4 4 4> {(2, 61): 't2^-1', (2, 62): 't2^-1', (0, 63): 'tau1^-1', (2, 52): 't2', (2, 53): 't2', (2, 43): 't3', (2, 44): 't3', (1, 107): 'tau2', (0, 45): 'tau1^-1', (1, 98): 'tau3^-1', (1, 89): 'tau2', (0, 27): 'tau3', (2, 25): 't3', (2, 26): 't3', (0, 18): 'tau2^-1', (1, 80): 'tau3^-1', (2, 16): 't1^-1', (2, 17): 't1^-1', (0, 9): 'tau3', (2, 8): 't1^-1', (0, 0): 'tau2^-1', (2, 7): 't1^-1', (1, 71): 'tau1^-1', (1, 53): 'tau1^-1'}