U-tiling: UQC4115
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1203 |
*2626 |
(3,4,2) |
{4,6,12} |
{18.3.3.18}{18.3.3.18.3.3}{3.3.3... |
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
|
|
sqc6184
|
|
R-3m |
166 |
rhombohedral |
{4,6,12} |
10 |
(3,4) |
|
G
|
False
|
|
sqc6182
|
|
R-3 |
148 |
rhombohedral |
{4,6,12} |
10 |
(3,5) |
|
D
|
False
|
|
sqc6181
|
|
R-3m |
166 |
rhombohedral |
{4,6,12} |
10 |
(3,4) |
Topological data
| Vertex degrees | {4,6,12} |
| 2D vertex symbol | {18.3.3.18}{18.3.3.18.3.3}{3.3.3.3.3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.2:108:19 3 5 7 9 28 12 14 16 18 21 23 25 27 30 32 34 36 55 39 41 43 45 64 48 50 52 54 57 59 61 63 66 68 70 72 91 75 77 79 81 100 84 86 88 90 93 95 97 99 102 104 106 108,2 12 6 9 8 11 15 18 17 20 39 24 27 26 29 48 33 36 35 38 42 45 44 47 51 54 53 56 75 60 63 62 65 84 69 72 71 74 78 81 80 83 87 90 89 92 102 96 99 98 101 105 108 107,82 4 5 87 88 98 99 73 13 14 78 79 107 108 100 22 23 105 106 71 72 91 31 32 96 97 62 63 46 40 41 51 52 89 90 49 50 80 81 64 58 59 69 70 67 68 76 77 85 86 94 95 103 104:18 3 3 3 3 3 3 3 3 3 3 3 3,4 6 12 4 4 6 4 6 4 4> {(2, 60): 'tau1', (2, 61): 't2^-1', (2, 62): 't2^-1', (2, 63): 'tau1^-1', (2, 59): 'tau1', (2, 52): 't2', (2, 53): 't2', (2, 50): 'tau1^-1', (2, 51): 'tau1^-1', (2, 44): 't3', (2, 45): 'tau1^-1', (2, 43): 't3', (2, 32): 'tau3', (2, 33): 'tau3', (2, 24): 'tau2^-1', (2, 25): 't3', (2, 26): 't3', (2, 27): 'tau3', (2, 23): 'tau2^-1', (2, 16): 't1^-1', (2, 17): 't1^-1', (2, 18): 'tau2^-1', (2, 14): 'tau3', (2, 15): 'tau3', (2, 8): 't1^-1', (2, 9): 'tau3', (2, 5): 'tau2^-1', (2, 6): 'tau2^-1', (2, 7): 't1^-1', (2, 0): 'tau2^-1'}