U-tiling: UQC4258
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1092 |
*2626 |
(4,5,2) |
{12,4,4,6} |
{4.4.4.4.4.4.4.4.4.4.4.4}{4.5.5.... |
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
|
|
sqc6136
|
|
R-3m |
166 |
rhombohedral |
{12,4,4,6} |
11 |
(4,5) |
|
G
|
False
|
|
sqc6135
|
|
R-3 |
148 |
rhombohedral |
{12,4,4,6} |
11 |
(4,5) |
|
D
|
False
|
|
sqc6126
|
|
R-3m |
166 |
rhombohedral |
{12,4,4,6} |
11 |
(4,5) |
Topological data
| Vertex degrees | {12,4,4,6} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4.4.4.4.4}{4.5.5.4}{5.5.5.5}{5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<42.2:108:19 3 22 23 7 9 28 12 31 32 16 18 21 25 27 30 34 36 55 39 58 59 43 45 64 48 67 68 52 54 57 61 63 66 70 72 91 75 94 95 79 81 100 84 103 104 88 90 93 97 99 102 106 108,2 4 6 8 27 11 13 15 17 36 20 22 24 26 29 31 33 35 38 40 42 44 63 47 49 51 53 72 56 58 60 62 65 67 69 71 74 76 78 80 99 83 85 87 89 108 92 94 96 98 101 103 105 107,82 92 93 5 96 97 17 18 73 101 102 14 105 106 100 65 66 23 69 70 44 45 91 56 57 32 60 61 53 54 46 83 84 41 87 88 74 75 50 78 79 64 59 80 81 68 89 90 77 86 95 107 108 104:4 5 4 5 4 5 4 5 4 5 4 5,12 4 4 6 4 4 4 4 4 4 4> {(2, 60): 't2^-1', (2, 63): 'tau1^-1', (2, 56): 't2^-1', (2, 59): 't2^-1', (2, 55): 't2^-1', (2, 50): 't2', (2, 51): 't2', (2, 45): 'tau1^-1', (2, 46): 't2', (2, 47): 't2', (2, 41): 't3', (2, 42): 't3', (2, 37): 't3', (2, 38): 't3', (2, 24): 't3', (2, 27): 'tau3', (2, 20): 't3', (2, 23): 't3', (2, 18): 'tau2^-1', (2, 19): 't3', (2, 14): 't1^-1', (2, 15): 't1^-1', (2, 9): 'tau3', (2, 10): 't1^-1', (2, 11): 't1^-1', (2, 5): 't1^-1', (2, 6): 't1^-1', (2, 0): 'tau2^-1', (2, 1): 't1^-1', (2, 2): 't1^-1'}