U-tiling: UQC5309
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1891 |
*2626 |
(5,5,2) |
{3,4,4,6,6} |
{5.6.5}{5.5.6.6}{6.6.6.6}{6.6.6.... |
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
|
|
sqc8200
|
|
R-3m |
166 |
rhombohedral |
{3,4,4,6,6} |
17 |
(5,5) |
|
G
|
False
|
|
sqc8199
|
|
R-3 |
148 |
rhombohedral |
{3,4,4,6,6} |
17 |
(5,6) |
|
D
|
False
|
|
sqc8237
|
|
R-3m |
166 |
rhombohedral |
{3,4,4,6,6} |
17 |
(5,5) |
Topological data
| Vertex degrees | {3,4,4,6,6} |
| 2D vertex symbol | {5.6.5}{5.5.6.6}{6.6.6.6}{6.6.6.6.6.6}{5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<66.1:132:100 3 5 7 9 11 89 14 16 18 20 22 122 25 27 29 31 33 111 36 38 40 42 44 56 47 49 51 53 55 58 60 62 64 66 78 69 71 73 75 77 80 82 84 86 88 91 93 95 97 99 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132,2 10 26 6 8 31 110 13 21 37 17 19 42 99 24 32 28 30 132 35 43 39 41 121 46 54 70 50 52 75 66 57 65 81 61 63 86 68 76 72 74 88 79 87 83 85 90 98 114 94 96 119 101 109 125 105 107 130 112 120 116 118 123 131 127 129,23 4 5 116 117 19 20 120 121 34 15 16 127 128 131 132 26 27 83 84 52 53 87 88 37 38 72 73 63 64 76 77 67 48 49 105 106 109 110 78 59 60 94 95 98 99 70 71 96 97 81 82 107 108 111 92 93 122 103 104 114 115 129 130 125 126:5 6 5 6 5 5 5 6 6 5 6 6,3 4 4 6 6 3 4 4 4 4 4 3 4 3 4 3 3> {(2, 60): 't2', (2, 61): 't2', (0, 44): 'tau1', (1, 120): 'tau3^-1', (0, 22): 'tau2^-1', (2, 54): 't3', (2, 49): 't3', (2, 50): 't3', (1, 109): 'tau2', (2, 42): 't2', (2, 43): 't2', (2, 38): 't2', (2, 39): 't2', (2, 32): 't3', (2, 28): 't3', (0, 33): 'tau3', (2, 27): 't3', (2, 20): 't1^-1', (2, 21): 't1^-1', (2, 16): 't1^-1', (1, 87): 'tau1^-1', (1, 98): 'tau3^-1', (0, 11): 'tau3', (2, 9): 't1^-1', (2, 10): 't1^-1', (2, 53): 't3', (1, 65): 'tau1^-1', (2, 5): 't1^-1', (0, 0): 'tau2^-1', (2, 127): 't1', (2, 116): 't1', (2, 31): 't3', (1, 32): 'tau2^-1', (2, 97): 't2^-1', (2, 98): 't2^-1', (0, 77): 'tau1^-1'}