U-tiling: UQC2733
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2142 |
*2626 |
(2,6,5) |
{5,3} |
{12.4.3.12.4}{3.4.4} |
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
|
|
sqc9342
|
|
R-3m |
166 |
rhombohedral |
{3,5} |
18 |
(2,6) |
|
G
|
False
|
|
sqc9340
|
|
R-3 |
148 |
rhombohedral |
{3,5,5} |
18 |
(3,7) |
|
D
|
False
|
|
sqc9343
|
|
R-3m |
166 |
rhombohedral |
{3,5} |
18 |
(2,6) |
Topological data
| Vertex degrees | {3,5} |
| 2D vertex symbol | {12.4.3.12.4}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<29.2:156:118 4 5 123 124 138 139 23 24 38 39 105 17 18 110 111 151 152 51 52 144 30 31 149 150 99 100 62 63 131 43 44 136 137 86 87 75 76 66 56 57 71 72 125 126 90 91 69 70 112 113 103 104 92 82 83 97 98 114 115 95 96 127 128 108 109 142 143 121 122 155 156 134 135 153 154 147 148,2 29 6 13 8 10 12 15 42 19 26 21 23 25 28 32 39 34 36 38 41 45 52 47 49 51 54 81 58 65 60 62 64 67 94 71 78 73 75 77 80 84 91 86 88 90 93 97 104 99 101 103 106 133 110 117 112 114 116 119 146 123 130 125 127 129 132 136 143 138 140 142 145 149 156 151 153 155,27 3 5 7 9 11 13 40 16 18 20 22 24 26 29 31 33 35 37 39 42 44 46 48 50 52 79 55 57 59 61 63 65 92 68 70 72 74 76 78 81 83 85 87 89 91 94 96 98 100 102 104 131 107 109 111 113 115 117 144 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156:4 3 12 4 12 4 3 4 4 4 4 4 3 3 4 3 3,3 5 3 5 5 5 3 5 3 5 5 5 3 5 3 5 5 5> {(0, 18): 'tau3', (0, 96): 'tau1^-1', (0, 45): 'tau3', (0, 150): 't1', (0, 34): 't3', (0, 111): 't2^-1', (0, 59): 't3', (0, 26): 'tau2^-1', (0, 19): 'tau3', (0, 137): 't1', (0, 52): 'tau1', (0, 97): 'tau1^-1', (0, 151): 't1', (0, 13): 'tau3', (0, 46): 't2', (0, 122): 'tau2', (0, 39): 'tau3', (0, 6): 'tau2^-1', (0, 60): 't3', (0, 31): 'tau2^-1', (0, 138): 't1', (0, 32): 'tau2^-1', (0, 57): 'tau1', (0, 47): 't2', (0, 112): 't2^-1', (0, 33): 't3', (0, 0): 'tau2^-1', (0, 44): 'tau3', (0, 91): 'tau1^-1', (0, 58): 'tau1', }