U-tiling: UQC5734
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2266 |
*2626 |
(5,6,2) |
{4,4,12,4,6} |
{7.3.3.7}{7.7.3.3}{3.3.3.3.3.3.3... |
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
|
|
sqc9315
|
|
R-3m |
166 |
rhombohedral |
{4,4,12,4,6} |
17 |
(5,6) |
|
G
|
False
|
|
sqc9316
|
|
R-3 |
148 |
rhombohedral |
{4,4,12,4,6} |
17 |
(5,7) |
|
D
|
False
|
|
sqc9326
|
|
R-3m |
166 |
rhombohedral |
{4,4,12,4,6} |
17 |
(5,6) |
Topological data
| Vertex degrees | {4,4,12,4,6} |
| 2D vertex symbol | {7.3.3.7}{7.7.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}{7.7.7.7}{7.7.7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<33.2:156:27 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 98 100 102 104 131 107 109 111 113 115 117 144 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156,2 10 6 9 8 12 39 15 23 19 22 21 25 52 28 36 32 35 34 38 41 49 45 48 47 51 54 62 58 61 60 64 91 67 75 71 74 73 77 104 80 88 84 87 86 90 93 101 97 100 99 103 106 114 110 113 112 116 143 119 127 123 126 125 129 156 132 140 136 139 138 142 145 153 149 152 151 155,118 4 5 123 124 138 139 140 141 25 26 105 17 18 110 111 151 152 153 154 144 30 31 149 150 99 100 101 102 64 65 131 43 44 136 137 86 87 88 89 77 78 66 56 57 71 72 125 126 127 128 69 70 112 113 114 115 92 82 83 97 98 116 117 95 96 129 130 108 109 121 122 134 135 155 156 147 148:7 3 7 3 3 3 7 3 7 3 3 3 7 3 7 3 3 3,4 4 12 4 6 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 't3', (2, 61): 't3', (2, 62): 't3', (2, 151): 't1', (2, 57): 'tau1', (2, 58): 'tau1', (2, 59): 't3', (2, 52): 'tau1', (2, 48): 't2', (2, 49): 't2', (2, 44): 'tau3', (2, 45): 'tau3', (2, 46): 't2', (2, 47): 't2', (2, 36): 't3', (2, 39): 'tau3', (2, 32): 'tau2^-1', (2, 33): 't3', (2, 34): 't3', (2, 35): 't3', (2, 31): 'tau2^-1', (2, 152): 't1', (2, 26): 'tau2^-1', (2, 150): 't1', (2, 23): 't1^-1', (2, 18): 'tau3', (2, 19): 'tau3', (2, 140): 't1', (2, 13): 'tau3', (2, 9): 't1^-1', (2, 138): 't1', (2, 6): 'tau2^-1', (2, 0): 'tau2^-1', (2, 137): 't1', (2, 122): 'tau2', (2, 112): 't2^-1', (2, 113): 't2^-1', (2, 111): 't2^-1', (2, 96): 'tau1^-1', (2, 97): 'tau1^-1', (2, 91): 'tau1^-1', (2, 75): 't2'}