U-tiling: UQC92
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc67 |
*344 |
(2,2,2) |
{9,4} |
{4.3.3.4.3.3.4.3.3}{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
|
|
sqc10748
|
|
Pm-3n |
223 |
cubic |
{9,4} |
14 |
(2,2) |
|
G
|
False
|
|
sqc10743
|
|
I-43d |
220 |
cubic |
{9,4} |
14 |
(2,2) |
|
D
|
False
|
|
sqc5308
|
|
P-43m |
215 |
cubic |
{9,4} |
7 |
(2,2) |
Topological data
| Vertex degrees | {9,4} |
| 2D vertex symbol | {4.3.3.4.3.3.4.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.1:192:5 6 4 8 17 18 12 25 26 16 20 37 38 24 28 45 46 32 53 54 36 40 65 66 44 48 81 82 52 56 93 94 60 101 102 64 68 97 98 72 117 118 76 125 126 80 84 121 122 88 137 138 92 96 100 104 149 150 108 153 154 112 157 158 116 120 124 128 161 162 132 165 166 136 140 173 174 144 177 178 148 152 156 160 164 168 185 186 172 176 180 189 190 184 188 192,21 3 8 33 7 49 11 20 73 15 28 77 19 23 40 113 27 105 31 48 35 56 69 39 85 43 68 141 47 51 84 97 55 121 59 96 133 63 104 129 67 71 100 75 120 79 128 109 83 87 124 165 91 140 161 95 99 169 103 107 152 111 156 115 160 145 119 123 153 127 131 164 135 168 185 139 143 176 147 180 181 151 155 177 159 163 167 171 188 189 175 179 183 192 187 191,2 11 12 6 15 16 10 14 18 31 32 22 43 44 26 47 48 30 34 59 60 38 63 64 42 46 50 87 88 54 91 92 58 62 66 107 108 70 111 112 74 123 124 78 131 132 82 135 136 86 90 94 143 144 98 147 148 102 151 152 106 110 114 163 164 118 167 168 122 126 171 172 130 134 138 175 176 142 146 150 154 183 184 158 187 188 162 166 170 174 178 191 192 182 186 190:4 3 4 3 4 3 3 4 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3,9 4 9 9 4 9 4 9 4 9 4 4 9 9> {(2, 190): 't2^-1', (2, 191): 't2^-1', (2, 58): 't1', (2, 187): 'tau1^-1*t3*tau2', (2, 54): 'tau3', (2, 55): 'tau3', (1, 116): 'tau3^-1', (1, 104): 't3^-1', (2, 174): 't1*tau3', (2, 175): 't1*tau3', (2, 170): 'tau1^-1', (2, 171): 'tau1^-1', (2, 162): 'tau2', (1, 60): 't2', (2, 158): 'tau2^-1*t3^-1*tau1', (2, 163): 'tau2', (2, 35): 't1^-1', (2, 130): 't3^-1', (2, 131): 't3^-1', (1, 184): 't2', (1, 188): 'tau1*t3^-1*tau2^-1', (1, 176): 'tau3*t1', (1, 180): 'tau1', (2, 110): 't2^-1', (2, 111): 't2^-1', (1, 44): 'tau2^-1', (1, 12): 't1^-1'}