U-tiling: UQC245
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc269 |
*2224 |
(2,3,2) |
{12,3} |
{3.6.3.3.6.3.3.6.3.3.6.3}{3.6.6} |
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
|
|
sqc737
|
|
P4/mmm |
123 |
tetragonal |
{3,12} |
5 |
(2,3) |
|
G
|
False
|
|
sqc10720
|
|
I41/acd |
142 |
tetragonal |
{12,3} |
20 |
(2,4) |
|
D
|
False
|
|
sqc4963
|
|
P42/nnm |
134 |
tetragonal |
{12,3} |
10 |
(2,3) |
Topological data
| Vertex degrees | {12,3} |
| 2D vertex symbol | {3.6.3.3.6.3.3.6.3.3.6.3}{3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.2:192:7 3 5 18 9 11 24 19 15 17 21 23 43 27 29 42 55 33 35 54 61 39 41 45 47 66 73 51 53 57 59 78 63 65 79 69 71 90 75 77 81 83 108 103 87 89 115 93 95 126 109 99 101 132 105 107 111 113 150 117 119 156 151 123 125 145 129 131 157 135 137 174 163 141 143 180 147 149 153 155 159 161 186 165 167 192 181 171 173 187 177 179 183 185 189 191,2 9 28 6 8 34 12 14 21 40 18 20 52 24 26 45 30 32 57 36 38 63 42 44 142 48 50 75 54 56 166 60 62 178 66 68 81 100 72 74 190 78 80 118 84 86 105 130 90 92 117 136 96 98 111 102 104 154 108 110 160 114 116 120 122 153 172 126 128 147 132 134 159 138 140 165 144 146 184 150 152 156 158 162 164 168 170 183 174 176 189 180 182 186 188 192,67 4 5 12 79 10 11 85 16 17 24 103 22 23 91 28 29 48 109 34 35 60 121 40 41 66 115 46 47 145 52 53 78 97 58 59 151 64 65 70 71 84 127 76 77 82 83 88 89 108 94 95 120 100 101 114 106 107 112 113 118 119 124 125 156 130 131 150 163 136 137 162 157 142 143 168 148 149 154 155 160 161 166 167 187 172 173 186 181 178 179 192 184 185 190 191:3 6 6 3 3 3 3 6 3 6 3 6 6 3 3 6 3 6 3 3 3 3 3 3,12 3 12 12 3 12 3 3 3 3 3 3 3 3 3 3 3 3 3 3> {(2, 60): 'tau2^-1', (0, 59): 't2^-1', (2, 191): 'tau1*t3^-1', (2, 185): 'tau1^-1*t3', (2, 186): 't2^-1*tau3*t1*tau2^-1', (2, 59): 't2^-1', (2, 180): 't2*tau3^-1*t1^-1*tau2', (0, 179): 't3', (0, 173): 't3^-1', (2, 48): 'tau3', (1, 116): 't3^-1', (0, 180): 'tau1^-1*t3', (0, 42): 't3^-1', (0, 162): 'tau1', (2, 47): 't3^-1', (0, 174): 't3*tau1^-1', (0, 47): 't3^-1', (1, 110): 't2', (2, 36): 'tau2^-1', (2, 167): 'tau1', (2, 161): 'tau1^-1', (0, 30): 't2', (0, 156): 'tau1^-1', (2, 18): 't1^-1', (0, 149): 't2^-1', (2, 12): 't1^-1', (1, 56): 't2^-1', (2, 126): 'tau3^-1', (1, 189): 't2^-1', (0, 125): 't3^-1', (0, 114): 't3^-1', (1, 176): 't3*tau1^-1', (2, 119): 't3^-1', (1, 183): 't2', (1, 182): 'tau1^-1*t3', (2, 101): 't2^-1', (0, 96): 't2^-1', (1, 26): 't3', (1, 158): 'tau1^-1', (1, 140): 'tau1^-1'}