U-tiling: UQC225
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc264 |
*2224 |
(2,3,2) |
{6,12} |
{3.3.3.3.3.3}{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
|
|
sqc5070
|
|
I4/mmm |
139 |
tetragonal |
{6,12} |
6 |
(2,3) |
|
G
|
False
|
|
sqc10722
|
|
I41/acd |
142 |
tetragonal |
{6,12} |
12 |
(2,4) |
|
D
|
False
|
|
sqc5078
|
|
P42/nnm |
134 |
tetragonal |
{6,12} |
6 |
(2,3) |
Topological data
| Vertex degrees | {6,12} |
| 2D vertex symbol | {3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.2:192:25 3 5 12 31 9 11 37 15 17 24 49 21 23 27 29 48 33 35 60 39 41 66 139 45 47 51 53 78 163 57 59 175 63 65 97 69 71 84 187 75 77 115 81 83 127 87 89 108 133 93 95 120 99 101 114 151 105 107 157 111 113 117 119 169 123 125 156 129 131 150 135 137 162 141 143 168 181 147 149 153 155 159 161 165 167 171 173 186 177 179 192 183 185 189 191,2 27 10 6 8 33 12 14 39 22 18 20 51 24 26 46 30 32 58 36 38 64 42 44 141 48 50 76 54 56 165 60 62 177 66 68 99 82 72 74 189 78 80 117 84 86 129 106 90 92 135 118 96 98 112 102 104 153 108 110 159 114 116 120 122 171 154 126 128 148 132 134 160 138 140 166 144 146 183 150 152 156 158 162 164 168 170 184 174 176 190 180 182 186 188 192,13 4 5 72 19 10 11 84 16 17 90 22 23 108 37 28 29 96 49 34 35 114 40 41 126 61 46 47 120 52 53 150 73 58 59 102 64 65 156 85 70 71 76 77 132 103 82 83 88 89 121 94 95 127 100 101 106 107 145 112 113 151 118 119 124 125 130 131 169 136 137 168 175 142 143 162 148 149 154 155 181 160 161 187 166 167 172 173 192 178 179 186 184 185 190 191:3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3,6 12 12 12 12 6 6 6 6 6 6 6> {(2, 60): 't3', (0, 59): 't2^-1', (2, 191): 't2^-1*tau3*t1*tau2^-1', (2, 185): 't2*tau3^-1*t1^-1*tau2', (2, 53): 'tau3', (2, 54): 't2^-1', (1, 117): 't3^-1', (0, 180): 't2', (2, 174): 't3', (0, 185): 'tau1^-1*t3', (2, 168): 't3^-1', (2, 41): 'tau2^-1', (1, 111): 't2', (0, 161): 'tau1^-1', (0, 167): 'tau1', (0, 191): 'tau1*t3^-1', (0, 29): 't3', (2, 23): 't1^-1', (2, 144): 't2^-1', (2, 17): 't1^-1', (1, 74): 't2', (2, 131): 'tau3^-1', (1, 57): 't2^-1', (1, 189): 'tau1*t3^-1', (0, 113): 't2', (0, 119): 't3^-1', (1, 183): 'tau1^-1*t3', (1, 182): 't2', (1, 45): 't3^-1', (2, 90): 't3', (1, 159): 'tau1^-1', (2, 155): 'tau2', (0, 72): 't2', (1, 141): 'tau1^-1'}