U-tiling: UQC3080
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2327 |
*2244 |
(2,6,6) |
{8,3} |
{4.4.4.4.4.4.4.4}{4.4.4} |
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
|
|
sqc11748
|
|
P42/mmc |
131 |
tetragonal |
{8,3} |
24 |
(2,6) |
G
|
False
|
|
sqc11751
|
|
I-42d |
122 |
tetragonal |
{8,3,3} |
24 |
(3,7) |
D
|
False
|
|
sqc6443
|
|
P-42m |
111 |
tetragonal |
{8,3} |
12 |
(2,6) |
Topological data
Vertex degrees | {8,3} |
2D vertex symbol | {4.4.4.4.4.4.4.4}{4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<68.1:224:15 16 115 116 7 8 121 122 95 96 97 98 129 130 21 22 135 136 109 110 111 112 57 58 143 144 35 36 149 150 53 54 55 56 71 72 157 158 49 50 163 164 171 172 63 64 177 178 81 82 83 84 185 186 77 78 191 192 99 100 199 200 91 92 205 206 213 214 105 106 219 220 127 128 119 120 207 208 209 210 133 134 221 222 223 224 169 170 147 148 165 166 167 168 183 184 161 162 175 176 193 194 195 196 189 190 211 212 203 204 217 218,29 3 5 13 9 12 11 42 43 17 19 27 23 26 25 56 31 33 41 37 40 39 45 47 55 51 54 53 85 59 61 69 65 68 67 98 99 73 75 83 79 82 81 112 87 89 97 93 96 95 101 103 111 107 110 109 141 115 117 125 121 124 123 154 155 129 131 139 135 138 137 168 143 145 153 149 152 151 157 159 167 163 166 165 197 171 173 181 177 180 179 210 211 185 187 195 191 194 193 224 199 201 209 205 208 207 213 215 223 219 222 221,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,8 3 8 3 3 3 8 3 8 3 3 3 8 3 8 3 3 3 8 3 8 3 3 3> {(0, 223): 't3^-1*tau2^-1*t1', (0, 136): 't1^-1*tau2*t3', (1, 196): 'tau1^-1', (0, 183): 't3*tau2*t1^-1', (1, 42): 't1', (0, 42): 't1*tau2^-1*t3^-1', (1, 126): 'tau3', (0, 26): 't1^-1*tau2*t3', (0, 137): 't1^-1*tau2*t3', (1, 111): 't3^-1*tau2^-1*t3^-1', (1, 210): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 125): 't2', (0, 27): 't1^-1*tau2*t3', (1, 98): 't3^-1*tau2^-1*t3^-1', (1, 195): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 112): 't2', (0, 43): 't1*tau2^-1*t3^-1', (1, 209): 'tau1^-1', (0, 138): 't1^-1*tau2*t3', (1, 167): 'tau3^-1', (0, 24): 't1^-1*tau2*t3', (1, 97): 't3^-1', (1, 84): 't3^-1', (1, 27): 't1^-1', (0, 182): 't3*tau2*t1^-1', (0, 25): 't1^-1*tau2*t3', }