U-tiling: UQC3356
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc464 |
*2224 |
(3,4,2) |
{4,4,4} |
{8.8.8.8}{8.3.3.8}{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
|
|
sqc1261
|
|
P4/mmm |
123 |
tetragonal |
{4,4,4} |
7 |
(3,4) |
G
|
False
|
|
sqc11953
|
|
I41/acd |
142 |
tetragonal |
{4,4,4} |
28 |
(3,4) |
D
|
False
|
|
sqc6849
|
|
P42/nnm |
134 |
tetragonal |
{4,4,4} |
14 |
(3,4) |
Topological data
Vertex degrees | {4,4,4} |
2D vertex symbol | {8.8.8.8}{8.3.3.8}{3.3.3.3} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<37.2:224:15 3 32 33 7 22 10 39 40 14 17 46 47 21 24 60 61 28 43 31 35 57 38 42 45 49 71 52 165 166 56 59 63 85 66 193 194 70 73 207 208 77 99 80 116 117 84 87 221 222 91 120 94 137 138 98 101 151 152 105 141 108 158 159 112 148 115 119 122 179 180 126 169 129 186 187 133 176 136 140 143 200 201 147 150 154 197 157 161 204 164 168 171 214 215 175 178 182 211 185 189 218 192 196 199 203 206 210 213 217 220 224,2 4 6 35 9 11 13 42 16 18 20 49 23 25 27 63 30 32 34 37 39 41 44 46 48 51 53 55 168 58 60 62 65 67 69 196 72 74 76 210 79 81 83 119 86 88 90 224 93 95 97 140 100 102 104 154 107 109 111 161 114 116 118 121 123 125 182 128 130 132 189 135 137 139 142 144 146 203 149 151 153 156 158 160 163 165 167 170 172 174 217 177 179 181 184 186 188 191 193 195 198 200 202 205 207 209 212 214 216 219 221 223,8 79 80 5 83 84 93 94 12 97 98 22 100 101 19 104 105 121 122 26 125 126 50 107 108 33 111 112 64 128 129 40 132 133 71 142 143 47 146 147 135 136 54 139 140 85 170 171 61 174 175 114 115 68 118 119 177 178 75 181 182 92 82 149 150 89 153 154 96 120 103 134 110 127 117 124 131 138 176 145 169 152 183 191 192 159 195 196 190 184 185 166 188 189 173 180 187 194 211 219 220 201 223 224 218 212 213 208 216 217 215 222:8 3 8 3 3 3 8 3 8 3 3 8 3 3 8 3 3 8 3 3 8 3 3 3,4 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> {(2, 189): 'tau1', (2, 63): 't2^-1', (0, 63): 't2^-1', (2, 180): 'tau2', (2, 181): 'tau2', (2, 182): 'tau1^-1', (0, 49): 't3^-1', (2, 176): 'tau2', (2, 177): 'tau2', (0, 172): 't2^-1', (2, 173): 'tau3^-1', (2, 174): 'tau3^-1', (2, 169): 'tau3^-1', (2, 170): 'tau3^-1', (0, 161): 't3^-1', (1, 216): 't2', (1, 90): 't2', (2, 152): 'tau3^-1', (2, 153): 'tau3^-1', (2, 27): 't1^-1', (2, 148): 'tau3^-1', (2, 149): 'tau3^-1', (2, 22): 't1^-1', (2, 23): 't1^-1', (2, 16): 't1^-1', (2, 145): 'tau2', (2, 146): 'tau2', (2, 19): 't1^-1', (2, 141): 'tau2', (2, 142): 'tau2', (2, 15): 't1^-1', (2, 133): 't3^-1', (2, 124): 't1', (2, 126): 't2', (0, 126): 't2', (0, 88): 't2', (2, 49): 't3^-1', (0, 171): 't2^-1', (0, 105): 't3', (2, 222): 't2^-1*tau3*t1*tau2^-1', (2, 223): 't2^-1*tau3*t1*tau2^-1', (2, 216): 't2*tau3^-1*t1^-1*tau2', (2, 217): 'tau1*t3^-1', (2, 218): 't2^-1*tau3*t1*tau2^-1', (2, 219): 't2^-1*tau3*t1*tau2^-1', (2, 212): 't2*tau3^-1*t1^-1*tau2', (2, 215): 't2*tau3^-1*t1^-1*tau2', (0, 87): 't2', (2, 211): 't2*tau3^-1*t1^-1*tau2', (2, 20): 't1^-1', (2, 196): 't3^-1*tau1', (0, 196): 't3^-1'}