U-tiling: UQC5882
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2346 |
*2244 |
(6,6,2) |
{4,4,3,4,4,8} |
{4.4.4.4}{4.5.5.4}{4.5.5}{5.5.5.... |
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
|
|
sqc11897
|
|
P4/nmm |
129 |
tetragonal |
{4,4,3,4,4,8} |
28 |
(6,6) |
G
|
False
|
|
sqc11899
|
|
I41/a |
88 |
tetragonal |
{4,4,3,4,4,8} |
28 |
(6,7) |
D
|
False
|
|
sqc11896
|
|
I41/amd |
141 |
tetragonal |
{4,4,3,4,4,8} |
28 |
(6,6) |
Topological data
Vertex degrees | {4,4,3,4,4,8} |
2D vertex symbol | {4.4.4.4}{4.5.5.4}{4.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5.5.5.5.5} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<62.1:224:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224,29 3 32 7 14 9 11 13 43 17 46 21 28 23 25 27 31 35 42 37 39 41 45 49 56 51 53 55 183 59 186 63 70 65 67 69 211 73 214 77 84 79 81 83 127 87 130 91 98 93 95 97 155 101 158 105 112 107 109 111 169 115 172 119 126 121 123 125 129 133 140 135 137 139 197 143 200 147 154 149 151 153 157 161 168 163 165 167 171 175 182 177 179 181 185 189 196 191 193 195 199 203 210 205 207 209 213 217 224 219 221 223,85 86 5 6 91 92 23 24 95 96 41 42 99 100 19 20 105 106 109 110 55 56 113 114 33 34 119 120 65 66 123 124 141 142 47 48 147 148 79 80 151 152 155 156 61 62 161 162 165 166 195 196 127 128 75 76 133 134 137 138 223 224 89 90 107 108 139 140 103 104 167 168 117 118 163 164 181 182 131 132 149 150 145 146 209 210 159 160 211 212 173 174 217 218 205 206 221 222 197 198 187 188 203 204 219 220 207 208 201 202 215 216:4 5 4 5 5 5 4 5 4 5 4 5 4 5 4 5 5 4 5 5 5 5 5 5,4 4 3 4 4 8 4 4 3 8 4 4 4 4 4 4 4 3 4 3 3 3 3 3 4 4 4 4> {(2, 188): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 189): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 190): 'tau1^-1', (2, 191): 'tau1^-1', (2, 182): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 183): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 176): 'tau1', (2, 177): 'tau1', (2, 50): 't2', (2, 51): 't2', (2, 174): 't3*tau2*t1^-1*tau3^-1*t2', (2, 175): 't3*tau2*t1^-1*tau3^-1*t2', (2, 168): 't3*tau2*t1^-1*tau3^-1*t2', (2, 169): 't3*tau2*t1^-1*tau3^-1*t2', (2, 36): 't3', (2, 37): 't3', (2, 160): 'tau2*t3', (2, 161): 'tau2*t3', (2, 162): 't3^-1', (2, 163): 't3^-1', (2, 28): 'tau2^-1*t3^-1', (2, 29): 'tau2^-1*t3^-1', (2, 154): 'tau2*t3', (2, 155): 'tau2*t3', (2, 148): 't2', (2, 149): 't2', (2, 146): 't2*tau3^-1', (2, 147): 't2*tau3^-1', (2, 140): 't2*tau3^-1', (2, 141): 't2*tau3^-1', (2, 14): 't1^-1', (2, 15): 't1^-1', (2, 34): 'tau2^-1*t3^-1', (2, 132): 'tau3^-1*t2', (2, 133): 'tau3^-1*t2', (2, 6): 't1^-1', (2, 35): 'tau2^-1*t3^-1', (2, 0): 't1^-1', (2, 1): 't1^-1', (2, 126): 'tau3^-1*t2', (2, 127): 'tau3^-1*t2', (2, 7): 't1^-1', (2, 20): 't1^-1', (2, 21): 't1^-1'}