U-tiling: UQC5894
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2353 |
*2244 |
(6,6,2) |
{4,4,4,3,4,8} |
{6.6.6.6}{6.6.6.6}{6.4.4.6}{6.4.... |
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
|
|
sqc11902
|
|
P42/mmc |
131 |
tetragonal |
{4,4,4,3,4,8} |
28 |
(6,6) |
|
G
|
False
|
|
sqc11906
|
|
I-42d |
122 |
tetragonal |
{4,4,4,3,4,8} |
28 |
(6,7) |
|
D
|
False
|
|
sqc6730
|
|
P-42m |
111 |
tetragonal |
{3,4,4,4,4,8} |
14 |
(6,6) |
Topological data
| Vertex degrees | {4,4,4,3,4,8} |
| 2D vertex symbol | {6.6.6.6}{6.6.6.6}{6.4.4.6}{6.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<64.1:224:2 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 5 34 9 14 11 13 43 17 19 48 23 28 25 27 31 33 37 42 39 41 45 47 51 56 53 55 85 59 61 90 65 70 67 69 99 73 75 104 79 84 81 83 87 89 93 98 95 97 101 103 107 112 109 111 141 115 117 146 121 126 123 125 155 129 131 160 135 140 137 139 143 145 149 154 151 153 157 159 163 168 165 167 197 171 173 202 177 182 179 181 211 185 187 216 191 196 193 195 199 201 205 210 207 209 213 215 219 224 221 223,15 16 115 116 7 8 121 122 95 96 41 42 129 130 21 22 135 136 109 110 55 56 57 58 143 144 35 36 149 150 53 54 71 72 157 158 49 50 163 164 171 172 63 64 177 178 81 82 97 98 185 186 77 78 191 192 111 112 99 100 199 200 91 92 205 206 213 214 105 106 219 220 127 128 119 120 207 208 153 154 133 134 221 222 167 168 169 170 147 148 165 166 183 184 161 162 175 176 193 194 209 210 189 190 223 224 211 212 203 204 217 218:6 4 6 4 4 4 6 4 6 4 4 4 6 4 6 4 4 4 6 4 6 4 4 4,4 4 4 3 4 8 4 3 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 3 8 3 3 3> {(1, 126): 'tau3', (2, 180): 'tau1', (1, 112): 't2', (2, 54): 't1', (2, 55): 't1', (1, 117): 't2', (2, 42): 't1*tau2^-1*t3^-1', (2, 43): 't1*tau2^-1*t3^-1', (2, 166): 'tau3^-1', (1, 98): 't3^-1*tau2^-1*t3^-1', (1, 103): 't3^-1*tau2^-1*t3^-1', (1, 89): 't3^-1', (2, 167): 'tau3^-1', (2, 24): 't1^-1*tau2*t3', (2, 153): 't2^-1', (1, 210): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 84): 't3^-1', (1, 215): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 201): 'tau1^-1', (2, 136): 't1^-1*tau2*t3', (2, 137): 't1^-1*tau2*t3', (2, 181): 'tau1', (2, 182): 't3*tau2*t1^-1', (2, 124): 't2', (2, 183): 't3*tau2*t1^-1', (2, 109): 't3^-1*tau2^-1*t1', (2, 110): 't3^-1*tau2^-1*t3^-1', (2, 111): 't3^-1*tau2^-1*t3^-1', (1, 47): 't1', (2, 96): 't3^-1', (2, 97): 't3^-1', (2, 222): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 223): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 196): 'tau1^-1', (1, 42): 't1', (1, 131): 'tau3'}