U-tiling: UQC4264
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1096 |
*2323 |
(4,5,2) |
{6,4,4,3} |
{6.6.6.6.6.6}{6.6.6.6}{6.3.3.6}{... |
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
|
|
sqc11666
|
|
P4232 |
208 |
cubic |
{6,4,4,3} |
26 |
(4,5) |
|
G
|
False
|
|
sqc11656
|
|
I213 |
199 |
cubic |
{6,4,4,3} |
26 |
(4,5) |
|
D
|
False
|
|
sqc11646
|
|
F-43m |
216 |
cubic |
{6,4,4,3} |
26 |
(4,5) |
Topological data
| Vertex degrees | {6,4,4,3} |
| 2D vertex symbol | {6.6.6.6.6.6}{6.6.6.6}{6.3.3.6}{3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<43.1:216:28 3 5 33 34 9 46 12 14 51 52 18 109 21 23 114 115 27 30 32 36 163 39 41 168 169 45 48 50 54 190 57 59 195 196 63 91 66 68 96 97 72 127 75 77 132 133 81 145 84 86 150 151 90 93 95 99 172 102 104 177 178 108 111 113 117 199 120 122 204 205 126 129 131 135 181 138 140 186 187 144 147 149 153 208 156 158 213 214 162 165 167 171 174 176 180 183 185 189 192 194 198 201 203 207 210 212 216,2 4 6 8 36 11 13 15 17 54 20 22 24 26 117 29 31 33 35 38 40 42 44 171 47 49 51 53 56 58 60 62 198 65 67 69 71 99 74 76 78 80 135 83 85 87 89 153 92 94 96 98 101 103 105 107 180 110 112 114 116 119 121 123 125 207 128 130 132 134 137 139 141 143 189 146 148 150 152 155 157 159 161 216 164 166 168 170 173 175 177 179 182 184 186 188 191 193 195 197 200 202 204 206 209 211 213 215,10 20 21 67 68 7 71 72 56 57 139 140 16 143 144 37 103 104 25 107 108 46 119 120 130 131 34 134 135 74 75 184 185 43 188 189 146 147 166 167 52 170 171 73 175 176 61 179 180 82 101 102 70 94 95 79 98 99 191 192 202 203 88 206 207 145 182 183 97 154 106 163 200 201 193 194 115 197 198 181 157 158 124 161 162 190 155 156 133 199 173 174 142 211 212 151 215 216 160 209 210 169 208 178 187 196 205 214:6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3,6 4 4 3 4 4 3 4 3 6 4 4 4 4 4 4 4 6 4 4 4 3 6 4 4 4> {(2, 63): 'tau3', (1, 125): 'tau2^-1*t3^-1*tau1', (0, 63): 't1^-1', (2, 180): 'tau2', (0, 180): 't3^-1', (1, 107): 't2', (2, 169): 't3^-1', (2, 170): 't3^-1', (2, 164): 'tau1^-1', (2, 165): 't3^-1', (2, 166): 't3^-1', (1, 98): 't1', (2, 160): 'tau3*t1', (2, 161): 'tau3*t1', (2, 163): 'tau1^-1', (1, 89): 'tau3^-1*t1^-1', (2, 157): 'tau3*t1', (0, 153): 't2', (2, 152): 'tau2*t3*tau1^-1', (0, 159): 't2', (2, 154): 'tau3', (2, 155): 'tau3', (2, 148): 'tau2*t3*tau1^-1', (0, 144): 't1*tau3', (2, 151): 'tau2*t3*tau1^-1', (2, 145): 'tau2', (2, 146): 'tau2', (2, 147): 'tau2*t3*tau1^-1', (0, 158): 't2', (0, 140): 't3', (0, 141): 't3', (2, 133): 't1', (2, 134): 't1', (2, 135): 'tau1', (2, 129): 't1', (2, 130): 't1', (0, 122): 'tau2^-1*t3^-1*tau1', (0, 123): 'tau2^-1*t3^-1*tau1', (2, 120): 't1^-1*tau3^-1', (1, 188): 't3^-1', (0, 117): 'tau2^-1*t3^-1*tau1', (0, 104): 't2', (0, 105): 't2', (0, 99): 't2', (0, 96): 't1', (0, 95): 't1', (0, 149): 't1*tau3', (0, 87): 'tau3^-1*t1^-1', (1, 215): 't2^-1', (2, 205): 't2', (2, 206): 't2', (2, 201): 't2', (2, 202): 't2', (2, 196): 't2^-1', (2, 197): 't2^-1', (2, 192): 't2^-1', (2, 193): 't2^-1'}