U-tiling: UQC4314
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1164 |
*2323 |
(4,4,2) |
{4,3,3,3} |
{3.12.12.3}{3.12.12}{12.12.12}{1... |
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
|
|
sqc11705
|
|
P4232 |
208 |
cubic |
{4,3,3,3} |
32 |
(4,4) |
|
G
|
False
|
|
sqc11702
|
|
I213 |
199 |
cubic |
{4,3,3,3} |
32 |
(4,5) |
|
D
|
False
|
|
sqc11703
|
|
F-43m |
216 |
cubic |
{4,3,3,3} |
32 |
(4,4) |
Topological data
| Vertex degrees | {4,3,3,3} |
| 2D vertex symbol | {3.12.12.3}{3.12.12}{12.12.12}{12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<46.1:216:28 3 5 7 9 46 12 14 16 18 109 21 23 25 27 30 32 34 36 163 39 41 43 45 48 50 52 54 190 57 59 61 63 91 66 68 70 72 127 75 77 79 81 145 84 86 88 90 93 95 97 99 172 102 104 106 108 111 113 115 117 199 120 122 124 126 129 131 133 135 181 138 140 142 144 147 149 151 153 208 156 158 160 162 165 167 169 171 174 176 178 180 183 185 187 189 192 194 196 198 201 203 205 207 210 212 214 216,2 30 6 8 25 72 11 48 15 17 61 144 20 111 24 26 108 29 33 35 124 135 38 165 42 44 79 189 47 51 53 151 171 56 192 60 62 180 65 93 69 71 106 74 129 78 80 99 83 147 87 89 196 207 92 96 98 187 101 174 105 107 110 114 116 205 198 119 201 123 125 162 128 132 134 160 137 183 141 143 178 146 150 152 216 155 210 159 161 164 168 170 214 173 177 179 182 186 188 191 195 197 200 204 206 209 213 215,10 4 5 15 16 35 36 13 14 53 54 37 22 23 42 43 116 117 46 31 32 51 52 40 41 170 171 49 50 73 58 59 78 79 197 198 82 67 68 87 88 98 99 76 77 134 135 85 86 152 153 145 94 95 150 151 154 103 104 159 160 179 180 163 112 113 168 169 181 121 122 186 187 206 207 190 130 131 195 196 199 139 140 204 205 188 189 148 149 157 158 215 216 166 167 208 175 176 213 214 184 185 193 194 202 203 211 212:3 12 3 12 3 12 3 12 12 3 3 3 3 12 3 3 3 3,4 3 3 3 3 3 4 3 3 4 3 3 4 3 4 3 3 3 3 3 4 4 3 4 3 4 3 4 4 3 3 4> {(2, 188): 't3^-1', (2, 63): 'tau3', (1, 125): 't1^-1*tau3^-1', (0, 63): 't1^-1', (2, 186): 'tau2', (2, 187): 't3^-1', (2, 180): 'tau2', (1, 116): 't2', (1, 119): 'tau2^-1*t3^-1*tau1', (2, 179): 't2^-1', (0, 171): 't2^-1', (1, 101): 't2', (2, 161): 't2', (2, 185): 'tau2', (1, 89): 't2^-1', (0, 153): 't2', (2, 152): 't1*tau3', (1, 92): 't1', (2, 87): 'tau3^-1', (1, 209): 't2^-1', (2, 160): 't2', (2, 151): 't1*tau3', (1, 213): 'tau1', (1, 215): 'tau1*t3^-1*tau2^-1', (2, 140): 'tau1', (2, 141): 'tau1', (0, 81): 'tau3^-1*t1^-1', (2, 135): 'tau1', (0, 135): 't3', (2, 124): 'tau2^-1*t3^-1*tau1', (2, 125): 'tau2^-1*t3^-1*tau1', (1, 51): 'tau2^-1', (1, 53): 't3', (0, 117): 'tau2^-1*t3^-1*tau1', (2, 178): 't2^-1', (1, 35): 't1^-1', (2, 97): 't1', (2, 98): 't1', (2, 86): 'tau3^-1', (1, 146): 't1*tau3', (1, 137): 't3', (1, 132): 'tau3^-1'}