U-tiling: UQC947
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc678 |
*2323 |
(2,4,3) |
{5,3} |
{6.4.6.4.6}{4.4.6} |
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
|
|
sqc11117
|
|
P4232 |
208 |
cubic |
{3,5} |
24 |
(2,4) |
|
G
|
False
|
|
sqc11112
|
|
I213 |
199 |
cubic |
{3,5} |
24 |
(2,5) |
|
D
|
False
|
|
sqc11097
|
|
F-43m |
216 |
cubic |
{5,3} |
24 |
(2,4) |
Topological data
| Vertex degrees | {5,3} |
| 2D vertex symbol | {6.4.6.4.6}{4.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<32.1:192:9 4 5 14 15 24 12 13 56 33 20 21 38 39 41 28 29 46 47 112 36 37 72 44 45 136 65 52 53 70 71 73 60 61 78 79 96 68 69 76 77 176 129 84 85 134 135 168 137 92 93 142 143 145 100 101 150 151 184 161 108 109 166 167 169 116 117 174 175 144 177 124 125 182 183 160 132 133 140 141 148 149 192 185 156 157 190 191 164 165 172 173 180 181 188 189,2 27 6 61 8 10 43 14 125 16 18 99 22 93 24 26 30 117 32 34 147 38 165 40 42 46 149 48 50 171 54 157 56 58 83 62 64 66 115 70 85 72 74 131 78 181 80 82 86 88 90 155 94 96 98 102 173 104 106 179 110 141 112 114 118 120 122 163 126 128 130 134 189 136 138 187 142 144 146 150 152 154 158 160 162 166 168 170 174 176 178 182 184 186 190 192,25 3 5 7 64 41 11 13 15 128 97 19 21 23 96 27 29 31 120 145 35 37 39 168 43 45 47 152 169 51 53 55 160 81 59 61 63 113 67 69 71 88 129 75 77 79 184 83 85 87 153 91 93 95 99 101 103 176 177 107 109 111 144 115 117 119 161 123 125 127 131 133 135 192 185 139 141 143 147 149 151 155 157 159 163 165 167 171 173 175 179 181 183 187 189 191:4 6 6 6 4 6 4 6 4 4 6 6 4 4 4 6 4 4 4 4,3 5 3 5 3 5 5 3 5 5 3 5 3 3 5 3 5 3 5 3 5 3 5 3> {(0, 62): 'tau3', (1, 188): 'tau1*t3^-1*tau2^-1', (2, 47): 't3', (1, 90): 't2', (0, 181): 'tau1^-1', (2, 56): 't1^-1', (1, 140): 'tau3*t1', (0, 47): 'tau2^-1', (1, 82): 't1', (0, 160): 'tau2', (2, 160): 't3^-1', (2, 191): 'tau1*t3^-1*tau2^-1', (1, 106): 'tau2^-1*t3^-1*tau1', (2, 136): 't2', (2, 72): 'tau3^-1*t1^-1', (2, 175): 't2^-1', (1, 148): 't3^-1', (0, 182): 'tau1^-1', (0, 176): 'tau1^-1', (0, 61): 'tau3', (0, 166): 'tau2', (0, 119): 'tau3^-1', (2, 111): 't1^-1*tau3^-1', (1, 76): 't2^-1', (1, 122): 't3', (2, 152): 't2^-1', (1, 100): 't2', (0, 151): 'tau1^-1', (1, 186): 't2^-1', (2, 176): 'tau1^-1*t3*tau2', (1, 116): 't1', (2, 31): 't1^-1', (1, 74): 'tau3^-1*t1^-1', (0, 56): 'tau3', (0, 165): 'tau2', (2, 183): 't2', }