U-tiling: UQC280
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc281 |
*2224 |
(2,3,2) |
{4,8} |
{3.6.6.3}{3.6.3.6.3.6.3.6} |
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
|
|
sqc5407
|
|
I4/mmm |
139 |
tetragonal |
{4,8} |
10 |
(2,3) |
|
G
|
False
|
|
sqc10976
|
|
I41/acd |
142 |
tetragonal |
{4,8} |
20 |
(2,4) |
|
D
|
False
|
|
sqc905
|
|
I4/mmm |
139 |
tetragonal |
{4,8} |
5 |
(2,3) |
Topological data
| Vertex degrees | {4,8} |
| 2D vertex symbol | {3.6.6.3}{3.6.3.6.3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<25.2:192:25 3 5 12 31 9 11 37 15 17 24 49 21 23 27 29 48 33 35 60 39 41 66 139 45 47 51 53 78 163 57 59 175 63 65 97 69 71 84 187 75 77 115 81 83 127 87 89 108 133 93 95 120 99 101 114 151 105 107 157 111 113 117 119 169 123 125 156 129 131 150 135 137 162 141 143 168 181 147 149 153 155 159 161 165 167 171 173 186 177 179 192 183 185 189 191,2 27 6 71 8 33 12 83 14 39 18 89 20 51 24 107 26 30 95 32 36 113 38 42 125 44 141 48 119 50 54 149 56 165 60 101 62 177 66 155 68 99 72 74 189 78 131 80 117 84 86 129 90 92 135 96 98 102 104 153 108 110 159 114 116 120 122 171 126 128 132 134 138 167 140 144 161 146 183 150 152 156 158 162 164 168 170 174 191 176 180 185 182 186 188 192,13 4 5 18 19 10 11 24 16 17 22 23 37 28 29 42 49 34 35 54 40 41 61 46 47 66 52 53 73 58 59 78 64 65 85 70 71 90 76 77 103 82 83 108 88 89 121 94 95 126 127 100 101 132 106 107 145 112 113 150 151 118 119 156 124 125 130 131 169 136 137 174 175 142 143 180 148 149 154 155 181 160 161 186 187 166 167 192 172 173 178 179 184 185 190 191:3 6 3 3 6 3 6 6 6 3 6 3 3 3 3 3 3 3 3 3 3 6 3 6,4 8 4 8 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 't3', (0, 59): 't2^-1', (0, 185): 'tau1^-1*t3', (0, 191): 'tau1*t3^-1', (2, 59): 't2^-1', (2, 54): 't2^-1', (0, 180): 't2', (2, 179): 't3', (2, 173): 't3^-1', (2, 174): 't3', (2, 47): 't3^-1', (2, 168): 't3^-1', (0, 47): 't3^-1', (0, 161): 'tau1^-1', (0, 167): 'tau1', (1, 124): 'tau2', (1, 88): 't1', (2, 149): 't2^-1', (1, 184): 't2*tau3^-1*t1^-1*tau2', (2, 144): 't2^-1', (1, 76): 'tau3', (1, 64): 'tau2^-1', (2, 125): 't3^-1', (2, 120): 't3^-1', (1, 188): 't2^-1', (1, 190): 't2^-1*tau3*t1*tau2^-1', (0, 113): 't2', (1, 182): 't2', (0, 95): 't3', (1, 148): 'tau3^-1', (1, 22): 't1^-1', (0, 72): 't2'}