U-tiling: UQC276
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1 |
*238 |
(1,1,1) |
{8} |
{3.3.3.3.3.3.3.3} |
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
|
|
sqc5309
|
dgp
|
I4/mmm |
139 |
tetragonal |
{8,8} |
6 |
(2,3) |
|
G
|
False
|
|
sqc10878
|
tie
|
I41/acd |
142 |
tetragonal |
{8,8} |
12 |
(2,4) |
|
D
|
False
|
|
sqc5051
|
tej
|
P42/nnm |
134 |
tetragonal |
{8,8} |
6 |
(2,3) |
Topological data
| Vertex degrees | {8,8} |
| 2D vertex symbol | {3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<23.1:192:67 3 5 30 79 9 11 36 85 15 17 42 103 21 23 54 91 27 29 109 33 35 121 39 41 115 45 47 144 145 51 53 97 57 59 168 151 63 65 180 69 71 102 127 75 77 192 81 83 120 87 89 132 93 95 138 99 101 105 107 156 111 113 162 117 119 123 125 174 129 131 163 135 137 157 141 143 147 149 186 153 155 159 161 165 167 187 171 173 181 177 179 183 185 189 191,2 69 6 29 8 81 12 35 14 87 18 41 20 105 24 53 26 93 30 32 111 36 38 123 42 44 117 48 143 50 147 54 56 99 60 167 62 153 66 179 68 72 101 74 129 78 191 80 84 119 86 90 131 92 96 137 98 102 104 108 155 110 114 161 116 120 122 126 173 128 132 134 165 138 140 159 144 146 150 185 152 156 158 162 164 168 170 189 174 176 183 180 182 186 188 192,7 4 5 18 10 11 24 19 16 17 22 23 43 28 29 42 55 34 35 54 61 40 41 46 47 66 73 52 53 58 59 78 64 65 79 70 71 90 76 77 82 83 108 103 88 89 115 94 95 126 109 100 101 132 106 107 112 113 150 118 119 156 151 124 125 145 130 131 157 136 137 174 163 142 143 180 148 149 154 155 160 161 186 166 167 192 181 172 173 187 178 179 184 185 190 191:3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3,8 8 8 8 8 8 8 8 8 8 8 8> {(0, 186): 't2^-1*tau3*t1*tau2^-1', (0, 185): 't2', (0, 191): 't2^-1', (0, 60): 'tau2^-1', (2, 59): 't2^-1', (2, 180): 'tau1^-1*t3', (2, 54): 't2^-1', (0, 180): 't2*tau3^-1*t1^-1*tau2', (2, 179): 't3', (2, 173): 't3^-1', (2, 47): 't3^-1', (2, 42): 't3^-1', (1, 184): 't2', (0, 36): 'tau2^-1', (2, 156): 'tau1^-1', (2, 186): 'tau1*t3^-1', (0, 18): 't1^-1', (2, 149): 't2^-1', (0, 144): 'tau3^-1', (1, 86): 't1', (1, 74): 'tau3', (2, 162): 'tau1', (0, 12): 't1^-1', (1, 76): 't2', (2, 125): 't3^-1', (0, 126): 'tau3^-1', (1, 188): 't2^-1*tau3*t1*tau2^-1', (1, 62): 'tau2^-1', (1, 176): 'tau2^-1*t1*tau3*t2^-1', (1, 50): 'tau3', (2, 114): 't3^-1', (2, 108): 't2', (1, 38): 'tau2^-1', (1, 20): 't1^-1'}