U-tiling: UQC5464
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2095 |
*2244 |
(5,5,2) |
{4,4,8,3,8} |
{6.6.6.6}{6.6.6.6}{6.3.3.6.6.3.3... |
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
|
|
sqc5351
|
|
P4/mmm |
123 |
tetragonal |
{8,3,8,4,4} |
10 |
(5,5) |
|
G
|
False
|
|
sqc10919
|
|
I41/a |
88 |
tetragonal |
{4,4,8,3,8} |
20 |
(5,6) |
|
D
|
False
|
|
sqc10920
|
|
I41/amd |
141 |
tetragonal |
{4,4,8,3,8} |
20 |
(5,5) |
Topological data
| Vertex degrees | {4,4,8,3,8} |
| 2D vertex symbol | {6.6.6.6}{6.6.6.6}{6.3.3.6.6.3.3.6}{6.3.3}{3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<47.1:192:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192,25 3 5 30 9 12 11 37 15 17 42 21 24 23 27 29 33 36 35 39 41 45 48 47 157 51 53 162 57 60 59 181 63 65 186 69 72 71 109 75 77 114 81 84 83 133 87 89 138 93 96 95 145 99 101 150 105 108 107 111 113 117 120 119 169 123 125 174 129 132 131 135 137 141 144 143 147 149 153 156 155 159 161 165 168 167 171 173 177 180 179 183 185 189 192 191,73 74 15 16 7 8 81 82 35 36 85 86 19 20 93 94 47 48 97 98 51 52 31 32 105 106 121 122 63 64 43 44 129 130 133 134 55 56 141 142 167 168 109 110 67 68 117 118 191 192 87 88 79 80 119 120 91 92 143 144 135 136 103 104 155 156 123 124 115 116 127 128 179 180 139 140 181 182 171 172 151 152 189 190 169 170 183 184 163 164 177 178 175 176 187 188:6 3 6 3 3 3 6 3 6 3 6 3 6 3 6 3 3 6 3 3 3 3 3 3,4 4 8 3 8 4 3 8 4 8 4 8 3 3 3 3 3 3 4 8> {(2, 60): 't2^-1*tau3', (2, 61): 't2^-1*tau3', (2, 62): 't2^-1', (2, 63): 't2^-1', (2, 180): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 181): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 182): 'tau1', (2, 183): 'tau1', (2, 48): 't3^-1*tau2^-1', (2, 49): 't3^-1*tau2^-1', (2, 50): 't3^-1', (2, 51): 't3^-1', (2, 168): 't2*tau3^-1*t1^-1*tau2*t3', (2, 169): 't2*tau3^-1*t1^-1*tau2*t3', (2, 170): 'tau1^-1', (2, 171): 'tau1^-1', (2, 36): 'tau3*t2^-1', (2, 37): 'tau3*t2^-1', (2, 24): 'tau2^-1*t3^-1', (2, 25): 'tau2^-1*t3^-1', (2, 12): 't1^-1', (2, 13): 't1^-1', (2, 134): 't3^-1', (2, 135): 't3^-1', (2, 0): 't1^-1', (2, 1): 't1^-1', (2, 122): 't2', (2, 123): 't2'}