U-tiling: UQC5283
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1839 |
*2244 |
(5,5,2) |
{8,3,3,4,4} |
{5.5.5.5.5.5.5.5}{5.6.5}{5.6.6}{... |
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
|
|
sqc10229
|
|
P4/nmm |
129 |
tetragonal |
{8,3,3,4,4} |
24 |
(5,5) |
|
G
|
False
|
|
sqc10189
|
|
I41/a |
88 |
tetragonal |
{8,3,3,4,4} |
24 |
(5,6) |
|
D
|
False
|
|
sqc10190
|
|
I41/amd |
141 |
tetragonal |
{8,3,3,4,4} |
24 |
(5,5) |
Topological data
| Vertex degrees | {8,3,3,4,4} |
| 2D vertex symbol | {5.5.5.5.5.5.5.5}{5.6.5}{5.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<117.1:176:12 3 5 7 9 11 14 16 18 20 22 45 25 27 29 31 33 56 36 38 40 42 44 47 49 51 53 55 58 60 62 64 66 78 69 71 73 75 77 80 82 84 86 88 122 91 93 95 97 99 111 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 155 135 137 139 141 143 166 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176,2 4 16 28 8 10 33 13 15 39 19 21 44 24 26 49 30 32 35 37 60 41 43 46 48 149 52 54 154 57 59 171 63 65 176 68 70 82 105 74 76 110 79 81 127 85 87 132 90 92 126 138 96 98 143 101 103 115 107 109 112 114 160 118 120 165 123 125 129 131 134 136 159 140 142 145 147 170 151 153 156 158 162 164 167 169 173 175,67 24 25 6 7 19 20 76 77 78 35 36 17 18 87 88 89 28 29 52 53 98 99 111 39 40 63 64 120 121 122 145 146 50 51 131 132 100 167 168 61 62 109 110 101 102 72 73 85 86 123 124 83 84 134 135 94 95 129 130 105 106 118 119 156 157 116 117 127 128 166 138 139 162 163 175 176 155 149 150 173 174 164 165 160 161 171 172:5 6 6 5 5 6 6 5 6 6 5 6 5 6 5 5,8 3 3 4 4 8 3 4 3 4 3 4 3 3 3 3 3 3 3 3 3 3 4 3> {(2, 62): 't2^-1', (2, 63): 't2^-1', (1, 125): 't3^-1', (2, 52): 't3^-1', (2, 55): 't2^-1*tau3', (0, 55): 't2^-1', (2, 51): 't3^-1', (2, 44): 't3^-1*tau2^-1', (2, 173): 'tau1', (0, 44): 't3^-1', (2, 165): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 161): 'tau1^-1', (1, 103): 't2^-1', (0, 165): 'tau1', (0, 154): 'tau1^-1', (2, 154): 't2*tau3^-1*t1^-1*tau2*t3', (2, 22): 'tau2^-1*t3^-1', (2, 33): 'tau3*t2^-1', (2, 140): 'tau1', (2, 11): 't1^-1', (2, 0): 't1^-1', (1, 59): 't2^-1', (0, 121): 't3^-1', (1, 48): 't3^-1', (2, 118): 't2', (1, 169): 'tau1', (0, 110): 't2', (2, 96): 't3', (2, 172): 'tau1', (2, 95): 't3', (2, 117): 't2', (1, 136): 'tau1'}