U-tiling: UQC2463
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1683 |
*2244 |
(2,5,5) |
{8,3} |
{4.4.3.4.4.4.3.4}{3.4.4} |
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
|
|
sqc10252
|
|
P4/nmm |
129 |
tetragonal |
{3,8} |
16 |
(2,5) |
|
G
|
False
|
|
sqc10249
|
|
I41/a |
88 |
tetragonal |
{3,8} |
16 |
(2,6) |
|
D
|
False
|
|
sqc10244
|
|
I41/amd |
141 |
tetragonal |
{3,8} |
16 |
(2,5) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.3.4.4.4.3.4}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<114.1:176:67 4 5 72 73 19 20 76 77 78 15 16 83 84 87 88 89 26 27 94 95 52 53 98 99 111 37 38 116 117 63 64 120 121 122 48 49 127 128 131 132 100 59 60 105 106 109 110 70 71 85 86 81 82 92 93 129 130 103 104 118 119 114 115 125 126 166 136 137 171 172 162 163 175 176 155 147 148 160 161 173 174 164 165 158 159 169 170,2 14 6 8 29 10 33 13 17 19 40 21 44 24 47 28 30 32 35 58 39 41 43 46 50 52 150 54 154 57 61 63 172 65 176 68 80 72 74 106 76 110 79 83 85 128 87 132 90 124 94 96 139 98 143 101 113 105 107 109 112 116 118 161 120 165 123 127 129 131 134 157 138 140 142 145 168 149 151 153 156 160 162 164 167 171 173 175,12 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 99 111 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 155 135 137 139 141 143 166 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:4 3 4 4 4 4 4 4 4 3 4 4 3 4 4 4 3 3 3 4 3 4 4 3,3 8 8 3 3 8 8 3 8 8 3 8 3 8 3 3> {(0, 117): 't2', (0, 129): 't3^-1', (0, 55): 't2^-1*tau3', (0, 173): 'tau1', (0, 22): 'tau2^-1*t3^-1', (0, 5): 't1^-1', (0, 154): 't2*tau3^-1*t1^-1*tau2*t3', (0, 63): 't2^-1', (0, 118): 't2', (0, 27): 'tau2^-1*t3^-1', (2, 55): 't2^-1', (0, 39): 'tau3*t2^-1', (2, 22): 't3', (0, 6): 't1^-1', (0, 159): 't2*tau3^-1*t1^-1*tau2*t3', (1, 112): 't2', (0, 171): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 167): 'tau1', (0, 17): 't1^-1', (0, 61): 't2^-1*tau3', (0, 28): 'tau2^-1*t3^-1', (2, 121): 't3^-1', (0, 149): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 123): 't3^-1', (0, 161): 'tau1^-1', (0, 128): 't3^-1', (0, 172): 'tau1', (0, 51): 't3^-1', (1, 57): 't2^-1', (0, 11): 't1^-1', (0, 62): 't2^-1', (1, 46): 't3^-1', (0, 162): 'tau1^-1', (0, 38): 'tau3*t2^-1', (2, 110): 't2', (0, 52): 't3^-1', (0, 170): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 165): 'tau1', (1, 156): 'tau1^-1', (2, 132): 'tau1', (0, 49): 't3^-1*tau2^-1', (0, 16): 't1^-1', (0, 60): 't2^-1*tau3', (0, 50): 't3^-1*tau2^-1', (0, 33): 'tau3*t2^-1', (0, 0): 't1^-1', (0, 44): 't3^-1*tau2^-1', (0, 165): 't2^-1*tau3*t1*tau2^-1*t3^-1', }