U-tiling: UQC2040
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1661 |
*2244 |
(2,5,4) |
{4,3} |
{8.4.6.8}{6.4.4} |
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
|
|
sqc10348
|
|
P4/nmm |
129 |
tetragonal |
{3,4} |
24 |
(2,5) |
|
G
|
False
|
|
sqc10346
|
|
I41/a |
88 |
tetragonal |
{3,4,4} |
24 |
(3,6) |
|
D
|
False
|
|
sqc10347
|
|
I41/amd |
141 |
tetragonal |
{3,4} |
24 |
(2,5) |
Topological data
| Vertex degrees | {3,4} |
| 2D vertex symbol | {8.4.6.8}{6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<20.1:176:67 4 5 72 73 30 31 76 77 78 15 16 83 84 41 42 87 88 89 26 27 94 95 98 99 111 37 38 116 117 120 121 122 48 49 127 128 151 152 131 132 100 59 60 105 106 173 174 109 110 70 71 107 108 81 82 129 130 92 93 140 141 103 104 114 115 162 163 125 126 166 136 137 171 172 175 176 155 147 148 160 161 164 165 158 159 169 170,2 14 6 11 8 10 13 17 22 19 21 24 47 28 33 30 32 35 58 39 44 41 43 46 50 55 52 54 57 61 66 63 65 68 80 72 77 74 76 79 83 88 85 87 90 124 94 99 96 98 101 113 105 110 107 109 112 116 121 118 120 123 127 132 129 131 134 157 138 143 140 142 145 168 149 154 151 153 156 160 165 162 164 167 171 176 173 175,12 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 6 8 8 4 8 8 4 6 4 6 4 4 4 6 4,3 4 4 3 4 3 4 4 4 3 4 4 3 4 3 4 4 4 3 4 3 4 4 4> {(2, 33): 't2', (0, 39): 'tau3*t2^-1', (1, 24): 't3', (0, 6): 't1^-1', (0, 60): 't2^-1*tau3', (0, 16): 't1^-1', (1, 57): 't2^-1', (1, 112): 't2', (1, 123): 't3^-1', (0, 171): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 148): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 55): 't2^-1*tau3', (0, 22): 'tau2^-1*t3^-1', (1, 167): 'tau1', (0, 5): 't1^-1', (2, 44): 't3^-1', (2, 99): 't2^-1', (0, 17): 't1^-1', (0, 154): 't2*tau3^-1*t1^-1*tau2*t3', (0, 61): 't2^-1*tau3', (0, 38): 'tau3*t2^-1', (0, 28): 'tau2^-1*t3^-1', (0, 50): 't3^-1*tau2^-1', (2, 121): 't3^-1', (0, 149): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 11): 't1^-1', (0, 33): 'tau3*t2^-1', (0, 170): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 0): 't1^-1', (2, 165): 'tau1', (0, 44): 't3^-1*tau2^-1', (1, 156): 'tau1^-1', (2, 132): 'tau1', (0, 165): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 27): 'tau2^-1*t3^-1', (0, 49): 't3^-1*tau2^-1', }