U-tiling: UQC1944
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1625 |
*22222 |
(2,6,4) |
{8,3} |
{4.4.3.4.4.3.4.4}{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) |
|
G
|
False
|
|
sqc10231
|
|
I4122 |
98 |
tetragonal |
{3,8} |
16 |
(2,7) |
|
D
|
False
|
|
sqc14607
|
|
P4222 |
93 |
tetragonal |
{3,8} |
8 |
(2,6) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.3.4.4.3.4.4}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<61.1:176:45 4 5 50 29 30 20 21 33 56 15 16 61 40 41 44 67 26 27 72 42 43 89 37 38 94 48 49 73 74 86 87 77 59 60 95 96 108 109 99 70 71 119 120 133 81 82 138 117 118 121 92 93 130 131 144 103 104 149 128 129 132 155 114 115 160 166 125 126 171 136 137 161 162 152 153 165 147 148 172 173 176 158 159 174 175 169 170,2 25 6 7 9 11 13 36 17 18 20 22 24 28 29 31 33 35 39 40 42 44 46 69 50 51 53 55 57 91 61 62 64 66 68 72 73 75 77 79 113 83 84 86 88 90 94 95 97 99 101 124 105 106 108 110 112 116 117 119 121 123 127 128 130 132 134 157 138 139 141 143 145 168 149 150 152 154 156 160 161 163 165 167 171 172 174 176,23 3 5 105 8 10 110 34 14 16 83 19 21 88 25 27 127 30 32 132 36 38 116 41 43 121 67 47 49 149 52 54 154 89 58 60 138 63 65 143 69 71 171 74 76 176 111 80 82 85 87 91 93 160 96 98 165 122 102 104 107 109 113 115 118 120 124 126 129 131 155 135 137 140 142 166 146 148 151 153 157 159 162 164 168 170 173 175:4 3 4 4 4 3 4 4 3 4 4 3 4 4 4 3 4 3 4 4 3 4 4 3,3 8 3 8 8 8 3 8 3 8 8 3 8 3 3 3> {(0, 41): 't1', (0, 117): 'tau2*t3', (0, 129): 'tau3^-1', (0, 173): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 98): 't1^-1', (2, 32): 't1^-1', (0, 63): 't2', (0, 42): 't1', (0, 151): 'tau1', (0, 118): 'tau2', (0, 130): 'tau3^-1', (0, 174): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 39): 't1', (1, 112): 'tau2*t3', (0, 171): 't1^-1*tau3^-1*t2', (0, 65): 't2*tau3^-1', (0, 32): 't1^-1', (1, 167): 't1^-1*tau3^-1*t2', (0, 152): 'tau1', (0, 164): 't1*tau3*t2^-1', (1, 35): 't1', (2, 154): 'tau2*t3', (2, 121): 'tau3^-1*t2', (0, 40): 't1', (0, 116): 'tau2*t3', (0, 161): 'tau2*t3', (0, 128): 'tau3^-1*t2', (0, 54): 't3*tau2', (0, 172): 't1^-1*tau3^-1*t2', (2, 93): 't1^-1', (2, 27): 't1^-1', (1, 123): 'tau3^-1*t2', (0, 38): 't1', (2, 110): 'tau2*t3', (0, 52): 't3', (0, 170): 't1^-1', (2, 165): 't1^-1*tau3^-1*t2', (0, 108): 't2^-1', (1, 156): 'tau2*t3', (0, 53): 't3', (2, 33): 't1', (0, 119): 'tau2', (0, 160): 'tau2*t3', (0, 175): 'tau2^-1*t3^-1', (0, 127): 'tau3^-1*t2', (0, 33): 't1', (0, 165): 't1^-1', }