U-tiling: UQC5122
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1909 |
*2244 |
(4,5,2) |
{4,4,4,4} |
{20.3.3.20}{20.20.3.3}{3.3.3.3}{... |
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) |
|
G
|
False
|
|
sqc10582
|
|
I-42d |
122 |
tetragonal |
{4,4,4,4} |
22 |
(4,6) |
|
D
|
False
|
|
sqc4659
|
|
P4/mmm |
123 |
tetragonal |
{4,4,4,4} |
11 |
(4,5) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {20.3.3.20}{20.20.3.3}{3.3.3.3}{20.20.20.20} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<35.1:176:67 3 5 7 9 11 78 14 16 18 20 22 34 25 27 29 31 33 36 38 40 42 44 56 47 49 51 53 55 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88 155 91 93 95 97 99 166 102 104 106 108 110 122 113 115 117 119 121 124 126 128 130 132 144 135 137 139 141 143 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176,2 10 6 9 8 33 13 21 17 20 19 44 24 32 28 31 30 35 43 39 42 41 46 54 50 53 52 77 57 65 61 64 63 88 68 76 72 75 74 79 87 83 86 85 90 98 94 97 96 121 101 109 105 108 107 132 112 120 116 119 118 123 131 127 130 129 134 142 138 141 140 165 145 153 149 152 151 176 156 164 160 163 162 167 175 171 174 173,89 4 5 94 95 19 20 21 22 100 15 16 105 106 111 26 27 116 117 52 53 54 55 122 37 38 127 128 63 64 65 66 133 48 49 138 139 144 59 60 149 150 155 70 71 160 161 85 86 87 88 166 81 82 171 172 92 93 107 108 109 110 103 104 114 115 140 141 142 143 125 126 151 152 153 154 136 137 147 148 158 159 173 174 175 176 169 170:20 3 3 3 3 3 3 3 3 20 3 3 3 3 3 3 3 3,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(1, 175): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 120): 't2^-1', (2, 62): 't3*tau2*t1^-1', (2, 63): 't3*tau2*t1^-1', (2, 152): 't3*tau2*t1^-1', (2, 153): 't3*tau2*t1^-1', (1, 142): 'tau1', (2, 150): 't3*tau2*t1^-1', (2, 151): 't3*tau2*t1^-1', (1, 87): 't3^-1*tau2^-1*t3^-1', (0, 11): 't1^-1*tau2*t3', (1, 43): 't1', (1, 109): 'tau3', (1, 76): 't3^-1', (2, 42): 't1*tau2^-1*t3^-1', (2, 43): 't1*tau2^-1*t3^-1', (0, 165): 't3^-1*tau2^-1*t1'}