U-tiling: UQC1984
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1635 |
*22222 |
(2,5,4) |
{4,6} |
{4.4.6.4}{6.4.4.6.4.4} |
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
|
True
|
|
sqc10059
|
|
P4/mmm |
123 |
tetragonal |
{5,4} |
20 |
(2,5) |
|
G
|
False
|
|
sqc10426
|
|
I4122 |
98 |
tetragonal |
{6,4,4} |
20 |
(3,6) |
|
D
|
False
|
|
sqc4155
|
|
P4222 |
93 |
tetragonal |
{6,4} |
10 |
(2,5) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.4.6.4}{6.4.4.6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.2:176:100 4 5 105 106 30 31 21 22 78 15 16 83 84 41 42 122 26 27 127 128 43 44 111 37 38 116 117 144 48 49 149 150 74 75 87 88 133 59 60 138 139 96 97 109 110 166 70 71 171 172 120 121 81 82 118 119 155 92 93 160 161 131 132 103 104 129 130 114 115 125 126 136 137 162 163 153 154 147 148 173 174 158 159 175 176 169 170,2 25 6 11 8 10 13 36 17 22 19 21 24 28 33 30 32 35 39 44 41 43 46 69 50 55 52 54 57 91 61 66 63 65 68 72 77 74 76 79 113 83 88 85 87 90 94 99 96 98 101 124 105 110 107 109 112 116 121 118 120 123 127 132 129 131 134 157 138 143 140 142 145 168 149 154 151 153 156 160 165 162 164 167 171 176 173 175,45 3 5 7 9 11 56 14 16 18 20 22 67 25 27 29 31 33 89 36 38 40 42 44 47 49 51 53 55 58 60 62 64 66 69 71 73 75 77 133 80 82 84 86 88 91 93 95 97 99 144 102 104 106 108 110 155 113 115 117 119 121 166 124 126 128 130 132 135 137 139 141 143 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:4 6 4 4 4 4 4 4 4 6 4 4 4 6 4 4 4 4 6 4,6 4 6 4 4 4 4 4 4 6 4 4 6 4 4 4 4 4 4 4> {(2, 33): 't1', (0, 29): 't1^-1', (1, 123): 'tau3^-1*t2', (0, 51): 't3*tau2', (1, 156): 'tau2*t3', (0, 159): 't1', (0, 53): 't3', (0, 62): 't2*tau3^-1', (0, 43): 't1', (1, 79): 't3^-1*tau2^-1', (0, 119): 'tau2', (0, 173): 'tau2^-1*t3^-1', (0, 109): 't2^-1', (0, 131): 'tau3^-1', (0, 121): 't1', (0, 162): 't1*tau3*t2^-1', (0, 175): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 152): 'tau1', (0, 154): 't1', (1, 167): 't1^-1*tau3^-1*t2', (1, 35): 't1', (0, 28): 't1^-1', (0, 63): 't2*tau3^-1', (0, 30): 't1^-1', (0, 52): 't3*tau2', (0, 161): 't1*tau3*t2^-1', (0, 42): 't1', (0, 54): 't3', (2, 165): 't1^-1', (0, 172): 'tau2^-1*t3^-1', (0, 153): 'tau1', (0, 130): 'tau3^-1', (0, 120): 'tau2', (0, 174): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 27): 't1^-1', (0, 94): 't1^-1', (0, 108): 't2^-1', }