U-tiling: UQC2075
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1672 |
*22222 |
(2,6,4) |
{8,3} |
{4.4.4.3.3.4.4.4}{4.4.3} |
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
|
|
sqc10138
|
|
I4122 |
98 |
tetragonal |
{8,3} |
16 |
(2,7) |
|
D
|
False
|
|
sqc4111
|
|
P4222 |
93 |
tetragonal |
{8,3} |
8 |
(2,6) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.4.3.3.4.4.4}{4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<62.1:176:45 4 5 105 106 107 31 32 22 56 15 16 83 84 85 42 43 67 26 27 127 128 129 44 89 37 38 116 117 118 48 49 149 150 151 75 76 88 59 60 138 139 140 97 98 110 70 71 171 172 173 121 133 81 82 119 120 92 93 160 161 162 132 144 103 104 130 131 155 114 115 166 125 126 136 137 163 164 154 147 148 174 175 158 159 176 169 170,2 7 48 6 9 11 13 18 59 17 20 22 24 29 70 28 31 33 35 40 92 39 42 44 46 51 50 53 55 57 62 61 64 66 68 73 72 75 77 79 84 136 83 86 88 90 95 94 97 99 101 106 147 105 108 110 112 117 158 116 119 121 123 128 169 127 130 132 134 139 138 141 143 145 150 149 152 154 156 161 160 163 165 167 172 171 174 176,23 3 5 50 8 10 33 34 14 16 61 19 21 44 25 27 72 30 32 36 38 94 41 43 67 47 49 52 54 77 89 58 60 63 65 99 69 71 74 76 111 80 82 138 85 87 121 91 93 96 98 122 102 104 149 107 109 132 113 115 160 118 120 124 126 171 129 131 155 135 137 140 142 165 166 146 148 151 153 176 157 159 162 164 168 170 173 175:3 4 4 4 3 4 4 3 4 3 4 4 4 4 4 4 4 4 3 4 3 3 3 4,8 3 8 3 3 3 8 8 8 3 8 3 3 3 8 8> {(2, 33): 't1', (0, 29): 't1^-1', (0, 120): 'tau2', (2, 175): 't1^-1*tau3^-1*t2', (0, 159): 't1', (2, 142): 't3^-1*tau2^-1', (0, 53): 't3*tau2', (2, 120): 'tau2*t3', (0, 43): 't1', (2, 109): 't2^-1*tau3', (2, 38): 't1', (0, 173): 'tau2^-1*t3^-1', (0, 109): 't2^-1', (0, 97): 'tau3*t2^-1', (1, 124): 't1', (0, 162): 't1*tau3*t2^-1', (0, 175): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 94): 't1^-1', (2, 21): 't1^-1', (0, 28): 't1^-1', (0, 9): 't1', (0, 98): 'tau3', (0, 63): 't2*tau3^-1', (0, 95): 't1^-1', (0, 30): 't1^-1', (2, 77): 't3^-1*tau2^-1', (0, 52): 't3*tau2', (0, 33): 't1', (2, 121): 'tau3^-1*t2', (0, 54): 't3', (2, 165): 't1^-1*tau3^-1*t2', (2, 170): 't1^-1', (0, 153): 'tau1', (2, 132): 't3^-1*tau2^-1', (0, 163): 't1*tau3*t2^-1', (0, 165): 't1^-1', (0, 174): 'tau2^-1*t3^-1', (0, 27): 't1^-1', (1, 91): 't1^-1', }