U-tiling: UQC2050
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1667 |
*22222 |
(2,6,4) |
{7,4} |
{4.4.4.3.4.4.4}{4.4.3.3} |
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) |
|
P
|
True
|
|
sqc3243
|
|
P4/mmm |
123 |
tetragonal |
{6,4} |
8 |
(2,5) |
|
G
|
False
|
|
sqc10127
|
|
I4122 |
98 |
tetragonal |
{7,4} |
16 |
(2,7) |
|
D
|
False
|
|
sqc4081
|
|
P4222 |
93 |
tetragonal |
{7,4} |
8 |
(2,6) |
Topological data
| Vertex degrees | {7,4} |
| 2D vertex symbol | {4.4.4.3.4.4.4}{4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<66.1:176:45 101 102 26 27 8 9 32 33 56 79 80 37 38 19 20 43 44 67 123 124 30 31 89 112 113 41 42 145 146 70 71 52 53 76 77 134 135 92 93 63 64 98 99 167 168 74 75 133 114 115 85 86 120 121 156 157 96 97 144 125 126 107 108 131 132 155 118 119 166 129 130 158 159 140 141 164 165 169 170 151 152 175 176 162 163 173 174,2 4 6 29 10 11 13 15 17 40 21 22 24 26 28 32 33 35 37 39 43 44 46 48 50 73 54 55 57 59 61 95 65 66 68 70 72 76 77 79 81 83 117 87 88 90 92 94 98 99 101 103 105 128 109 110 112 114 116 120 121 123 125 127 131 132 134 136 138 161 142 143 145 147 149 172 153 154 156 158 160 164 165 167 169 171 175 176,23 3 5 7 9 21 22 34 14 16 18 20 25 27 29 31 43 44 36 38 40 42 67 47 49 51 53 87 88 89 58 60 62 64 109 110 69 71 73 75 120 121 111 80 82 84 86 91 93 95 97 131 132 122 102 104 106 108 113 115 117 119 124 126 128 130 155 135 137 139 141 153 154 166 146 148 150 152 157 159 161 163 175 176 168 170 172 174:4 4 4 3 4 4 4 3 4 4 4 4 3 4 4 3 4 3 4 3 4 3 4 3,7 4 7 4 7 4 7 4 4 7 4 7 7 4 7 4> {(2, 53): 't3', (2, 175): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 142): 'tau1^-1', (2, 109): 't2^-1', (2, 43): 't1', (2, 98): 'tau3', (0, 48): 't3*tau2', (2, 152): 'tau1', (0, 163): 't1*tau3*t2^-1', (0, 174): 'tau2^-1*t3^-1', (0, 53): 't3*tau2', (0, 109): 't2^-1*tau3', (0, 47): 't3*tau2', (0, 164): 'tau2*t3', (2, 154): 'tau2*t3', (2, 121): 'tau3^-1*t2', (2, 174): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 108): 't2^-1', (2, 42): 't1', (0, 25): 't1^-1', (0, 4): 't1', (2, 97): 'tau3', (0, 157): 't1*tau3*t2^-1', (0, 169): 'tau2^-1*t3^-1', (1, 127): 'tau3^-1*t2', (0, 59): 't2*tau3^-1', (2, 54): 't3', (2, 143): 't2^-1*tau3*t1', (2, 110): 'tau2*t3', (0, 158): 't1*tau3*t2^-1', (0, 97): 'tau3*t2^-1', (0, 23): 't1^-1', (1, 160): 'tau2*t3', (0, 155): 't1', (1, 116): 'tau2*t3', (2, 33): 't1', (0, 31): 't1^-1', (2, 120): 'tau2', (0, 43): 't1', (1, 39): 't1', (0, 175): 't1^-1*tau3^-1*t2', (0, 24): 't1^-1', (0, 156): 't1', (0, 168): 'tau2^-1*t3^-1', (0, 33): 't1', (0, 120): 'tau2*t3', (0, 165): 't1^-1', (1, 171): 't1^-1*tau3^-1*t2', (2, 119): 'tau2', (0, 58): 't2*tau3^-1', }