U-tiling: UQC2105
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1690 |
*22222 |
(2,6,4) |
{6,5} |
{4.3.4.4.3.4}{3.4.4.4.4} |
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
|
|
sqc9665
|
|
P4/mmm |
123 |
tetragonal |
{4,6} |
16 |
(2,6) |
|
G
|
False
|
|
sqc10287
|
|
I4122 |
98 |
tetragonal |
{5,6} |
16 |
(2,7) |
|
D
|
False
|
|
sqc4319
|
|
P4222 |
93 |
tetragonal |
{6,5} |
8 |
(2,6) |
Topological data
| Vertex degrees | {6,5} |
| 2D vertex symbol | {4.3.4.4.3.4}{3.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<64.2:176:100 24 25 6 7 30 53 54 33 78 35 36 17 18 41 64 65 44 122 28 29 75 76 111 39 40 97 98 144 68 69 50 51 74 77 133 90 91 61 62 96 99 166 72 73 112 113 83 84 118 141 142 121 155 94 95 123 124 105 106 129 152 153 132 116 117 163 164 127 128 174 175 156 157 138 139 162 165 167 168 149 150 173 176 160 161 171 172,2 4 49 8 9 11 13 15 60 19 20 22 24 26 71 30 31 33 35 37 93 41 42 44 46 48 52 53 55 57 59 63 64 66 68 70 74 75 77 79 81 137 85 86 88 90 92 96 97 99 101 103 148 107 108 110 112 114 159 118 119 121 123 125 170 129 130 132 134 136 140 141 143 145 147 151 152 154 156 158 162 163 165 167 169 173 174 176,45 3 5 7 19 10 22 56 14 16 18 21 67 25 27 29 41 32 44 89 36 38 40 43 47 49 51 85 54 88 58 60 62 107 65 110 69 71 73 118 76 121 133 80 82 84 87 91 93 95 129 98 132 144 102 104 106 109 155 113 115 117 120 166 124 126 128 131 135 137 139 151 142 154 146 148 150 153 157 159 161 173 164 176 168 170 172 175:4 4 3 4 4 4 3 4 3 3 4 4 4 4 4 3 4 4 3 4 3 3 4 4,5 6 5 5 6 5 6 6 6 5 6 5 5 5 6 6> {(0, 29): 't1^-1', (0, 41): 't1', (2, 142): 'tau1^-1', (2, 109): 't2^-1', (1, 37): 't1', (0, 173): 't1^-1', (0, 22): 't1^-1', (2, 164): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 98): 'tau3', (0, 154): 't1', (2, 32): 't1^-1', (2, 172): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 125): 't1', (0, 174): 't1^-1', (0, 144): 't3*tau2', (0, 56): 't2*tau3^-1', (0, 164): 'tau2*t3', (2, 121): 't1', (0, 161): 't1*tau3*t2^-1', (0, 172): 'tau2^-1*t3^-1', (0, 51): 't3*tau2', (0, 62): 't2*tau3^-1', (0, 45): 't3*tau2', (0, 133): 't2*tau3^-1*t1^-1', (2, 54): 't3', (0, 97): 't1^-1', (0, 23): 't1^-1', (2, 95): 'tau3', (2, 62): 't2', (0, 46): 't3*tau2', (2, 29): 't1^-1', (2, 33): 't1', (2, 150): 'tau1', (2, 117): 'tau2', (2, 51): 't3', (2, 120): 'tau2', (0, 43): 't1', (0, 131): 'tau3^-1*t2', (0, 57): 't2*tau3^-1', (0, 175): 't1^-1*tau3^-1*t2', (0, 24): 't1^-1', (0, 145): 't3*tau2', (0, 156): 't1*tau3*t2^-1', (0, 120): 'tau2*t3', }