U-tiling: UQC4997
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1829 |
*22222 |
(4,5,2) |
{8,3,4,4} |
{6.4.4.6.6.4.4.6}{6.4.4}{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
|
|
sqc10013
|
|
P4/mmm |
123 |
tetragonal |
{7,3,4,4} |
20 |
(4,5) |
|
G
|
False
|
|
sqc10269
|
|
I4122 |
98 |
tetragonal |
{8,3,4,4} |
20 |
(4,6) |
|
D
|
False
|
|
sqc4126
|
|
P4222 |
93 |
tetragonal |
{3,4,8,4} |
10 |
(4,5) |
Topological data
| Vertex degrees | {8,3,4,4} |
| 2D vertex symbol | {6.4.4.6.6.4.4.6}{6.4.4}{4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<7.1:176:23 3 5 7 9 11 34 14 16 18 20 22 25 27 29 31 33 36 38 40 42 44 67 47 49 51 53 55 89 58 60 62 64 66 69 71 73 75 77 111 80 82 84 86 88 91 93 95 97 99 122 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 155 135 137 139 141 143 166 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176,2 14 6 11 8 10 13 17 22 19 21 24 36 28 33 30 32 35 39 44 41 43 46 80 50 55 52 54 57 102 61 66 63 65 68 113 72 77 74 76 79 83 88 85 87 90 124 94 99 96 98 101 105 110 107 109 112 116 121 118 120 123 127 132 129 131 134 146 138 143 140 142 145 149 154 151 153 156 168 160 165 162 164 167 171 176 173 175,45 4 5 105 106 30 31 21 22 56 15 16 83 84 41 42 67 26 27 127 128 43 44 89 37 38 116 117 48 49 149 150 74 75 87 88 59 60 138 139 96 97 109 110 70 71 171 172 120 121 133 81 82 118 119 92 93 160 161 131 132 144 103 104 129 130 155 114 115 166 125 126 136 137 162 163 153 154 147 148 173 174 158 159 175 176 169 170:6 4 4 4 4 6 4 6 4 4 4 4 4 4 4 6 4 4 4 4,8 3 4 4 8 4 8 3 8 3 4 4 3 4 4 3 3 3 4 3> {(2, 62): 't2*tau3^-1', (2, 63): 't2*tau3^-1', (2, 52): 't3*tau2', (2, 53): 't3', (2, 54): 't3', (1, 123): 'tau3^-1', (2, 51): 't3*tau2', (2, 172): 'tau2^-1*t3^-1', (2, 173): 'tau2^-1*t3^-1', (2, 174): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 175): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 42): 't1', (2, 43): 't1', (2, 165): 't1^-1', (0, 33): 't1', (1, 101): 't2^-1', (2, 33): 't1', (2, 162): 't1*tau3*t2^-1', (2, 28): 't1^-1', (2, 30): 't1^-1', (2, 159): 't1', (2, 152): 'tau1', (2, 153): 'tau1', (2, 27): 't1^-1', (2, 161): 't1*tau3*t2^-1', (0, 143): 't2^-1*tau3*t1', (1, 79): 't3^-1', (1, 112): 'tau2', (2, 7): 't1', (0, 132): 't3^-1*tau2^-1', (2, 131): 'tau3^-1', (0, 121): 'tau3^-1*t2', (2, 120): 'tau2', (2, 108): 't2^-1', (2, 109): 't2^-1', (0, 110): 'tau2*t3', (1, 167): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 24): 't1^-1', (2, 94): 't1^-1', (1, 145): 'tau1', (2, 130): 'tau3^-1', (2, 75): 'tau2^-1'}