U-tiling: UQC4906
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1787 |
*22222 |
(4,6,2) |
{4,4,4,3} |
{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4} |
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
|
|
sqc10076
|
|
P4/mmm |
123 |
tetragonal |
{3,4,4,3} |
24 |
(4,6) |
|
G
|
False
|
|
sqc10386
|
|
I4122 |
98 |
tetragonal |
{4,4,4,3} |
24 |
(4,7) |
|
D
|
False
|
|
sqc4184
|
|
P4222 |
93 |
tetragonal |
{3,4,4,4} |
12 |
(4,6) |
Topological data
| Vertex degrees | {4,4,4,3} |
| 2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<66.2:176:45 3 5 7 9 32 33 56 14 16 18 20 43 44 67 25 27 29 31 89 36 38 40 42 47 49 51 53 76 77 58 60 62 64 98 99 69 71 73 75 133 80 82 84 86 120 121 91 93 95 97 144 102 104 106 108 131 132 155 113 115 117 119 166 124 126 128 130 135 137 139 141 164 165 146 148 150 152 175 176 157 159 161 163 168 170 172 174,2 4 6 51 10 11 13 15 17 62 21 22 24 26 28 73 32 33 35 37 39 95 43 44 46 48 50 54 55 57 59 61 65 66 68 70 72 76 77 79 81 83 139 87 88 90 92 94 98 99 101 103 105 150 109 110 112 114 116 161 120 121 123 125 127 172 131 132 134 136 138 142 143 145 147 149 153 154 156 158 160 164 165 167 169 171 175 176,100 24 25 15 16 8 9 21 55 78 35 36 19 20 66 122 37 38 30 31 43 77 111 41 42 99 144 68 69 81 82 52 53 87 133 90 91 103 104 63 64 109 166 114 115 74 75 120 112 113 85 86 143 155 125 126 96 97 131 123 124 107 108 154 118 119 165 129 130 176 156 157 147 148 140 141 153 167 168 151 152 169 170 162 163 175 173 174:7 4 7 4 7 7 4 4 7 4 7 4 7 7 4 4,4 4 4 3 4 3 4 3 3 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4> {(2, 56): 't2*tau3^-1', (2, 57): 't2*tau3^-1', (1, 127): 't1', (2, 59): 't2', (2, 53): 't3', (2, 48): 't3', (0, 42): 't1', (0, 43): 't1', (2, 174): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 175): 't1^-1', (2, 168): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 169): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 42): 't1', (2, 43): 't1', (2, 36): 't1', (2, 37): 't1', (2, 166): 'tau2^-1*t3^-1', (0, 33): 't1', (0, 164): 'tau2*t3', (2, 156): 't1*tau3*t2^-1', (2, 152): 'tau1', (2, 58): 't2', (2, 154): 't1', (2, 155): 't1*tau3*t2^-1', (2, 22): 't1^-1', (2, 23): 't1^-1', (2, 145): 't3*tau2', (2, 146): 'tau1', (2, 136): 'tau1^-1', (0, 141): 't3^-1*tau2^-1', (2, 130): 'tau3^-1', (2, 124): 'tau3^-1', (2, 125): 'tau3^-1', (0, 120): 'tau2*t3', (0, 121): 't1', (2, 119): 'tau2', (0, 119): 'tau2*t3', (2, 114): 'tau2', (2, 113): 'tau2', (2, 108): 't2^-1', (0, 108): 't2^-1*tau3', (0, 109): 't2^-1*tau3', (2, 24): 't1^-1', (1, 39): 't1', (2, 45): 't3*tau2', (2, 46): 't3*tau2', (2, 47): 't3', (0, 174): 't1^-1*tau3^-1*t2', (0, 175): 't1^-1*tau3^-1*t2'}