U-tiling: UQC1856
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1367 |
*2244 |
(2,4,4) |
{3,4} |
{4.16.6}{6.16.4.16} |
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
|
False
|
|
sqc3853
|
|
P4/mmm |
123 |
tetragonal |
{4,3} |
12 |
(2,4) |
|
G
|
False
|
|
sqc9847
|
|
I41/a |
88 |
tetragonal |
{4,3,3} |
24 |
(3,5) |
|
D
|
False
|
|
sqc9848
|
|
I41/amd |
141 |
tetragonal |
{4,3} |
24 |
(2,4) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {4.16.6}{6.16.4.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<15.1:160:21 22 5 6 67 68 19 20 31 32 15 16 77 78 25 26 87 88 49 50 35 36 107 108 59 60 131 132 45 46 117 118 151 152 55 56 97 98 91 92 65 66 79 80 111 112 75 76 121 122 85 86 119 120 95 96 109 110 141 142 105 106 115 116 125 126 157 158 149 150 135 136 147 148 159 160 145 146 155 156,61 3 64 7 10 9 71 13 74 17 20 19 81 23 84 27 30 29 101 33 104 37 40 39 111 43 114 47 50 49 91 53 94 57 60 59 63 67 70 69 73 77 80 79 83 87 90 89 93 97 100 99 103 107 110 109 113 117 120 119 151 123 154 127 130 129 141 133 144 137 140 139 143 147 150 149 153 157 160 159,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160:4 16 6 4 4 16 6 4 6 4 6 4,4 3 4 3 4 3 4 3 4 3 4 3 3 3 3 3 3 3 4 3 4 3 3 3> {(0, 146): 't2*tau3^-1*t1^-1*tau2*t3', (0, 59): 't2^-1', (0, 26): 'tau2^-1*t3^-1', (0, 48): 't3^-1', (0, 147): 't2*tau3^-1*t1^-1*tau2*t3', (0, 158): 'tau1', (0, 118): 't3^-1', (0, 108): 't2', (0, 56): 't2^-1*tau3', (0, 46): 't3^-1*tau2^-1', (0, 27): 'tau2^-1*t3^-1', (0, 49): 't3^-1', (0, 16): 't1^-1', (0, 6): 't1^-1', (0, 159): 'tau1', (0, 148): 'tau1^-1', (0, 119): 't3^-1', (0, 109): 't2', (0, 57): 't2^-1*tau3', (0, 47): 't3^-1*tau2^-1', (0, 36): 'tau3*t2^-1', (0, 17): 't1^-1', (0, 7): 't1^-1', (0, 156): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 127): 't3*tau2*t1^-1*tau3^-1*t2', (0, 149): 'tau1^-1', (0, 37): 'tau3*t2^-1', (0, 58): 't2^-1', }