U-tiling: UQC4616
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc8 |
*245 |
(1,1,1) |
{4} |
{5.5.5.5} |
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
|
|
sqc9279
|
|
P4/mmm |
123 |
tetragonal |
{3,4,4,4} |
20 |
(4,5) |
|
G
|
False
|
|
sqc9474
|
|
I4122 |
98 |
tetragonal |
{4,4,4,4} |
20 |
(4,6) |
|
D
|
False
|
|
sqc3718
|
|
P4222 |
93 |
tetragonal |
{4,4,4,4} |
10 |
(4,5) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {5.5.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<58.2:160:41 3 5 7 9 30 51 13 15 17 19 40 61 23 25 27 29 81 33 35 37 39 43 45 47 49 70 53 55 57 59 90 63 65 67 69 121 73 75 77 79 110 83 85 87 89 131 93 95 97 99 120 141 103 105 107 109 151 113 115 117 119 123 125 127 129 150 133 135 137 139 160 143 145 147 149 153 155 157 159,2 4 45 8 27 10 12 14 55 18 37 20 22 24 65 28 30 32 34 85 38 40 42 44 48 67 50 52 54 58 87 60 62 64 68 70 72 74 125 78 107 80 82 84 88 90 92 94 135 98 117 100 102 104 145 108 110 112 114 155 118 120 122 124 128 147 130 132 134 138 157 140 142 144 148 150 152 154 158 160,91 22 23 6 7 28 29 20 71 32 33 16 17 38 39 111 26 27 40 101 36 37 131 62 63 46 47 68 69 80 121 82 83 56 57 88 89 100 151 66 67 110 102 103 76 77 108 109 141 86 87 120 112 113 96 97 118 119 106 107 116 117 142 143 126 127 148 149 140 152 153 136 137 158 159 146 147 160 156 157:5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 61): 'tau2^-1*t3^-1', (2, 62): 'tau2^-1*t3^-1', (2, 57): 't2*tau3^-1', (2, 58): 't2*tau3^-1', (1, 126): 't3^-1*tau2^-1', (2, 52): 't2*tau3^-1', (1, 114): 't1', (2, 48): 't3*tau2', (1, 116): 'tau3^-1*t2', (2, 51): 't2*tau3^-1', (1, 106): 'tau2*t3', (2, 39): 't1', (0, 39): 't1', (2, 28): 't1^-1', (2, 157): 'tau2^-1*t3^-1', (2, 158): 'tau2^-1*t3^-1', (2, 159): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 30): 't1', (0, 159): 't1^-1*tau3^-1*t2', (2, 27): 't1^-1', (2, 148): 't1*tau3*t2^-1', (2, 21): 't1^-1', (2, 22): 't1^-1', (2, 151): 'tau2^-1*t3^-1', (1, 84): 't1^-1', (2, 147): 't1*tau3*t2^-1', (2, 140): 't1', (2, 141): 't1*tau3*t2^-1', (2, 142): 't1*tau3*t2^-1', (2, 139): 'tau1', (2, 132): 't3*tau2', (0, 129): 't3^-1*tau2^-1', (2, 119): 'tau3^-1', (0, 119): 'tau3^-1*t2', (2, 49): 't3', (2, 109): 'tau2', (0, 110): 't1', (0, 109): 'tau2*t3', (1, 36): 't1', (1, 156): 't1^-1*tau3^-1*t2', (2, 59): 't2', (2, 20): 't1^-1', (2, 47): 't3*tau2'}