U-tiling: UQC4584
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1489 |
*22222 |
(4,5,2) |
{4,3,6,4} |
{5.5.5.5}{5.5.5}{5.5.5.5.5.5}{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
|
False
|
|
sqc3421
|
|
Fmmm |
69 |
orthorhombic |
{3,6,4,4} |
10 |
(4,5) |
|
G
|
False
|
|
sqc9779
|
|
Fddd |
70 |
orthorhombic |
{4,3,6,4} |
20 |
(4,6) |
|
D
|
False
|
|
sqc508
|
|
Pmmm |
47 |
orthorhombic |
{4,6,3,4} |
5 |
(4,5) |
Topological data
| Vertex degrees | {4,3,6,4} |
| 2D vertex symbol | {5.5.5.5}{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
<56.1:160:21 3 5 7 9 90 31 13 15 17 19 110 23 25 27 29 130 33 35 37 39 150 61 43 45 47 49 120 71 53 55 57 59 100 63 65 67 69 160 73 75 77 79 140 121 83 85 87 89 131 93 95 97 99 141 103 105 107 109 151 113 115 117 119 123 125 127 129 133 135 137 139 143 145 147 149 153 155 157 159,2 4 25 86 8 10 12 14 35 106 18 20 22 24 126 28 30 32 34 146 38 40 42 44 65 116 48 50 52 54 75 96 58 60 62 64 156 68 70 72 74 136 78 80 82 84 125 88 90 92 94 135 98 100 102 104 145 108 110 112 114 155 118 120 122 124 128 130 132 134 138 140 142 144 148 150 152 154 158 160,91 82 83 6 7 18 19 50 111 102 103 16 17 60 131 122 123 26 27 38 39 70 151 142 143 36 37 80 101 112 113 46 47 58 59 81 92 93 56 57 141 152 153 66 67 78 79 121 132 133 76 77 86 87 108 109 120 96 97 118 119 110 106 107 116 117 126 127 148 149 160 136 137 158 159 150 146 147 156 157:5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5,4 3 6 4 4 3 4 3 4 4 3 3 6 3 3 3 6 4 6 4> {(2, 61): 'tau3^-1', (2, 62): 'tau3^-1', (1, 125): 'tau2', (1, 124): 't3^-1', (1, 114): 't2^-1', (2, 50): 't3^-1', (1, 104): 't2', (2, 40): 't2^-1', (2, 39): 't1^-1', (2, 32): 'tau3', (0, 39): 'tau3', (2, 29): 't1^-1', (2, 158): 't2*tau1*t3^-1', (2, 31): 'tau3', (0, 159): 'tau3', (1, 94): 't3^-1', (2, 21): 'tau2^-1', (2, 22): 'tau2^-1', (0, 150): 't2', (2, 147): 't2^-1*tau1^-1*t3', (0, 139): 'tau2^-1', (1, 75): 'tau2', (2, 137): 't3*tau1^-1*t2^-1', (0, 140): 't2^-1', (2, 139): 'tau2^-1*t1*tau3', (0, 130): 't3', (0, 129): 'tau2', (2, 128): 't3^-1*tau1*t2', (2, 129): 'tau2*t1^-1*tau3^-1', (2, 131): 'tau2^-1', (0, 120): 't3^-1', (2, 117): 'tau1', (2, 108): 'tau1^-1', (1, 65): 'tau3^-1', (2, 110): 't2^-1', (1, 35): 'tau3', (2, 132): 'tau2^-1', (2, 98): 'tau1^-1', (2, 0): 't3', (2, 87): 'tau1'}