U-tiling: UQC4619
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
|
False
|
|
sqc3436
|
|
Fmmm |
69 |
orthorhombic |
{4,4,4,4} |
10 |
(4,5) |
|
G
|
False
|
|
sqc9609
|
|
Fddd |
70 |
orthorhombic |
{4,4,4,4} |
20 |
(4,6) |
|
D
|
False
|
|
sqc3696
|
|
Cmma |
67 |
orthorhombic |
{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
<58.1:160:21 3 5 7 9 20 31 13 15 17 19 23 25 27 29 40 33 35 37 39 61 43 45 47 49 60 71 53 55 57 59 63 65 67 69 80 73 75 77 79 121 83 85 87 89 110 131 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 25 8 17 10 12 14 35 18 20 22 24 28 37 30 32 34 38 40 42 44 65 48 57 50 52 54 75 58 60 62 64 68 77 70 72 74 78 80 82 84 125 88 107 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 82 83 6 7 88 89 50 111 102 103 16 17 108 109 60 131 122 123 26 27 128 129 70 151 142 143 36 37 148 149 80 101 112 113 46 47 118 119 81 92 93 56 57 98 99 141 152 153 66 67 158 159 121 132 133 76 77 138 139 86 87 120 96 97 110 106 107 116 117 126 127 160 136 137 150 146 147 156 157:5 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): 'tau3^-1', (2, 62): 'tau3^-1', (1, 124): 't3^-1', (1, 126): 't3^-1*tau1*t2', (1, 114): 't2^-1', (1, 116): 'tau1', (2, 50): 't3^-1', (1, 104): 't2', (2, 40): 't2^-1', (2, 37): 'tau3', (2, 38): 'tau3', (2, 39): 't1^-1', (2, 32): 'tau3', (2, 28): 'tau2^-1', (2, 29): 't1^-1', (2, 158): 'tau3', (2, 31): 'tau3', (0, 159): 't2*tau1*t3^-1', (2, 27): 'tau2^-1', (2, 21): 'tau2^-1', (2, 22): 'tau2^-1', (0, 150): 't2', (1, 86): 'tau1', (2, 137): 'tau2^-1', (2, 138): 'tau2^-1', (2, 139): 'tau2^-1*t1*tau3', (0, 130): 't3', (0, 129): 't3^-1*tau1*t2', (2, 0): 't3', (2, 129): 'tau2*t1^-1*tau3^-1', (2, 131): 'tau2^-1', (0, 120): 't3^-1', (2, 10): 't2', (2, 157): 'tau3', (0, 119): 'tau1', (0, 140): 't2^-1', (2, 132): 'tau2^-1', (0, 109): 'tau1^-1', (1, 156): 't2*tau1*t3^-1', (1, 94): 't3^-1'}