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Icosahedral Matrices

View these matrices in plain text format: Format 1, Format 2

Below are the 60 matrices used to generate a complete icosahedral particle given the transformed coordinates for each entry in the index of virus structures. The matrix numbers below (1-60) place the asymmetric unit in the capsid as shown in the figures above. The numbering of asymmetric units for other T-number cages is the same as that of the T=1 cage.


1)
1.000000.000000.00000
0.000001.000000.00000
0.000000.000001.00000
2)
0.30902-0.809020.50000
0.809020.500000.30902
-0.500000.309020.80902
3)
-0.80902-0.500000.30902
0.50000-0.309020.80902
-0.309020.809020.50000
4)
-0.809020.50000-0.30902
-0.50000-0.309020.80902
0.309020.809020.50000
5)
0.309020.80902-0.50000
-0.809020.500000.30902
0.500000.309020.80902
6)
-1.000000.000000.00000
0.00000-1.000000.00000
0.000000.000001.00000
7)
-0.30902-0.809020.50000
0.80902-0.50000-0.30902
0.500000.309020.80902
8)
0.309020.809020.50000
-0.809020.50000-0.30902
-0.50000-0.309020.80902
9)
-0.309020.809020.50000
-0.80902-0.500000.30902
0.50000-0.309020.80902
10)
-0.500000.309020.80902
0.30902-0.809020.50000
0.809020.500000.30902
11)
0.50000-0.309020.80902
-0.309020.809020.50000
-0.80902-0.500000.30902
12)
0.809020.500000.30902
-0.500000.309020.80902
0.30902-0.809020.50000
13)
0.80902-0.50000-0.30902
0.500000.309020.80902
-0.30902-0.809020.50000
14)
0.500000.30902-0.80902
0.309020.809020.50000
0.80902-0.500000.30902
15)
-0.50000-0.30902-0.80902
-0.30902-0.809020.50000
-0.809020.500000.30902
16)
-0.30902-0.80902-0.50000
0.80902-0.500000.30902
-0.50000-0.309020.80902
17)
0.30902-0.80902-0.50000
0.809020.50000-0.30902
0.50000-0.309020.80902
18)
-0.309020.80902-0.50000
-0.80902-0.50000-0.30902
-0.500000.309020.80902
19)
0.50000-0.30902-0.80902
-0.309020.80902-0.50000
0.809020.500000.30902
20)
-0.500000.30902-0.80902
0.30902-0.80902-0.50000
-0.80902-0.500000.30902
21)
-0.80902-0.50000-0.30902
0.50000-0.30902-0.80902
0.30902-0.809020.50000
22)
0.809020.50000-0.30902
-0.500000.30902-0.80902
-0.309020.809020.50000
23)
0.80902-0.500000.30902
0.500000.30902-0.80902
0.309020.809020.50000
24)
-0.809020.500000.30902
-0.50000-0.30902-0.80902
-0.30902-0.809020.50000
25)
-0.50000-0.309020.80902
-0.30902-0.80902-0.50000
0.80902-0.500000.30902
26)
0.500000.309020.80902
0.309020.80902-0.50000
-0.809020.500000.30902
27)
0.000000.000001.00000
1.000000.000000.00000
0.000001.000000.00000
28)
0.000001.000000.00000
0.000000.000001.00000
1.000000.000000.00000
29)
0.00000-1.000000.00000
0.000000.000001.00000
-1.000000.000000.00000
30)
0.000000.00000-1.00000
-1.000000.000000.00000
0.000001.000000.00000
31)
0.00000-1.000000.00000
0.000000.00000-1.00000
1.000000.000000.00000
32)
0.000001.000000.00000
0.000000.00000-1.00000
-1.000000.000000.00000
33)
-0.80902-0.500000.30902
-0.500000.30902-0.80902
0.30902-0.80902-0.50000
34)
0.80902-0.50000-0.30902
-0.50000-0.30902-0.80902
0.309020.80902-0.50000
35)
0.500000.30902-0.80902
-0.30902-0.80902-0.50000
-0.809020.50000-0.30902
36)
-0.30902-0.80902-0.50000
-0.809020.50000-0.30902
0.500000.30902-0.80902
37)
-0.809020.50000-0.30902
0.500000.30902-0.80902
-0.30902-0.80902-0.50000
38)
-0.50000-0.30902-0.80902
0.309020.80902-0.50000
0.80902-0.50000-0.30902
39)
-0.500000.30902-0.80902
-0.309020.809020.50000
0.809020.50000-0.30902
40)
0.000000.00000-1.00000
1.000000.000000.00000
0.00000-1.000000.00000
41)
-0.809020.500000.30902
0.500000.309020.80902
0.309020.80902-0.50000
42)
0.809020.50000-0.30902
0.50000-0.309020.80902
0.30902-0.80902-0.50000
43)
-0.309020.80902-0.50000
0.809020.500000.30902
0.50000-0.30902-0.80902
44)
0.50000-0.30902-0.80902
0.30902-0.809020.50000
-0.80902-0.50000-0.30902
45)
-0.80902-0.50000-0.30902
-0.500000.309020.80902
-0.309020.80902-0.50000
46)
-0.30902-0.809020.50000
-0.809020.500000.30902
-0.50000-0.30902-0.80902
47)
-0.309020.809020.50000
0.809020.50000-0.30902
-0.500000.30902-0.80902
48)
1.000000.000000.00000
0.00000-1.000000.00000
0.000000.00000-1.00000
49)
0.309020.80902-0.50000
0.80902-0.50000-0.30902
-0.50000-0.30902-0.80902
50)
0.30902-0.80902-0.50000
-0.80902-0.500000.30902
-0.500000.30902-0.80902
51)
-1.000000.000000.00000
0.000001.000000.00000
0.000000.00000-1.00000
52)
0.809020.500000.30902
0.50000-0.30902-0.80902
-0.309020.80902-0.50000
53)
0.30902-0.809020.50000
-0.80902-0.50000-0.30902
0.50000-0.30902-0.80902
54)
-0.500000.309020.80902
-0.309020.80902-0.50000
-0.80902-0.50000-0.30902
55)
0.000000.000001.00000
-1.000000.000000.00000
0.00000-1.000000.00000
56)
0.50000-0.309020.80902
0.30902-0.80902-0.50000
0.809020.50000-0.30902
57)
0.309020.809020.50000
0.80902-0.500000.30902
0.500000.30902-0.80902
58)
0.80902-0.500000.30902
-0.50000-0.309020.80902
-0.30902-0.80902-0.50000
59)
-0.50000-0.309020.80902
0.309020.809020.50000
-0.809020.50000-0.30902
60)
0.500000.309020.80902
-0.30902-0.809020.50000
0.80902-0.50000-0.30902


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