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Fig. D.2 Icosahedron with
x,y,z coordinates in D 2
setting
3 | T 2 ξ +| T 2 η +| T 2 ζ = d z 2
1
| T 2 a =
3 ( 2 d x 2
6 |
T 2 ζ =
1
1
|
T 2 θ =
T 2 ξ +|
T 2 η
2
|
d y z )
y 2
2 d x y +
2 |
T 2 ξ =
1
1
3 (
|
T 2 =
T 2 η −|
d x z )
(C z 3 )
(C x 2 )
O ( D 3 basis)
D
D
3
2
10
0
1
2
|
E θ
,
|
E
3
2
1
1
2
+
10
0
10 0
010
00
3
2
1
2
0
| T 1 a , | T 1 θ , | T 1
3
2
1
1
2
0
+
10
0
10 0
01 0
00
3
2
1
2
0
|
T 2 a
,
|
T 2 θ
,
|
T 2
3
2
1
1
2
0
+
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