Graphics Reference
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Y
4
3
2
1
1
2
3
4
5
X
Fig. 12.2. A five-sided irregular polygon.
72
108
108
Fig. 12.3. A dodecahedron with one of its pentagonal sides.
Y
P
v 2
g
v 1
P
Z
X
Fig. 12.4. The dihedral angle γ between two pentagonal sides.
Figure 12.4 illustrates the geometry required to fold two pentagonal sides
through the dihedral angle γ .
The point P has coordinates
P ( x, y, z ) = (sin(72 ) , 0 ,
cos(72 ))
 
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