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// PG (470)
u1 = [1/2,sqrt(3)/2]
u2 = [-sqrt(3)/2,1/2]
// For a given vector x = (x1,x2), it can be written as
// x = alpha1*u1 + alpha2*u2
// alpha1 = (x1+x2*sqrt(3))/2
// alpha2 = (x2-x1*sqrt(3))/2
// (1,0) = (1/2)*u1 - (sqrt(3)/2)*u2
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