Quality of Fibonacci-Generated Numbers Analyze and visualize the planes in the unit cube, on which all points fall that are generated by the Fibonacci recursion Ui+1 := (Ui + Ui−1) mod 1 .

Exercise 2.16 Use the inversion method and uniformly distributed U ∼ U[0, 1] to calculate a stochastic variable X with distribution F(x)=1 − e−2x(x−a) , x ≥ a .