Recreating the Vertigo poster

In his new book The Perfect Shape, Øyvind Hammer shows how to create a graph something like the poster for Alfred Hitchcock’s movie Vertigo.

Poster from Hitchcock's Vertigo

Hammer’s code uses a statistical language called Past that I’d never heard of. Here’s my interpretation of his code using Python.

      import matplotlib.pyplot as plt
      from numpy import arange, sin, cos, exp
      
      i  = arange(5000)
      x1 = 1.0*cos(i/10.0)*exp(-i/2500.0)
      y1 = 1.4*sin(i/10.0)*exp(-i/2500.0)
      d  = 450.0
      vx = cos(i/d)*x1 - sin(i/d)*y1
      vy = sin(i/d)*x1 + cos(i/d)*y1
      
      plt.plot(vx, vy, "k")
      
      h = max(vy) - min(vy)
      w = max(vx) - min(vx)
      plt.axes().set_aspect(w/h)
      plt.show()

This code produces what’s called a harmonograph, related to the motion of a pendulum free to move in x and y directions:

Harmonograph

It’s not exactly the same as the movie poster, but it’s definitely similar. If you find a way to modify the code to make it closer to the poster, leave a comment below.

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