gaussian_prime_spiral

gaussian_prime_spiral, a Python code which computes a twisting spiral path along the Gaussian primes, and displays a plot of the total trajectory.

Licensing:

The computer code and data files made available on this web page are distributed under the MIT license

Languages:

gaussian_prime_spiral is available in a MATLAB version and a Python version.

Related Data and Programs:

fibonacci_spiral, a Python code which displays points on a Fibonacci spiral, suggesting the arrangement of seeds in a sunflower, for instance.

is_gaussian_prime, a Python code which is true if a given complex number c is a Gaussian prime.

prime_plot, a Python code which displays a box plot of the prime and composite numbers.

Reference:

• John D Cook,
  At the next prime, turn left,
  https://www.johndcook.com/blog/2020/09/24/gaussian_integer_walk/
  Posted 24 September 2020.
• Christian Hill,
  Problem P3.2.2, page 99,
  Learning Scientific Programming with Python,
  Second Edition, 2020
  Cambridge University Press,
  ISBN: 978-1108745918

Source Code:

• gaussian_prime_spiral.py, the source code.
• gaussian_prime_spiral.sh, runs all the tests.
• gaussian_prime_spiral.txt, the output file.

• gaussian_prime_display.png
• gaussian_prime_spiral.png

• gps_cook.py, a code by John D Cook to plot a Gaussian Prime Spiral.
• gps_cook.png
• gps_hill.py, a code by Christian Hill to plot a Gaussian Prime Spiral.
• gps_hill.png