MPMS: Unique Distancing Problem

This is the solution for MPMP: Unique Distancing Problem
   • MPMP: Unique Distancing Problem  
http://www.think-maths.co.uk/uniquedi...

All details about Matt Parker's Maths Puzzles are on the Think Maths website:
https://www.think-maths.co.uk/maths-p...

Noah Mathematica tweet:
  / 1265787352372457472  

Yves Kompis's animation of the brute-force solution:
   • MPMP: Unique Distancing Solution!  

Allison James's online solver and their tweet.
https://nal.itch.io/ajmpmpudsc
  / 1265994596305326081  

Amy Strauss's method in GeoGebra.
https://www.geogebra.org/geometry/cx2...

Mihai Maruseac's Haskell code.
https://github.com/mihaimaruseac/blog...

Link to Imre Polik's paper.
https://drive.google.com/file/d/16T5E...

Read more about "Manhattan distance" and Taxicab geometry.
https://en.wikipedia.org/wiki/Taxicab...

All of Aswin's rotations and reflections of the two solutions.
[[0, 0], [1, 0], [3, 1], [5, 3], [2, 5], [5, 5]]
[[0, 0], [2, 0], [5, 0], [3, 3], [4, 4], [4, 5]]
[[0, 0], [2, 0], [4, 2], [0, 3], [5, 4], [5, 5]]
[[0, 0], [3, 0], [5, 0], [2, 3], [1, 4], [1, 5]]
[[0, 0], [3, 0], [0, 2], [2, 4], [4, 5], [5, 5]]
[[0, 0], [0, 1], [5, 2], [1, 3], [3, 5], [5, 5]]
[[0, 0], [4, 1], [5, 1], [3, 2], [0, 3], [0, 5]]
[[0, 0], [0, 2], [3, 3], [4, 4], [5, 4], [0, 5]]
[[1, 0], [1, 1], [2, 2], [0, 5], [3, 5], [5, 5]]
[[2, 0], [5, 0], [5, 2], [3, 4], [0, 5], [1, 5]]
[[3, 0], [5, 0], [1, 2], [5, 3], [0, 4], [0, 5]]
[[4, 0], [5, 0], [2, 1], [0, 3], [0, 5], [3, 5]]
[[4, 0], [4, 1], [3, 2], [0, 5], [2, 5], [5, 5]]
[[5, 0], [0, 1], [1, 1], [2, 2], [5, 3], [5, 5]]
[[5, 0], [5, 1], [0, 2], [4, 3], [0, 5], [2, 5]]
[[5, 0], [5, 2], [2, 3], [0, 4], [1, 4], [5, 5]]