Conway's LUX Method For Magic Squares - Method

Method

Start by creating a (2n+1)-by-(2n+1) square array consisting of

  • n+1 rows of Ls,
  • 1 row of Us, and
  • n-1 rows of Xs,

and then exchange the U in the middle with the L above it.

Each letter represents a 2x2 block of numbers in the finished square.

Now replace each letter by four consecutive numbers, starting with 1, 2, 3, 4 in the centre square of the top row, and moving from block to block in the manner of the Siamese method: move up and right, wrapping around the edges, and move down whenever you are obstructed. Fill each 2x2 block according to the order prescribed by the letter:

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