Transformations

Magic squares can be easily transformed into other magic squares by reflections and rotations. But there are also other transformations, which generate different new magic squares.

  • 174612555494720
    1651214243245013
    5310481918451156
    4423491415522241
    25642396227374
    83331583566029
    63264012861338
    34757325363059
    magic square
  • 346382544531617
    726336423105146
    574031249482112
    321583914194255
    528356215184354
    36616275245249
    303603722115047
    593829441561320
    rotation
  • 593829441561320
    303603722115047
    36616275245249
    528356215184354
    321583914194255
    574031249482112
    726336423105146
    346382544531617
    reflection

But there are also other transformations that often generate new magic squares.

In this section, you can interactively perform many transformations, analyze the square or display the numbers of the square in another number system.