Trimagic Squares


In a trimagic square, each number is raised to the power of 3 to create a second magic square, but it must also be able to create another magic square when the original square is raised to the power of 2 (Bimagic square). These are also known as trebly magic squares and are 3-multimagic squares. The first trimagic square was created by Walter Trump in June 2002 and has the order of 12. This is also the smallest possible trimagic square, which was proved by Christian Boyer and Walter Trump as well. This consecutive trimagic square of order 12 has a magic constant of 870, the squared form has 83810 and the cubed square has 9082800.