A multimagic square such that the first, second, third, and fourth powers of the elements all yield magic squares is known as a tetramagic square. The first known tetramagic square was constructed by Christian Boyer and André Viricel in May 2001. It is of order 512 (Boyer 2001).

# Tetramagic Square

## See also

Bimagic Square, Multimagic Square, Pentamagic Square, Trimagic Square## Explore with Wolfram|Alpha

## References

Boyer, C. "Les premiers carrés tétra et pentamagiques."*Pour La Science*, No. 286, pp. 98-102, Aug. 2001.Boyer, C. "Tetramagic Squares and Pentamagic Squares." http://www.multimagie.com/English/Tetra-penta.htm.

## Referenced on Wolfram|Alpha

Tetramagic Square## Cite this as:

Weisstein, Eric W. "Tetramagic Square."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/TetramagicSquare.html