Multimagic Squares

@article{Derksen2007MultimagicS,
  title={Multimagic Squares},
  author={Harm Derksen and Christian Eggermont and Arno van den Essen},
  journal={The American Mathematical Monthly},
  year={2007},
  volume={114},
  pages={703-713}
}
  • Harm Derksen, Christian Eggermont, Arno van den Essen
  • Published in
    The American Mathematical…
    2007
  • Computer Science, Mathematics
  • In this paper we give the first method for constructing n-multimagic squares (and hypercubes) for any n. We give an explicit formula in the case of squares and an effective existence proof in the higher dimensional case. Finally we prove that n-multimagic squares do not exist for certain orders. 

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    Figures and Topics from this paper.

    Explore Further: Topics Discussed in This Paper

    Citations

    Publications citing this paper.

    References

    Publications referenced by this paper.
    SHOWING 1-4 OF 4 REFERENCES

    How Many Squares Are There, Mr. Franklin?: Constructing and Enumerating Franklin Squares

    VIEW 6 EXCERPTS
    HIGHLY INFLUENTIAL

    Unsolved problems on magic squares

    • Gakuho Abe
    • Computer Science, Mathematics
    • Discret. Math.
    • 1994
    VIEW 5 EXCERPTS
    HIGHLY INFLUENTIAL

    Les premiers carrés tétra et pentamagiques

    • C. Boyer
    • Pour la science (August
    • 2001
    VIEW 1 EXCERPT

    and H

    • W. W. Rouse Bal
    • S. M. Coxeter, Mathematical Recreations and Essays, 12th ed., University of Toronto Press, Toronto,
    • 1974
    VIEW 2 EXCERPTS