# Definition:Perfect Magic Cube/Historical Note

## Historical Note on Perfect Magic Cube

The first perfect magic cube to be found appears to be the order $7$ one as reported by Andrew Hollingworth Frost in *The Quarterly Journal of Pure and Applied Mathematics* in $1866$.

The next one was the order $8$ one discovered by Gustavus Frankenstein, as reported in *The Cincinnati Commercial* in $1875$.

David Wells reports in his *Curious and Interesting Numbers, 2nd ed.* of $1997$ that the first to be published was in $1905$, but it is clear that more recent research supersedes his information.

This appears to be a misprint for the one of order $9$ discovered by Charles Planck, and published by him in his *The Theory of Path Nasiks* of $1905$.

He also reports, accurately for the time, that it was not known whether or not there exist perfect magic cubes whose order is $5$ or $6$.

However, since $1997$ an example of each has been found.

## Sources

- 1866: A.H. Frost:
*Invention of Magic Cubes, and Construction of Magic Squares Possessing Additional Properties*(*The Quarterly Journal of Pure and Applied Mathematics***Vol. 7**: pp. 92 – 102)

- 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): $8$ - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $8$