[5] A perfect magic cube of order seven was given by A. H. Frost in 1866, and on March 11, 1875, an article was published in the Cincinnati Commercial newspaper on the discovery of a perfect magic cube of order 8 by Gustavus Frankenstein.
], an alternative definition for the perfect magic cube was proposed by John R. Hendricks.
This definition is based on the fact that a pandiagonal magic square has traditionally been called 'perfect', because all possible lines sum correctly.
This is not the case with the original definition, which does not require that the planar and diagonal squares be a pandiagonal magic cube.
Order 5 cube by Walter Trump and Christian Boyer, 2003-11-13; magic constant 315.