A pandiagonal magic square or panmagic square (also diabolic square, diabolical square or diabolical magic square) is a magic square with the additional...

even squares. Beside this, depending on further properties, magic squares are also classified as associative magic squares, pandiagonal magic squares, most-perfect...

generalize pandiagonal magic squares to three dimensions. In a pandiagonal magic cube, all 3m planar arrays must be panmagic squares. The 6 oblique squares are...

of magic cubes may contain some simple magic squares and/or pandiagonal magic squares, but not enough to satisfy any other classifications. The magic constant...

magic cube. Minimum correct summations required = 7m2 + 6m Pandiagonal: All 3m planar arrays must be pandiagonal magic squares. The 6 oblique squares...

cube has gradually come into use. It is based on the fact that a pandiagonal magic square has traditionally been called "perfect", because all possible lines...

magic square we commonly call pandiagonal and often call perfect. He then demonstrated the concept with an order-7 cube we now class as pandiagonal,...

essentially different most-perfect magic squares. Kathleen Ollerenshaw, David S. Brée: Most-perfect Pandiagonal Magic Squares: Their Construction and Enumeration...

does not require that the planar and diagonal squares be a pandiagonal magic cube. For example, a magic cube of order 8 has 244 correct lines by the old...

columns, and diagonals is called a pandiagonal magic square. Examples of broken diagonals from the number square in the image are as follows: 3,12,14...

+ 6 simple magic squares. The new definition perfect magic cube has a total of 13m2 correct lines and 9m pandiagonal magic squares. Magic cube classes...

associative magic squares of odd order can be singular or nonsingular. Frierson, L. S. (1917), "Notes on pandiagonal and associated magic squares", in Andrews...

pandiagonal magic squares", in: Mathematics Today, 1998, vol. 34, pp. 139–143. ISSN 1361-2042. D. S. Brée and K. M. Ollerenshaw, "Pandiagonal magic-squares...

can easily verify that the magic square represented by the Sri Rama Chakra is a strongly magic square. Pandiagonal magic square Vijaya Samvatsara Vakya Panchanga...

the smaller 2×2 squares at the four corners, as well as those in the central 2×2 square, is also 34. The magic square is pandiagonal, aka diabolic: the...

S2CID 242158547. Ollerenshaw, Kathleen; Brée, D (1998). Most-perfect pandiagonal magic squares. IMA. Higham, Nicholas J; Lettington, Matthew (2022). "Optimizing...