A pandiagonal magic square or panmagic square (also diabolic square, diabolical square or diabolical magic square) is a magic square with the additional...
36 KB (2,450 words) - 11:08, 12 July 2024
even squares. Beside this, depending on further properties, magic squares are also classified as associative magic squares, pandiagonal magic squares, most-perfect...
281 KB (22,272 words) - 20:25, 11 September 2024
associative magic squares of odd order can be singular or nonsingular. Frierson, L. S. (1917), "Notes on pandiagonal and associated magic squares", in Andrews...
4 KB (431 words) - 19:13, 1 June 2023
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...
1 KB (178 words) - 11:11, 12 July 2024
magic cube. Minimum correct summations required = 7m2 + 6m Pandiagonal: All 3m planar arrays must be pandiagonal magic squares. The 6 oblique squares...
10 KB (1,247 words) - 21:20, 15 August 2024
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...
2 KB (334 words) - 19:42, 6 February 2022
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,...
29 KB (4,008 words) - 13:37, 27 May 2024
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...
8 KB (681 words) - 11:12, 12 July 2024
Broken diagonal (category Magic squares)
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...
3 KB (500 words) - 22:58, 26 October 2022
essentially different most-perfect magic squares. Kathleen Ollerenshaw, David S. Brée: Most-perfect Pandiagonal Magic Squares: Their Construction and Enumeration...
6 KB (570 words) - 23:45, 9 August 2023
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...
5 KB (552 words) - 13:17, 27 May 2024
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...
12 KB (1,093 words) - 21:10, 1 September 2024
+ 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...
2 KB (223 words) - 11:11, 12 July 2024
Parshvanatha temple, Khajuraho (redirect from Jaina square)
the smaller 2x2 squares at the four corners, as well as those in the central 2x2 square, is also 34. The magic square is pandiagonal, aka diabolic: the...
15 KB (890 words) - 05:23, 2 August 2024
Sriramachakra (category 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...
8 KB (933 words) - 16:46, 23 November 2022
S2CID 242158547. Ollerenshaw, Kathleen; Brée, D (1998). Most-perfect pandiagonal magic squares. IMA. Higham, Nicholas J; Lettington, Matthew (2022). "Optimizing...
17 KB (1,781 words) - 04:03, 12 August 2024