Most-perfect Pandiagonal Magic Squares: Their Construction and Enumeration |
Contents
Pandiagonal magic squares | 1 |
Mapping between mostperfect and doublyeven reversible squares | 33 |
The construction of principal reversible squares | 39 |
Copyright | |
9 other sections not shown
Common terms and phrases
ascending order binomial coefficients blocks similar complete Concrete mathematics consecutive integers corner block Bo David Brée defined doubly-even order doubly-even reversible squares equal cross sums f₁ factor of n factors of ƒ Hence integers distant KATHLEEN OLLERENSHAW knight's path largest corner block Latin squares leftmost legitimate transformations lower auxiliary square mathematics McClintock squares method of construction mixed auxiliary squares modulo most-perfect squares normalized primitive square number of essentially number of principal octal Ollerenshaw pairs of integers pandiagonal magic squares pandiagonal squares Pascal triangle position prime principal diagonals principal reversible square progressive factors progressive path proof qi,j reverse similarity ri,j Rosser and Walker rows and columns rows/columns S-complements selecting sequences of integers shown in Figure slots smallest corner block square shown squares of doubly-even squares of order steps summation top row top-left corner total number upper auxiliary square values vertical couplets