Magic Cubes which are Uniform Step Cubes |
Common terms and phrases
a₁ 0 mod a₂ a2 mod added to a₁ adjacent numbers An² An²+(b+A b₁ b₁-b B₂ c₁ to obtain coefficients of powers congruences congruent modulo congruent modulo n² coördinate planes d₁ d₁-1 other numbers diabolic distinct numbers group are incongruent Hence incongruent numbers modulo increments added less than n²+1 lowest numbers magic cube magic squares mod n mod n₁ mod n² modulo n n numbers n+e+A n₁ n³+1 necessary and sufficient negative diagonal number in cell numbers modulo n² obtain the number P₁ parallel squares planes parallel powers of n prime R₁ row and column S₁ second break step semidiabolic sets of squares solution square are congruent square fall square modulo n² step is uniform sufficient condition t₁ t₁-t₂=0 mod t₂ taken modulo taken modulo n₁ throughout the square UNIFORM STEP CUBES uniform step square απ βι γι аз