An optimal magic cube of order n is a magic cube whose row sums, column sums and oblique sums of 9 n layers are n(n 3+1)/2. The author proved that optimal magic cubes of order n may be constructed as long as n and 2, ...An optimal magic cube of order n is a magic cube whose row sums, column sums and oblique sums of 9 n layers are n(n 3+1)/2. The author proved that optimal magic cubes of order n may be constructed as long as n and 2, 3, 5, 7 are relatively prime, and a formula for making optimal magic cubes by using optimal Latin squares and optimal magic squares was given.展开更多
文摘An optimal magic cube of order n is a magic cube whose row sums, column sums and oblique sums of 9 n layers are n(n 3+1)/2. The author proved that optimal magic cubes of order n may be constructed as long as n and 2, 3, 5, 7 are relatively prime, and a formula for making optimal magic cubes by using optimal Latin squares and optimal magic squares was given.
