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- Multimagic_cube abstract "In mathematics, a P-multimagic cube is a magic cube that remains magic even if all its numbers are replaced by their k-th power for 1 ≤ k ≤ P. Thus, a magic cube is bimagic when it is 2-multimagic, and trimagic when it is 3-multimagic, tetramagic when it is 4-multimagic. A P-multimagic cube is said to be semi-perfect if the k-th power cubes are perfect for 1 ≤ k < P, and the P-th power cube is semiperfect. If all P of the power cubes are perfect, the multimagic cube is said to be perfect. The first known example of a bimagic cube was given by John Hendricks in 2000; it is a semiperfect cube of order 25 and magic constant 195325. In 2003, C. Bower discovered two semi-perfect bimagic cubes of order 16, and a perfect bimagic cube of order 32.MathWorld reports that only two trimagic cubes are known, discovered by C. Bower in 2003; a semiperfect cube of order 64 and a perfect cube of order 256. It also reports that he discovered the only two known tetramagic cubes, a semiperfect cube of order 1024, and perfect cube of order 8192.".
- Multimagic_cube wikiPageID "372397".
- Multimagic_cube wikiPageRevisionID "543508695".
- Multimagic_cube hasPhotoCollection Multimagic_cube.
- Multimagic_cube subject Category:Magic_squares.
- Multimagic_cube type Abstraction100002137.
- Multimagic_cube type Arrangement107938773.
- Multimagic_cube type Array107939382.
- Multimagic_cube type Group100031264.
- Multimagic_cube type MagicSquare108269707.
- Multimagic_cube type MagicSquares.
- Multimagic_cube type Matrix108267640.
- Multimagic_cube type SquareMatrix108268085.
- Multimagic_cube comment "In mathematics, a P-multimagic cube is a magic cube that remains magic even if all its numbers are replaced by their k-th power for 1 ≤ k ≤ P. Thus, a magic cube is bimagic when it is 2-multimagic, and trimagic when it is 3-multimagic, tetramagic when it is 4-multimagic. A P-multimagic cube is said to be semi-perfect if the k-th power cubes are perfect for 1 ≤ k < P, and the P-th power cube is semiperfect. If all P of the power cubes are perfect, the multimagic cube is said to be perfect.".
- Multimagic_cube label "Cube multimagique".
- Multimagic_cube label "Cubo multimagico".
- Multimagic_cube label "Multimagic cube".
- Multimagic_cube sameAs Cube_multimagique.
- Multimagic_cube sameAs Cubo_multimagico.
- Multimagic_cube sameAs m.020m2k.
- Multimagic_cube sameAs Q1990137.
- Multimagic_cube sameAs Q1990137.
- Multimagic_cube sameAs Multimagic_cube.
- Multimagic_cube wasDerivedFrom Multimagic_cube?oldid=543508695.
- Multimagic_cube isPrimaryTopicOf Multimagic_cube.