This article possibly contains original research. Please improve it by verifying the claims made and adding inline citations. Statements consisting only of original research should be removed.(November 2016) (Learn how and when to remove this message)
In mathematics, a perfect magic cube is a magic cube in which not only the columns, rows, pillars, and main space diagonals, but also the cross section diagonals sum up to the cube's magic constant.[1][2][3]
Perfect magic cubes of order one are trivial; cubes of orders two to four can be proven not to exist,[4] and cubes of orders five and six were first discovered by Walter Trump and Christian Boyer on November 13 and September 1, 2003, respectively.[5] A perfect magic cube of order seven was given by A. H. Frost in 1866, and on March 11, 1875, an article was published in the Cincinnati Commercial newspaper on the discovery of a perfect magic cube of order 8 by Gustavus Frankenstein. Perfect magic cubes of orders nine and eleven have also been constructed.
The first perfect cube of order 10 was constructed in 1988 (Li Wen, China).[6]
^W., Weisstein, Eric. "Perfect Magic Cube". mathworld.wolfram.com. Retrieved 4 December 2016.{{cite web}}: CS1 maint: multiple names: authors list (link)
^Alspach, Brian; Heinrich, Katherine. "Perfect Magic Cubes of Order 4m" (PDF). Retrieved 3 December 2016.
^Weisstein, Eric W. (12 December 2002). CRC Concise Encyclopedia of Mathematics, Second Edition. CRC Press. ISBN 9781420035223.
^Pickover, Clifford A. (28 November 2011). The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures across Dimensions. Princeton University Press. ISBN 978-1400841516.
^"Perfect Magic Cubes". www.trump.de. Retrieved 4 December 2016.
^Cite error: The named reference :1 was invoked but never defined (see the help page).
and 24 Related for: Perfect magic cube information
In mathematics, a perfectmagiccube is a magiccube in which not only the columns, rows, pillars, and main space diagonals, but also the cross section...
also sum up to the cube'smagic number, the cube is called a perfectmagiccube; otherwise, it is called a semiperfect magiccube. The number n is called...
Every magiccube may be assigned to one of six magiccube classes, based on the cube characteristics. This new system is more precise in defining magic cubes...
In mathematics, a magic hypercube is the k-dimensional generalization of magic squares and magiccubes, that is, an n × n × n × ... × n array of integers...
cubes were also sometimes called a "perfectmagiccube"). It is now known that there are three higher classes of cubes. The (proper) diagonal magic cube...
A pantriagonal magiccube is a magiccube where all 4m2 pantriagonals sum correctly. There are 4 one-segment pantriagonals, 12(m − 1) two-segment pantriagonals...
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...
In recreational mathematics, a pandiagonal magiccube is a magiccube with the additional property that all broken diagonals (parallel to exactly two of...
inlaid magic squares and other three dimensional magic figures like magic spheres and magic cylinders in Theory of magic squares and of magiccubes (1888)...
breakthrough in magic squares, and the first perfectmagiccube 1976 Feb Some elegant brick-packing problems, and a new order-7 perfectmagiccube 1976 Mar On...
only even perfect number of the form n3 + 1 is 28 (Makowski 1962). 28 is also the only even perfect number that is a sum of two positive cubes of integers...
1964). "A Unique Magic Hexagon". Recreational Mathematics Magazine. Retrieved 2022-07-14. Sloane, N. J. A. (ed.). "Sequence A082897 (Perfect totient numbers...
perfect power that is one more than another positive perfect power, since the square of 3 is one more than the cube of 2. 9 is the sum of the cubes of...
The Cosmic Cube is a fictional object appearing in American comic books published by Marvel Comics. There are multiple Cubes in the Marvel Universe, all...
The GameCube is Nintendo's fourth home video game console, released during the sixth generation of video games. It is the successor to the Nintendo 64...
The GameCube is a home video game console developed and marketed by Nintendo. It was released in Japan on September 14, 2001, in North America on November...
Paper Brigade. His work includes a Coca-Cola commercial with talking ice cubes that are anxious to be bathed in cola. Howard played Bobby Newman on the...
1974 Monsters & Treasure book of the original boxed set. Being a cube that is a perfect ten feet on each side, it is specifically and perfectly "adapted"...
following 5 and preceding 7. It is a composite number and the smallest perfect number. Six is the smallest positive integer which is neither a square...
related to the Magic angle) about the horizontal axis. Note that with the cube (see image) the perimeter of the resulting 2D drawing is a perfect regular hexagon:...
Cube (キューブ, Kyūbu) Voiced by: Tomo Saeki (Japanese); Josh Meyer (English) A demon and a loyal steward to both Yucie and her father, Gunbard, Cube is...