Magic hypercube - Wikipedia
WEBIn mathematics, a magic hypercube is the k-dimensional generalization of magic squares and magic cubes, that is, an n × n × n × ... × n array of integers such that the sums of the numbers on each pillar (along any axis) as well as on …
Magic cube classes - Wikipedia
WEBIn mathematics, a magic cube of order is an grid of natural numbers satisying the property that the numbers in the same row, the same column, the same pillar or the same length- diagonal add up to the same number. It is a -dimensional generalisation of …
Magic Hypercubes
WEBMAGIC HYPERCUBE OVERVIEW. The order-16 tesseract is the smallest tesseract that can be nasik and these are easily made using binary base lines. It is possible to make smaller pan-magic tesseracts of odd orders by sacrificing some of the pan lines.
www.magichypercubes.com
WEBThe Magic Hypercube is defined as a hypercube, filled with integers [0,..,m n-1] (analitic numberrange), [1,..,m n] (regular numberrange). For the additional ('+') type of hypercube the numberrange doesn't matter, for the other types some operations don't work well with '0' so the regular numberrange needs to be used there.
magic hypercubes - search.r-project.org
WEBA magic hypercube is a semimagic hypercube with the additional requirement that all 2^{d-1} long (ie extreme point-to-extreme point) diagonals sum correctly.
Perfect magic cube - Wikipedia
WEBBy this definition, a perfect magic cube is one in which all possible lines through each cell sum to the magic constant. The name Nasik magic hypercube is another, unambiguous, name for such a cube.
Interactive 4D Handbook - 4D Cubes - Bailey Snyder
WEB4D spheres were a good introduction, but 4D cubes (also known as 4D hypercubes or tesseracts) are worth taking the time to really sit with. They're simple enough to understand, yet complex enough to reveal most of the strangeness found in 4D. To build a 4D cube, let’s start all the way back with a simple 1D line.
Magic hypercube - usefullinks.org
WEBIn mathematics, a magic hypercube is the k-dimensional generalization of magic squares and magic cubes, that is, an n × n × n × ... × n array of integers such that the sums of the numbers on each pillar (along any axis) as well as on …
The αβ-construction of magic hypercubes - projecteuclid.org
WEBWe present the αβ-construction which follows an algorithm which places entries into a hypercube by moving along permutations of the vector α,0,…,0,β . Under certain restrictions, this construction creates odd-ordered magic hypercubes.
Magic cubes and hypercubes of order 3 - ScienceDirect
WEBFeb 1, 1986 · In this paper we prove that every d-dimensional magic hypercube of order 3 is symmetrical and describe a general method to construct these hypercubes. It is shown that our method is exhaustive for d<~4 and there are exactly 58 nonequivalent hypercubes of order 3 in 4-dimensional space.
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