In a magic cube, a broken space diagonal is a sequence of cells of the cube that follows a line parallel to a space diagonal of the cube, and continues on the corresponding point of an opposite face whenever it reaches a face of the cube.[1][2] The corresponding concept in two-dimensional magic squares is a broken diagonal.
^Narins, Brigham (2001), World of mathematics, Volume 2, Gale Group, p. 391, ISBN 9780787650650.
^Pickover, Clifford A. (2003), The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures across Dimensions, Princeton University Press, p. 178, ISBN 1400841518.
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In a magic cube, a brokenspacediagonal is a sequence of cells of the cube that follows a line parallel to a spacediagonal of the cube, and continues...
magic cube has exactly 9m2 lines plus the 4 main spacediagonals summing correctly (no brokenspacediagonals have the correct sum.) The smallest pandiagonal...
order of the magic cube. If the sums of numbers on a magic cube's brokenspacediagonals also equal the cube's magic number, the cube is called a pandiagonal...
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the 1 since that would put Xs around all sides of the 1. If two 1s are diagonally adjacent, then of the eight segments around those two cells, either the...
the crystal ground state, the continuous translational symmetry in space is broken and replaced by the lower discrete symmetry of the periodic crystal...
Diagonal Press (2016). A Primer of Higher Space. Claude Bragdon. New York: Diagonal Press (2016). The Gold Church. Tauba Auerbach. New York: Diagonal...
relatively more valuable; they can be positioned to control long, open diagonalspaces. In a closed game with lines of protected pawns blocking bishops, knights...
(red ascending diagonal hatching), showing the central bull's-eye, the four orientation marks (blue diagonal cross-hatching), and space for 28 bits (7...
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Organization's mission-- missile and space booster power and satellites in orbit. In the first symbolism, the diagonal lines represent the role of science...
Moving diagonally is one of the best offensive movements, whether at the near or far posts, or out to the wings farther back in midfield. Diagonal movement...
independently, hence it may be possible to switch between spans and columns or diagonal directions depending on the orientation of the polygon normal to achieve...
polyhedra in which every diagonal lies on the sides. In numerical analysis, complicated three-dimensional shapes are commonly broken down into, or approximated...
a projection of an n-unit cube of spheres in 3-dimensional space, viewed on the diagonal axis. There are more spheres than circles because some are overlapping...
Below are other forms of notation: A symbol with one vertical and three diagonal bars indicates a sharp with some form of alternate tuning. In 19 equal...
functioning reflecting telescope using a spherical primary mirror and a flat diagonal secondary mirror. This design is termed the 'Newtonian'. 1672 — Laurent...
of length. In the diagram shown, the gridlines are spaced one unit distance apart. The 45° diagonal lines represent the worldlines of two photons passing...
the retro-rocket system 320 atmospheres...." 06:25 As Vostok 1 began its diagonal crossing of the Pacific Ocean from Kamchatka Peninsula to the southern...
or diagonal) line of adjacent dwarfs on the board, they may hurl the front dwarf in the direction continuing the line, moving it to land on a space containing...
structural failure. Cracked walls: Cracks may be horizontal, vertical, diagonal or stair-stepped. Severe pressure or structural damage is evident by widening...
square if the sums of the numbers in each row, each column, and both main diagonals are the same. The 'order' of the magic square is the number of integers...
most likely be seen as a cube, rather than "two squares connected with diagonal lines, a square surrounded by irregular planar figures, or any other planar...
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