منابع مشابه
On Multiplicative Magic Squares
In this note, we give a lower bound for the distance between the maximal and minimal element in a multiplicative magic square of dimension r whose entries are distinct positive integers.
متن کاملMagic Squares and Sudoku
We introduce a family of magic squares, called linear magic squares, and show that any parallel linear sudoku solution of sufficiently large order can be relabeled so that all of its subsquares are linear magic. As a consequence, we show that if n has prime factorization p1 1 · · · p kt t and q = min{p k j j | 1 ≤ j ≤ t}, then there is a family of q(q − 1) mutually orthogonal magic sudoku solut...
متن کاملRig Veda Magic Squares
Sanskrit scholar Christopher Minkowski of Oxford University has revealed how Nilakantha, a 12th Century Indian mathematician, decoded Magic Squares in the Rig Veda, which is the oldest book known to humanity. Those Vedic Magic Squares comprise one aspect of the higher nuclear technology encoded in Vedic Literature. This paper relates Minkowski’s argument and supplements this with additional exp...
متن کاملProperties of Magic Squares of Squares
A problem due to Martin LaBar is to find a 3x3 magic square with 9 distinct perfect square entries or prove that such a magic square cannot exist (LaBar [1]). This problem has been tied to various domains including arithmetic progressions, rational right triangles, and elliptic curves (Robertson [2]). However, there are some interesting properties that can be derived without ever leaving the do...
متن کاملImage Generation from Magic Squares
The paper is departing from a position in aesthetic theory, in which order of some sort is considered a contributing factor to aesthetic value. It is likewise departing from a position, that generative art, drawing on rule based systems and algorithms, is a legitimate art practice. Instead of generating order by falling back on an artistic master mind or the sensibility and skill of an artist, ...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1983
ISSN: 0012-365X
DOI: 10.1016/0012-365x(83)90067-5