منابع مشابه
Magic 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 کاملOn 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 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 کاملLeast squares fitting of circles and lines
We study theoretical and computational aspects of the least squares fit (LSF) of circles and circular arcs. First we discuss the existence and uniqueness of LSF and various parametrization schemes. Then we evaluate several popular circle fitting algorithms and propose a new one that surpasses the existing methods in reliability. We also discuss and compare direct (algebraic) circle fits.
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ژورنال
عنوان ژورنال: Nature
سال: 2007
ISSN: 0028-0836,1476-4687
DOI: 10.1038/4501162a