On The Construction of Numerous Magic Squares by Using A Fourth Order (4×4) Magic Squares
نویسندگان
چکیده
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.
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A magic square of order n is an n by n matrix with distinct nonnegative integer entries such that every row sum, column sum, and (two) diagonal sums equals to the same number m, the magic number. Adding 1 to every entry will give us a traditional magic square of positive integers. A magic square is pure if the entries are the consecutive numbers from 0 to n − 1, and hence it has magic number 3 ...
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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...
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ژورنال
عنوان ژورنال: Advances in Modelling and Analysis A
سال: 2019
ISSN: 1258-5769
DOI: 10.18280/ama_a.562-403