Problem 2028. Magic Concentric Circles

Created by Ted

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Consider 4 magic circle circles around a single number in the sequence 1:n where the sum along the diameters is always equal, and the sum for each circle is also equal.If n=33 then return a truth function corresponding to whether the supplied matrix is magic or not. Diameter numbers are written in columns, and the centre number thus appears in each diameter sequence. Rows contain numbers along semi circles.Example<pre> c = [ 20 33 12 4 ;
 16 1 31 21 ;
 23 13 19 4 ;
 10 22 7 30 ;
 9 9 9 9 ;
 2 18 25 34 ;
 29 26 11 3 ;
 32 17 5 15 ;
 6 8 28 27 ]; </pre>is not magic over 1:n<pre> c = [ 20 33 12 4 ;
 16 1 31 21 ;
 23 13 19 14 ;
 10 22 7 30 ;
 9 9 9 9 ;
 2 18 25 24 ;
 29 26 11 3 ;
 32 17 5 15 ;
 6 8 28 27 ]; </pre>is magicSee <a href = "http://en.wikipedia.org/wiki/Magic_circle_(mathematics)">http://en.wikipedia.org/wiki/Magic_circle_(mathematics)</a>

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Last Solution submitted on Mar 17, 2020

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Marcel on 5 Jan 2014

matrix in test case 3 is magical?
sum first circle=73
sum second circle =61....

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Problem 2028. Magic Concentric Circles

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Problem 2028. Magic Concentric Circles

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