Find a 4x4 magic square with magic constant being 188 (base ten) and each of whose 16 entries is a non leading zeroes positive binary palindrome.

*** Disregard rotations and reflections.

I found 25 integers less than 188 that are
palindromic in base 2, but after much
computation only the 4 squares shown below,
which contain the same 16 of these (in base 10).

127  51   1    9
33   27   65   63
7    93   3    85
21   17   119  31

127  1    51   9
7    3    93   85
33   65   27   63
21   119  17   31

93   7    85   3
17   21   31   119
51   127  9    1
27   33   63   65

93   85   7    3
51   9    127  1
17   31   21   119
27   63   33   65

No rotations or reflections are shown, but
these 4 squares have the same row and column
sets, and can be derived from each other by
interchanging corresponding rows and columns
to preserve the diagonal sets.
Have I missed any?

Posted by Harry on 2015-12-26 19:14:59