6
$\begingroup$

Here's a puzzle type I call Pandiagonal Magic Takuzu. It's inspired by @Stiv's series "This new puzzle type needs a name", except you get the name up front. Can you solve it?

enter image description here

$\endgroup$

1 Answer 1

4
$\begingroup$

The title means:

Pandiagonal Magic Square + Takuzu

The first puzzle:

There are 16 3×3 blocks which are numbered 1 to 16. Rearrange them to form a pandiagonal magic square. However, the bold ones(7, 9 and 13) are fixed and cannot be moved.
There are two such arrangements:

magicsquare

The second puzzle:

The first solution is not a valid Takuzu puzzle, because it has four consecutive white cells on the second row. The second one has a unique solution:

solution

$\endgroup$
3
  • $\begingroup$ Nice work! +1 Perhaps you could explain more explicitly that in the first step you have rearranged the 3x3 blocks based on their central numbers, as per the magic square - as it took a little while for me to suss what was going on while reading through? Thanks :) $\endgroup$
    – Stiv
    Mar 2, 2020 at 10:18
  • 1
    $\begingroup$ @Stiv Thanks for the comment! I added more explanation about it. $\endgroup$
    – user65284
    Mar 2, 2020 at 12:35
  • $\begingroup$ You got it. Well done! $\endgroup$
    – Jens
    Mar 2, 2020 at 16:47

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.