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    $\begingroup$ @RobPratt we could leave the three whole slices in one piece, for a total of 3x4. $\endgroup$
    – loopy walt
    Commented Aug 27, 2021 at 23:51
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    $\begingroup$ In your alternative cut, you can leave one slice connected to the equilateral triangle, for only 9 pieces in total. $\endgroup$
    – Jaap Scherphuis
    Commented Aug 28, 2021 at 7:20
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    $\begingroup$ Thank you. Your solution is now complete and correct. But now I have a problem. in the meantime Bass posted a different solution, which is better explained and illustrated. Even though you gave the essence of the solution first, I will accept his solution because of the better presentation. I hope you are not upset by that choice. $\endgroup$
    – Florian F
    Commented Aug 28, 2021 at 10:43
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    $\begingroup$ @FlorianF no worries. $\endgroup$
    – loopy walt
    Commented Aug 28, 2021 at 10:44
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    $\begingroup$ @MattTimmermans Careful, I think most people would understand "unit regular n-gon" as one having unit side length. This one is inscribed in a unit circle. $\endgroup$
    – loopy walt
    Commented Aug 28, 2021 at 17:45