Here's a neat geometrical puzzle I was once shown

Is it possible to divide a circle into a finite number of congruent parts some of which don't touch the center?


Find a shape for a tile such that a certain number of tiles of that shape will fit completely and with no overlap inside a circle. Additionally at least one the the tiles can't touch the center of the circle

  • $\begingroup$ I believe this is a pure math-geometry question $\endgroup$
    – Rafe
    Commented Nov 12, 2014 at 21:39
  • $\begingroup$ I fixed the tags $\endgroup$
    – Michal
    Commented Nov 12, 2014 at 21:42
  • $\begingroup$ I mean question is not belong here. it should be in Math.SE - But it is only MY opinion $\endgroup$
    – Rafe
    Commented Nov 12, 2014 at 21:46
  • 1
    $\begingroup$ It is there already mathoverflow.net/questions/17313/… with a different solution $\endgroup$
    – Florian F
    Commented Nov 12, 2014 at 22:12

1 Answer 1


It is possible like so:   

enter image description here

  • $\begingroup$ Yes that is the correct answer. I found a similar but different one $\endgroup$
    – Michal
    Commented Nov 12, 2014 at 22:00

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