6
$\begingroup$

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?

Clarification:

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

$\endgroup$
  • $\begingroup$ I believe this is a pure math-geometry question $\endgroup$ – Rafe Nov 12 '14 at 21:39
  • $\begingroup$ I fixed the tags $\endgroup$ – Michal Nov 12 '14 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 Nov 12 '14 at 21:46
  • 1
    $\begingroup$ It is there already mathoverflow.net/questions/17313/… with a different solution $\endgroup$ – Florian F Nov 12 '14 at 22:12
10
$\begingroup$

It is possible like so:   

enter image description here

$\endgroup$
  • $\begingroup$ Yes that is the correct answer. I found a similar but different one $\endgroup$ – Michal Nov 12 '14 at 22:00

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

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