7
$\begingroup$

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

$\endgroup$
4
  • $\begingroup$ I believe this is a pure math-geometry question $\endgroup$
    – Rafe
    Nov 12, 2014 at 21:39
  • $\begingroup$ I fixed the tags $\endgroup$
    – Michal
    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
    Nov 12, 2014 at 21:46
  • 1
    $\begingroup$ It is there already mathoverflow.net/questions/17313/… with a different solution $\endgroup$
    – Florian F
    Nov 12, 2014 at 22:12

1 Answer 1

11
$\begingroup$

It is possible like so:   

enter image description here

$\endgroup$
1
  • $\begingroup$ Yes that is the correct answer. I found a similar but different one $\endgroup$
    – Michal
    Nov 12, 2014 at 22:00

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.