Given the information below, connect the red point to one of the four corners of the grid, with exactly six moves.

  • Each move ends on a unique point
  • Each move, except two consecutive moves, are unique in size.
  • Each square is of size $1$
  • No discontinuities (no abrupt changes in direction) and no intersections allowed
  • Each path of the moves follows the same direction


enter image description here

What have you just done?

  • $\begingroup$ Can you clarify "each path of the moves follows the same direction"? $\endgroup$
    – user7868
    Oct 25 at 6:50
  • $\begingroup$ @user7868 I just meant that the path of all the moves goes in the same direction, starting from the red point. $\endgroup$ Oct 25 at 7:46

1 Answer 1


Apologies for the crude drawing but I think the intended solution looks something like this

enter image description here

That is

Six quarter circle segments (as clued by the $\frac{\pi * r}{2}$ in the question), corresponding to radii 1,1,2,3,5 and 8 respectively proceeding in an anticlockwise manner.

What have we just created?

A Fibonacci Spiral

Thanks to Daniel Mathias for the correction in the comments.

  • 2
    $\begingroup$ Svobanppv fcveny, abg tbyqra. $\endgroup$ Oct 24 at 17:41
  • $\begingroup$ @DanielMathias Thank you, my mistake $\endgroup$
    – hexomino
    Oct 24 at 19:06
  • $\begingroup$ Correct, well done! $\endgroup$ Oct 24 at 20:59

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