7
$\begingroup$

Can you fill this grid ? Version ($\pi$)
enter image description here

In text:

?14516
243748
120581
17186?
01?857

HINT 1

It's a big spiral!!!

HINT 2

It starts from 0 at the center!

HINT 3

Colors included to identify

$\endgroup$
  • 4
    $\begingroup$ Wait, are you declaring π = 3.0 now? Indiana, is that you? $\endgroup$ – Rubio May 6 at 17:50
  • $\begingroup$ 3rd partial sum in some $\pi$ approximation? $\endgroup$ – z100 May 6 at 18:58
  • $\begingroup$ No, 3.0 stands for my 3rd puzzle and $\pi$ is the clue. $\endgroup$ – Ak19 May 7 at 1:33
  • $\begingroup$ Rubio LOL!( I love this site!) $\endgroup$ – George Menoutis May 7 at 7:11
  • $\begingroup$ @PiIsNot3 ... Rubio's comment... $\endgroup$ – Omega Krypton May 7 at 16:41
3
$\begingroup$

The final grid is

014516
243748
120581
171869
010857

And the pattern is

A clockwise spiral out from the center of the following function, displayed such that each digit of a multidigit number occupies one grid square
f(1)=0, f(n+1)=f(n)+O(n+(-1)^n) where O(n) is the nth odd number, or 2n-1
example: f(2) = f(1)+O(3) = 0+5 = 5, F(3) = f(2)+O(2) = 5+3 = 8...

$\endgroup$
  • 1
    $\begingroup$ One member deleted a comment using more intuitive solution, based on sequence of "almost squares" $0,5,8,17,24,37,48,65,80,101,120,145,168,197$ which represents $f(n)=n^2-(-1)^n$. Of course your solution is totaly equivalent, so upvoted it. $\endgroup$ – z100 May 7 at 19:55
  • 1
    $\begingroup$ I must be missing something obvious here - but how does this link with 𝜋 being the clue? $\endgroup$ – MichaelMaggs May 7 at 21:18

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.