<section id="description">
<p>Consider a honey bee's honeycomb where each cell is a perfect regular hexagon with side length 1.</p><p>One particular cell is occupied by the queen bee.
For a positive real number L, let B(L) count the cells with distance L from the queen bee cell (all distances are measured from centre to centre); you may assume that the honeycomb is large enough to accommodate for any distance we wish to consider.
For example, B(√3) = 6, B(√21) = 12 and B(111 111 111) = 54.</p>
<p>Find the number of L ≤ 5·1011 such that B(L) = 450.</p>
</section>

function euler354() {
  // Good luck!
  return true;
}

euler354();


index

Problem 354: Distances in a bee's honeycomb

<code>euler354()</code> should return 58065134.