of the
Week
|
Problem
of the Week |
 |
Can you fill up an equilateral triangle with circles of equal size? More precisely, take an equilateral triangle of side length 1 and fill it with a stack of equal-sized circles as shown. The figure show T4, a stack based with four circles. As the number of circles in the base grows, do the circles eventually fill up the triangle; that is, does limn® ¥ area (Tn) = area of the triangle? You are visitor number 4823
to this page.
|