Packing Circles
-
A 10x10 square can obviously hold 100 unit circles (diameter=1) when arranged
in rows and columns. How many additional circles can it hold if the circles
are packed closer, in a hexagonal arrangement?
-
What are the dimensions of the smallest area rectangle which can hold an
additional 10 unit circles when the arrangement changes from rows and columns
to hexagonal?
-
What are the dimensions of the smallest area rectangle which can hold
100 unit circles in a hexagonal arrangement?
Source: Original.
Solution
Mail to Ken