Again Fibonacci Patterns ...

Fibonacci patterns are numerical sequences that fascinated the Italian
mathematician Leonardo Fibonacci in the early 1200s. Each entry of the
sequence is obtained by adding the two previous numbers together: 0, 1,
1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144....

The patterns have been noted to frequently appear in biological settings,
like the spiral arrangement of the florests, seeds, sepals and scales on
such plants as pinecones, pineapples and sunflowers. For instance, people
may find two sets of lines connecting the centers of each segment of the
pinecone, 13 in clockwise and 8 in counterclockwise; or, in terms of
sunflower spirals, the combinations can be in 21 by 34, 34 by 55 until 89
by 144.

Fibonacci patterns has come back to the news because for the first time
these patterns have been grown with inorganic materials on a micrometer
scale by Chinese researchers.

It is a big challenge for materials scientists to produce highly ordered micro-
and nanostructures in a designed pattern with uniform size and shape.
By controlling the geometry and the stress upon cooling, Chinese Academy
of Science (CAS) researchers coaxed a microstructure to self-assemble into
the triangular tessellation and Fibonacci number patterns on its surface.
Their work 'Triangular and Fibonacci number patterns driven by stress on
core/shell microstructures' was published on the August 5 issue of 'Science'.