Scientific Colloquium
October 10, 2003
MARIO LIVIO
SPACE TELESCOPE SCIENCE INSTITUTE
"The Golden Ratio"
What do sunflowers, Salvador
Dali's painting "Sacrament of the Last Supper", and
quasicrystals have in common?
These very disparate elements share a certain
number commonly known as the
GOLDEN RATIO, expressed by the Greek letter PHI.
In a journey through mathematics
and physics, botany and zoology, art and
architecture, taking in fractals
and psychology on the way, I will explore
this extraordinary number, that
has captured the imagination for millennia.
This will also be a story of
obsession-of phi-fixated individuals who have
devoted their lives to discovering
the properties of this number.
This tale begins with the ancient
Egyptian and Greek mathematicians,
continues with the scientists and
artists of the Renaissance, and takes us
right to such scientists and
masters of the modern world as Penrose, Debussy,
and Le Corbusier.
Even more importantly, I will
address the intriguing question of the
unreasonable effectiveness of
mathematics in explaining nature, economics,
and evolutionary biology. Does
mathematics exist idependent of humans? Or
is it just a creation of the human
brain? Would an extraterrestrial intelligent
civilization (if one exists) be
familiar with PHI?