Many of Prof. Schmidhuber's web pages and talk slides
(e.g., this one)
are graphically structured through
Fibonacci ratios and the
`golden'
proportion.


Background:
The ratios of subsequent Fibonacci numbers:
1/1, 1/2, 2/3, 3/5, 5/8, 8/13, 13/21, 21/34 ...
converge to the harmonic proportion
0.5*(square root of 5  1) = 0.618034...,
dividing the unit interval
into segments of lengths a and b such that a/b=b. Many artists claim the human
eye prefers this ratio over others.
(Lowcomplexity art
is based on a more general
theory of beauty.)
 
Applications (below):
Cutouts of
home and
cogbotlab page.
Blue lines indicate
recursive applications of the harmonic proportion, approximated through
Fibonacci ratios with a base length of 2 pixels.
That is, we multiply Fibonacci numbers by 2 to obtain object
sizes of 2, 4, 6, 10, 16, 26, 42, ..., 754 pixels.
This yields a fine display width for many screens,
while the "most desirable" base length of 1 pixel does not.

