Re: NANFA-- Off topic: mathematical theory of biology

Dan Troxell (dtroxell_at_yoursound.com)
Fri, 27 Dec 2002 15:25:53 -0500 (EST)

in music, the Mannheim school in the late 18th century was notorious for
its "Mannheim Progression", a slow and methodical culmination of thematic
development in each piece of music that centered around the "golden
moment" which represented the magical 1.62 ratio.

Dan Troxell
Boston, MA

On Wed, 18 Dec 2002, Bruce Stallsmith wrote:

> Date: Wed, 18 Dec 2002 08:21:28 -0500
> From: Bruce Stallsmith <fundulus_at_hotmail.com>
> Reply-To: nanfa_at_aquaria.net
> To: nanfa_at_aquaria.net
> Subject: Re: NANFA-- Off topic: mathematical theory of biology
>
> The series below, 1 2 3 5 8 13 etc., is also known as the Fibonacci series.
> Many patterns in nature can be explained using these numbers as ratios,
> especially the "Golden Mean"--approximately 1.62, described by the ratio of
> 13 to 8, or 21 to 13, etc. The twist of the Nautilus shell is described by
> these numbers, as are the whorl patterns on many plants. (Fibonacci means
> blockhead in medieval Italian, a long story...)
>
> --Bruce Stallsmith
> Huntsville, AL, US of A
>
> >From: Brian Haas <bhaas_at_netexpress.net>
> >Reply-To: nanfa_at_aquaria.net
> >To: nanfa_at_aquaria.net
> >Subject: Re: NANFA-- Off topic: mathematical theory of biology
> >Date: Tue, 17 Dec 2002 22:46:50 -0600
> >
> >All I can add is that patterns in nature such as those seen in the nautilus
> >shell frequently follow the form of the number "e" and natural logarithms.
> >("e" is a non-repeating decimal, as is the more familiar "pi".)
> >
> >Travis Haas
> >Hazel Green, WI
> >
> >
> >At 11:10 PM 12/17/02 -0500, Terri wrote:
> > >Bob,
> > >
> > >I can't recall the name of the theory, but will try to discribe it.
> > >Perhaps someone else will recognize it & put a name to it.
> > >
> > >Take the following numbers: 1 2 3 5 8 13 21...
> > >
> > >1+2=3 2+3=5 3+5=8 & so on, such that each number is the sum of the
> > >previous 2 numbers.
> > >
> > >How this relates biologically? It is nature's magical building #. For
> > >example, if you slice open a nautilus shell so as to show each of its
> > >inner sections, the formula for each section's size, from smallest to
> > >largest, equals the numbers I listed before: 1 2 3 5 8 13 21...
> > >It is also nature's formula for many other natural forms.
> > >
> > >Can one of y'all put a name to this formula for us?
> > >
> > >Terri
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/ For more information about NANFA, visit our web page, http://www.nanfa.org