Re: Fibonacci Numbers & Applied Math

From: Roger Bagula (tftn_at_earthlink.net)
Date: 10/25/04 

Date: Mon, 25 Oct 2004 17:24:47 GMT

The use of Phi in both architecture and
art proportions is well known.
The expert in this field is Dr.Jay Kappraff:
http://www-ec.njit.edu/~kappraff/
His recent books are:
Connections: The Geometric Bridge Between Art and Science
<http://www.amazon.com/exec/obidos/tg/detail/-/0070342512/qid=1098724707/sr=1-1/ref=sr_1_1/002-4335604-0453634?v=glance&s=books>

Synopsis
Kappraff (math, New Jersey Institute of Technology) illustrates how the
properties of symmetry, proportion, connectivity, and stability are
involved in the creation of beautiful designs, structures, and objects
how mathematics serves as a foundation of design science. Accessible to
non-mathematician

and
Beyond Measure
<http://www.amazon.com/exec/obidos/tg/detail/-/981024701X/qid=1098724707/sr=1-2/ref=sr_1_2/002-4335604-0453634?v=glance&s=books>

Book Description
This book consists of essays that stand on their own but are also
loosely connected. Part I documents how numbers and geometry arise in
several cultural contexts and in nature: the ancient musical scale,
proportion in architecture, ancient geometry, megalithic stone circles,
the hidden pavements of the Laurentian library, the shapes of the Hebrew
letters, and the shapes of biological forms. The focus is on how certain
numbers, such as the golden and silver means, present themselves within
these systems. Part II shows how many of the same numbers and number
sequences are related to the modern mathematical study of numbers,
dynamical systems, chaos, and fractals.
J. B. Wood wrote:

>Hello, all. There have been many posts here on the ng concerning the
>properties of Fibonacci numbers/sequences. My reference library at work
>also subscribes to the Fibonacci Quarterly. I would like to know how
>relevant Fibonacci/Lucas numbers are in applied mathematics especially
>engineering. Pi appears over and over again but I have yet to see phi
>(golden ratio) or something tied to the Fibonacci sequence appear
>explicitly or implicitly in engineering mathematics. That Fibonacci
>examples appear in nature and art are understood but the non-physical
>constants I regularly encounter in my work are pi and e. Can someone
>provide some examples appropos to engineering? Thanks for your comment
>and time. Sincerely,
>
>John Wood (Code 5550) e-mail: wood@itd.nrl.navy.mil
>Naval Research Laboratory
>4555 Overlook Avenue, SW
>Washington, DC 20375-5337
>
>
Respectfully, Roger L. Bagula

tftn@earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :
alternative email: rlbtftn@netscape.net
URL : http://home.earthlink.net/~tftn

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