golden ratios
RB
parts or anthing else? thanks
Stanley C. Kitching
Some examples of golden ratios in nature and their connections to the
Fibonacci numbers and spiral functions are the Chambered Nautilus in the
animal realm and many different flowers in the plant realm ...
Following is a caption taken from an old elementary math text under the
picture of a Chambered Nautilus ...
.... The spiral you have drawn should resemble the outline of a nautilus
shell when it is sliced in half, as in the photo. Inside the shell is a
series of about thirty compartments, or chambers. A snail-like animal,
called a Chambered Nautilus, lives in each chamber sequentially,
starting with the smallest chamber and ending with the largest. The
nautilus is forced to move to a larger chamber each time it outgrows its
present one. Suprisingly, each new chamber increases in size by the
same percent, a marvel of mathematics in nature ...
Similar spirals can be seen in the sunflower and other composite
flowers. The central head of such flowers is made up of florets
arranged in intersecting spirals, some curving left and some curving
right. Not only can these spirals be constructed using the Fibonacci
sequence, but the number of spirals curving left and the number curving
right are both Fibonacci numbers ...
Reference
Title: Mathematics, An Everyday Experience
Authors : Miller and Heeren ...
Publisher : Scott Foresman & Co. , 1976 ...
I hope this bit of info may be of some help ...
Stanley C. Kitching
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