Friday, September 09, 2016

Stained Glass Fibonacci

Fibonacci Spiral
This stained glass panel measures 8.50 X 13.00 inches. A pattern or cartoon is made, the glass is hand cut by me, ground for precision and wrapped and burnished in copper foil. It is then lead soldered, a zinc frame with chain is attached for hanging. In this case, please let me know which way you would like it to hang in convo as you check out. The panel is cleaned, and waxed. 

Fibonacci Star/ Pentagram

This stained glass piece measures 21 inches and has approximately 165 pieces that were hand cut by me, ground for precision, wrapped and burnished with copper foil, framed in zinc and lead soldered. It was cleaned, black patina was applied and it was framed in zinc with a chain for hanging. The glass is an iridescent plum ( as in 5th photo) with more iridescence showing in low light and the plum and clear showing in strong sun light.

The pentagram has been used as a religious symbol throughout the world from the beginning of recorded history. The most basic pentagram is simply a five-point star drawn with one continuous line broken into five line segments and with one point of the star facing up. In Christian symbolism, the basic pentagram (without a circle) was originally used to represent the five wounds of Jesus Christ.

In Wicca and various forms of “white magic,” the encircled, upright pentagram is considered a symbol that provides protection of some kind. Pagan and neo-pagan groups use the pentagram in all manner of rituals and ornamentation because it symbolizes infinity, the binding of the five elements, and protection of the self.

If a regular pentagon is drawn and diagonals are added, a five-sided star or pentagram is formed. Where the sides of the pentagon are one unit in length, the ratio between the diagonals and the sides is Phi, or the Golden Ratio. This five-point symmetry with Golden proportions is found in starfish and this stained glass piece.

The Fibonacci numbers are Nature's numbering system. They appear everywhere in Nature.

Humans exhibit Fibonacci characteristics, too. The Golden Ratio is seen in the proportions in the sections of a finger, space between the eyes, size of teeth, and proportion of a smile.
Fibonacci Sequence
There is a special relationship between the Golden Ratio and the Fibonacci Sequence:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...
(The next number is found by adding up the two numbers before it.)
. Each segment of the five-pointed star is in a Golden Ratio to the next smaller segment.

Joining the points of a pentagram (to make a pentagon) illustrates Fibonacci relationships between the lines. Also note that both these shapes are constructed around nature’s most natural shape – a circle.
: A five-sided star contains lines that are related by Fibonacci numbers 5, 8 and 13.

And here is a surprise: when we take any two successive (one after the other) Fibonacci Numbers, their ratio is very close to the Golden Ratio.
Another interesting aspect of phi and five is in relation to the design of the human body, which in addition to being based on phi relationships in its proportions, has:
• 5 appendages from the torso, in the two arms, two legs and a head,
• 5 appendages on each of legs and arms in the five fingers and five toes,
• 5 openings on the face, and
• 5 senses in sight, sound, touch, taste and smell.
5 deserves a “high 5” for its role in phi, don’t you think!

Without Mathematics There Is No Art! Pacioli

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