Halleluja by Leonard Cohen

An Amazing New Year’s Greeting

For New Year our friend in Germany sent us a couple of videos of his family celebrating Christmas, enjoying an impressive fireworks display on New year’s Eve and of his wife Edda playing the Halleluja by Leonard Cohen. Edda is the granddaughter of my Uncle Bruno. If you look at the Kegler family tree, you will find her on Chart IIc. Never have my wife Biene and I received a more touching and more precious New Year’s greeting than this video. A big thank you goes out to Dieter, Edda’s husband, who made this beautiful recording! It is my hope that you like it as much as we do.

Fibonacci Sequence in Nature and Plants.

I was so fascinated by the pictorial representation of mathematical sequences and patterns embedded in plants, flowers, trees and even in the spiral shapes of our galaxies that I felt compelled to reblog ‘plantsandbeyond’s’ post. It is my hope that you enjoy it as much as I do.

Plants and Beyond

sunflower

The Fibonacci sequence appears in the smallest, to the largest objects in nature. It is a way for information to flow in a very efficient manner.

flower1

The actual Fibonacci sequence is this series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34. Simply put, the next number in the sequence is formed by adding up the previous 2 numbers. (0 + 1 = 1, 1 + 1 = 2, 2 + 1 = 3, and so on.)

The Fibonacci sequence is named after Leonardo of Pisa, who was known as Fibonacci. Though Fibonacci first introduced the sequence to the western world in 1202, it had been noted by Indian mathematicians as early as the sixth century.

The Fibonacci defines how the density of branches increases up a tree trunk, the arrangement of leaves on a stem, and how a pine cone’s scales are arranged. Yet you will…

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