IS THAT YOUR FINAL WORD ? FIBONACCI SEQUENCE

FIBONACCI SEQUENCE

Golden Ratio- Spiral Growth- Spritual Growth

The Fibonacci sequence progresses as:

0, 1, 1, 2, 3, 5, 8, 13, 21…   Each number is the sum of the two before it. As the sequence grows, the ratio between successive numbers approaches the Golden Ratio (φ ≈ 1.618).  This ratio governs the proportions of the Fibonacci spiral, which is constructed by:
• Drawing squares with side lengths from the Fibonacci sequence.
• Connecting quarter arcs through each square to form a smooth, expanding spiral.
overlay a Fibonacci

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How It Applies to the Nautilus Shell

The red spiral overlays the shell’s curvature, showing how each chamber expands outward in a logarithmic pattern that mirrors the Fibonacci spiral.• Yellow grid squares represent Fibonacci-numbered dimensions (1, 2, 3, 5, 8…), each square growing in size according to the sequence.
• The shell’s chambers follow this proportional growth—each new chamber is larger than the last, but in a consistent ratio, maintaining the overall shape.
• The center of the spiral aligns with the origin point of the shell’s growth, emphasizing how natural forms often begin with tight symmetry and expand outward with mathematical precision.
The nautilus doesn’t “know” Fibonacci—but evolution favors efficient, scalable growth. The logarithmic spiral allows the creature to grow without changing shape, maintaining buoyancy and structural integrity. Artists, architects, and designers borrow this principle to create compositions that feel balanced, organic, and visually compelling.
The Nautilus shell s

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Fractals: Mandelbrot Set & Fibonacci Periods


Even in abstract mathematics:
• The Mandelbrot set, a famous fractal, contains bulbs whose periods (number of iterations before repeating) often correspond to Fibonacci numbers.
• This shows how Fibonacci isn’t just a biological curiosity—it’s embedded in the deep structure of mathematical chaos and order.
voice of silence

1889

   MADAME BLAVATSKY PUBLISHED THE VOICE OF THE SILENCE

The Voice of the Silence is a book by Helena Petrovna Blavatsky. It was written in Fontainebleau and first published in 1889. According to Blavatsky, it is a translation of fragments from a sacred book she encountered during her studies in the East, called “The Book of the Golden Precepts”
Blavatsky said this sketch was a top view of the Chakras.  I was eating Escargot when I suddenly had one of those mashed potato moments from CLOSE ENCOUNTERS OF THE THIRD KIND.  I went to a good friend’s place and suddenly found the book on her bedside table.  My snail shell fit on the cover perfectly. 
To get the proper benefit from the book you need to read it out loud.  It puts me into a high state of consciousness when I do.