Helix #1. A Bit of Explaining About The Beginning of This Whole Thing

Keep it simple.  Keep it simple.  Keep it simple.

Astonishingly, I learned from experience & decided to keep this piece simple.  Not that the last two objects weren't simple in & of themselves, they were complicted by my refusal to learn from experience in their construction.

Any way, it's about time I shed some light on the, at least nominal, connection to mathematics I try to include in all my work.

The particular area I try to maintain a connection with is the Fibonacci Sequence:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55....& on.  The next number in the sequence being the sum of the preceding two numbers.  Honestly, it's simple when you get it, & I'm no mathematician, so you can trust me on that.

This sequence is closely related to the Greek Phi, 1.618, which may be known to people as the Golden Section, Proportion or Mean.

All manner of geometric figures can be derived from & created with the Sequence & Phi.  Personally I use the Fibonacci Sequence in my work more than Phi because the maths is easier.

A favourite form of mine is the Fibonacci/Phi spiral which can be seen abundantly in nature.  In the nautilus shell & the spiral arms of galaxies for example, as well as in pine cones, pineapples & flower heads.  Often the number of petals on a flower will conform to a number from the Fibonacci Sequence.  It is everywhere.  It is a palpable manifestation of an underlying matrix from which everything unfolds, & to which everything will eventually be enfolded once again.

The spiral could be said to have fractal properties, which means it exhibits self-similarity across all scales.  This is where the connection to holograms occurs.  When holographic film with an image on it is cut in half, for example, one then has two whole images, rather than two halves of an image - self similarity across all scales.

It is these things that fascinate & draw me in to an examination of how my world works, & it is far stranger than I thought it was.

Now, let's get on to the object........

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