# The Green Man

A series of diagrams on Instagram explore the possibilities of arranging three signs, the equivalent of Aldi, Eragin and Tinko. The one below – called Green Man – shows a face hidden by greenery, with three-letter combinations delineating the stages of growth out from the centre, with Fibonacci circles of 2, 3, 5, 8, 13 and 21 combinations, similar to the patterns in the Zuhaitza Bizi diagram of the Tree of Life.

Around the outside of the diagram are 22 five-letter combinations, formed by putting together one of seven double-letter combinations with one of the six triples.

These themes are explored in the other diagrams.

The above doggrel is Jack in the Green’s reply to the theologian’s statement that God is a perfect circle/sphere.

The 3, 6, 12 hierarchy represents a rational ordering of the circle. The circumference of a circle can be exactly divided into 6 by compass set at the same distance as the radius. This lawful ordering of the circle can be extended to 12 by bisecting the angles between the six. Twelve is exactly divisible by two, three and four. Each sector of the circle is a fraction of the whole represented by whole number ratios. In other words it is a rational ordering.  This is the pattern our culture uses to bind spacetime.

But the relationship that governs the form of the circle itself is not rational. The circumference of the circle is the diameter times the irrational number π (pi) which in decimal notation has a never-ending string of digits. The simplest approximation using fractions is 22 divided by seven. The circumference of the circle is therefore marked by the 22 five-letter names.

There is another ordering of the circle which is irrational but lawful. This is represented by the Fibonacci sequence formed by the tail eating constructors issuing from the face of the green man. The 3 stars of Saros affiliates were placed according to the fifth number of this sequence. Here the sequence is extended to 21 since that is a significant number in Saros philosophy, but the sequence is in fact infinite. As the sequence progresses the ratios of successive numbers converge ever more closely to the irrational number ø (phi). The 21 constructors generated by tail-eating divide into 2 sets based on the original split between the initiating constructors mirror and follower. There is a set of 8 and a set of 13. 13 divided by 8 is 1.625 which is ø correct to the first two digits. 21 divided by 13 is closer being correct to the first 3. If the 21 constructors are evenly spaced round the circle they divide it by an approximation to the Golden Angle which is the angular equivalent of the Golden Mean. This is the angle plant parts tend to form by fitting into the spaces left between previously grown parts.

This process arises through randomicity, whereas the 3, 6, 12 is the work of mind imposing order. The 22 fives and 7 doubles represent π, the being of the circle itself.

# Propositions

An article from the Sareoso library: philosophy from a cup of tea, via zero-sum games and Fibonacci series to an appreciation of the totality of the universe.

Propositions Zazpiak Bat