2.0 THE GAME

After a long term love affair with modular structures in art, design and nature which came to include an exploration of Vedic mathematics, Hindu mandalas, Islamic pattern, various ancient and modern cosmologies and our physiological and cognitive responses to pattern, I was driven to further explore the relationships between the elements of number, the structures thus described and/or generated and our evolving multidimensional models of reality which include the aesthetic and ethical dimensions]. It has become increasingly evident that It [all] reveals itself as a game with a set of essentially simple rules.

Whether or not the set of rules with their power to generate the richness and diversity that we experience is real, is actually under pinning the phenomenological world or is created by us to make sense of It All is of course the big question that enthrals so many of us.

We all seek insight, we are all potential Seers - see-ers, visionaries.

There are some key principles which together inform this work, most of which are generally accepted in all walks of life [perhaps a more meaningful phrase in the context of The Game of Life].

2.0.1. Key Principles

2.1 Nature

2.1.7 The self similar cauliflower.

2.1.8 Crystal geometry - Basalt.

2.1.10 Desert Rose - Calcite, formed under the sand of the Sahara.

2.1.12 Self similar structure in leaves.

2.1.13 Water Lilly - Geometry in nature.

2.1.14 Succulent - As leaves grow from the centre, the plane distorts.

2.1.15 Rhododendron - Almost forms a dodecahedron of pentagonal florets.

2.1.16 Nebulae - Similar patterns on all scales of magnitude - A self similar cosmos.

2.2 Art - From earliest times number, nature and art have been entwined in the mind of mankind. This and the following images from art are examples of geometry in art and illustrate the sense of satisfaction gained from observing self similarity in art as in and from nature.]

2.2.1 The Dream of the Great Ennead.

2.2.2 The Great Ennead of Heliopolis.

2.2.3 Drawing by a young, disturbed girl patterns to reinforce her understanding.

2.2.4 Rock carving from prehistoric site in Malta.

2.2.5 Tile pattern illustrates the found geometry of nature in art from Mosque in Isfahan, Iran.

2.2.6 Painting by Mondrian - A modulor composition.

2.2.7 Mandala from North India based on a 9 x 9 square.

2.2.8 Painting by Samuel Palmer uses self similarity in composition.

2.2.9 Mans answer to the bubble - Geodesic dome invented by Buckminster Fuller, U.S.A.

2.2.10 Painting by Fra Angelica - Geometry in composition.

2.2.11 Interior of conical dome in the Alhambra, Spain.

2.2.12 Le Corbusier used his Modular system in the composition of his buildings.

2.2.13 Gaudi worked from nature to evolve his architecture.

2.2.14 The Greeks used the Golden Mean to maintain their compositions.

2.3 Number.

The power of number to model not only the appearance of things and events but also to predict their behaviour raises the question as to whether number is an invention, or a discovery by man of some aspect of the deep structure of the cosmos. Notes on the reduced Fibonacci Series - alternate figures in bold:

And that is only the beginning ........ take the two halves and see the symmetry............

1 3 8 3 1 and 8 6 1 6 8 or 1 2 5 4 7 8 and 8 7 4 5 2 1 etc.,etc.....................................................................................................

Even the digits 1 - 9 show some intriguing symmetries:

2.3.2 The positions and patterns of the Prime Numbers.

2.3.3 Even numbers which when reduced show a distinctive set of relationships.

2.3.4 Odd numbers which when reduced show a distinctive set of relationships.

2.3.5 The Sum groups of Odd and Even numbers reduced.

2.3.6 Games with the Magic Sevenths - The Dance of the Digits.

2.3.7 Nines and Scherezade [After Buckminster Fuller, Synergetics].

2.3.8 Nine points on a circle demonstrate some of the relationships of digits to be explored later.

2.3.9 Odd behaviour in relationships can throw up distinct patterns.

2.3.10 The Table of Powers with all numbers reduced to digits shows patterns.

2.3.11 Some qualitative aspects of the Digits and an introduction to Digitos [a sort of domino].

2.3.14 Digit, Digito, and Bars.

2.3.15 Star Nonagons, Digitos and Bars.

2.4 The Rules of The Game Introduction

2.4.2 Key Concept FROM ONE TO EIGHT AND NINE ........... IN COLOUR .

2.4.3 The COLOUR Cube [The sum of whose diagonals = 9 [the complementaries].

2.4.7 Key set - A summary sheet of digit, colour, bars, digitos etc.

2004 Copyright - Keith Albarn. All Rights reserved.

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