Brief Introduction to Number

I chose to use number as a starting point even though I felt that there may be deeper structures awaiting discovery that are inaccessible to number alone. But,  I soon found that true to form number was to reveal a tantalising glimpse of that deep structure from within its own structure. This was not surprising. Number is after all the fundamental element of perhaps our most powerful aid to model making, mathematics, whose abstract and self generating nature enables us to interrelate superficially dissimilar phenomena, to see common patterns buried in the structures of our interest and by application of the rules of its game watch them procreate, to feedback fresh insights or confirm the direction for further explorations of symmetry, broken symmetry and self similarity at the living edge of chaos.

Initially, I chose to constrain my use of number to the digits. This followed the exploration of Vedic Mathematics of ancient India referred to above.

The Rules:

Only the Digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

Reduction

To restrain the model when exploring larger numbers [ie composed of more than one digit] the number is reduced by adding the digits together e.g. 144 is then read as 1+4+4 which = 9.

Colour

To enhance the relationships between numbers and their different  functions and qualities, each number is given a colour. The colours chosen are Cyan[1], Blue[2], light Grey[3], Magenta[4], Green[5], mid Grey[6], Yellow[7], Red[8] and Black[9].

This produces three triads, the three additive primaries 1,4 and 7, the three subtractive secondaries 2,5 and 8 and three neutrals 3,6 and 9.

Consistent Transformations

To adhere to the Laws of Symmetry [ ie Translation*, Rotation, Reflection and Dilation] and to maintain structural integrity, when changing value, dimension, materials, process or mode [controlled metamorphosis].

The power of number and series 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:

  1   1   2   3   5   8   4   3   7   1   8   9   8   8   7   6   4   1   5     2     1   9
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.
Even the digits 1 - 9 show some intriguing symmetries:
  1  2  3  4+ 
  8  7  6  5
=9  9  9  9

The Multiplication Square [note: eg 81 = 8+1 = 9]


Much More Elsewhere!