# elaboration and mandala grid

BillJanie@aol.com
Thu, 15 Feb 1996 09:25:58 -0500

Elaboration concerns the extension and definition of constructs. Extension is
the comprehensive expansion of ranges of convenience. Definition concerns the
clarity and explicitness of constructs. The following coordinate grid
portrays an ideal form of elaboration.
a b c d e f g h
a. 1 2 3 4 5 6 7 8
b. 2 1 4 3 6 5 8 7
c. 3 4 1 2 7 8 5 6
d. 4 3 2 1 8 7 6 5
e. 5 6 7 8 1 2 3 4
f. 6 5 8 7 2 1 4 3
g. 7 8 5 6 3 4 1 2
h. 8 7 6 5 4 3 2 1

The row and columns represent the same figures/constructs. The matrix is
integratively complex (it is equal to its transpose). It is also perfectly
logical (the above explicit ranks equal the implicit ranks- those derived by
ranking the correlations across the inter row correlations. The size of the
matrix can be extended to infinity, retaining integrative complexity and
logical consistency. The matrix also replicates itself in the manner that
fractal theorists describe as self-similar.

The matrix is an example of what statisticians call as self-conjugate Latin
Square. Scientists use such matrices to develop elaborate experimental
designs. Color the cells by their numbers and you will see why I call this a
mandala grid.

William Chambers

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