Global strategic significance of 20-fold configurations

Memetic Analogue to the 20 Amino Acids as vital to psychosocial life? (Part #3)

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As an instance of psychosocial organization at the global level, of particular interest is the coherence associated with identification of the G-20 major economies and of the G20 developing nations. Why the collective satisfaction with 20 in both instances? How is this sense of coherence recognized and how does it "work" in terms of the dynamic relationships between the 20 in each case? How is this to be distinguished in these focal cases from any arbitrary choice of number in the organization of many "global" bodies with integrative functions?

As indicated previously, this may also be explored in terms of polyhedral representation (Polyhedral Pattern Language: software facilitation of emergence, representation and transformation of psycho-social organization, 2008; Towards Polyhedral Global Governance: complexifying oversimplistic strategic metaphors, 2008). The latter presents a mapping of the G20 Group onto an icosahedron then complexified to an icosidodecahedron and a rhombicosidodecahedron.

G20 Group of Major Economies
Mapped onto 20 vertices of a dodecahedron	Mapped onto 20 faces of an icosahedron

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G20 Group of Developing Countries (3 countries which are also part of the G20 Group of Major Economies have been excluded for the purposes of this representation)
Mapped onto 20 vertices of a dodecahedron	Mapped onto 20 faces of an icosahedron

The above are variously indicative of the pattern of 20 distinctions, but further insight is clearly required as to how the pattern "works" -- preferably in cybernetic terms -- and is appreciated cognitively. What is the satisfaction associated with a Rubik cube solution or the completion of a magic square (Patterns Essential to Individual and Global Health? 2010; Sustainability through Magically Dancing Patterns 8x8, 9x9, 19x19 -- I Ching, Tao Te Ching / T'ai Hsüan Ching, Wéiqí (Go), 2008)?

Another approach took the form of an experiment in detecting the challenges to comprehension in formulating declarations of from 1 to 20 elements, with different degrees of uncertainty -- and the consequent potential for encompassing the diversity of perspectives (Distinguishing Levels of Declarations of Principles, 1980). The results can be used as a way of reviewing varieties of dialogue by number. This experiment was in fact part of a more general investigation of some relevance (Integrative Dimensions of Concept Sets: transformations with minimal distortion between implicitness and explicitness of set representation according to constraints on communicability, 1981), which included a section on Representation of sets by regular polyhedra.

In the light of the relationship between 20-fold and 30-fold sets, as discussed further below, another relevant animation is that for the Group of Thirty leading financiers and academics which aims to deepen understanding of economic and financial issues and to examine consequences of decisions made in the public and private sectors related to these issues. The relevance of 30-foldness notably figures in the cybernetic preoccupations of Stafford Beer (Beyond Dispute: The Invention of Team Syntegrity, 1994).

G30 Group of leading financiers and academic economists
Mapped onto 30 edges of a dodecahedron	Mapped onto 30 edges of an icosahedron

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