Exploring potential dynamics within a pantheon?

Meta-pattern via Engendering and Navigating Pantheons of Belief? (Part #10)

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Dynamics within a pantheon ordered in 3D as a drilled truncated cube? The point was stressed above that little effort is made to clarify in systemic terms the dynamics within any pantheon. The drilled truncated cube could offer a way of exploring the dynamics within a pantheon of 64-fold complexity.

As an exercise to that end, the movement of selected edges between parallel positions offers one design metaphor of mnemonic value, as discussed separately in detail with respect to that form (Decomposition and recomposition of a toroidal polyhedron -- towards vortex stabilization? 2015). This formed part of a discussion of Psychosocial Implication in Polyhedral Animations in 3D: patterns of change suggested by nesting, packing, and transforming symmetrical polyhedra (2015).

The following animations developed from that exercise offer contrasting views of what might be understood as the dynamics of a pantheon taking the the form of a drilled truncated cube. As a feature of the design choice, the edges switch colour when they reach their parallel position.

Alternative perspectives on the same experimental movement of selected edges of a drilled truncated cube
x3d ***

Dynamics implied by an influential 2D circular configuration: Ironically far greater consideration of the dynamics of transformative movement within a 64-fold configuration has been given to that between the 64 hexagrams of the I Ching -- usefully recognized as an archetypal pantheon in its own right. The dynamics identified follow from transformations in the systematic encoding of each hexagram which determines the change to an alternative condition. Historically it was this pattern of transformations which was influential in the original insight of Gottfried Leibniz that subsequently gave rise to the binary coding fundamental to modern computing.

In contrast to the more widely known tabular configurations, the circle of Shao Yong (1011-1077), or the I Ching hexagram circle, was an influential feature of the communication to Leibniz in 1701 (James A. Ryan, Leibniz' Binary System and Shao Yong's "Yijing", Philosophy East and West, 46, 1996, 1). Features of the configuration are discussed separately (Diagram of 384 Relationships between I Ching Hexagrams, 1983; Bagua and the sequence of 64 hexagrams, Shanghai Daily, 20 December 2015).

The question here is how to embody more fruitfully the psychosocial dynamics implied by the I Ching encoding patterns. The possibility had been clarified in an earlier study in the light of the alternation between two orientations as shown below centre and right, with commentary adapted to curent issues (Alternating between Complementary Conditions -- for sustainable dialogue, vision, conference, policy, network, community and lifestyle, 1983).

Map of transformations encoded by a circle of 64 hexagrams and their relationships
Shao Yong circle of hexagrams as communicated to Leibniz (1703)	Global, 'heads-together' networking conditions ('top-in')	Local, 'back-to-back' networking conditions ('top-out')
By Unknown - Perkins, Franklin. Leibniz and China: a commerce of light. Cambridge UP, 2004. 117., Public Domain, Link	Reproduced from Alternating between Complementary Conditions (1983)

The internal dynamics, as classically understood, are discussed separately from which the following images are reproduced (Encompassing the "attraction-harassment" dynamic with a notation of requisite ambiguity? 2017). Such images in 2D are immediately suggestive of projections into polyhedral variants in 3D.

Relational map from a Chinese cultural perspective? Projection of all 64 I Ching relational conditions (hexagrams) onto a circle (use browser facility to view enlarged version for details)
Original version by Anagarika Govinda (1981)	Addition of labels to version on the left	Alternative version with Chinese elements instead of the questionable non-traditional English interpretations
Reproduced with the kind permission of Anagarika Govinda, from the Inner Structure of the I Ching; the Book of Transformations (1981)	Labels added from Transformation Metaphors -- derived experimentally from the Chinese Book of Changes (I Ching) (1997)	Hexagrams and ideograms from Transformation Metaphors (1997)

The question meriting attention is how the coherence of seemingly incommensurable contrasts might be usefully represented with the aid of new technologies? Possibilitis ar suggested by the following.

Circle of hexagrams surrounded by a circle of codons	Examples of drilled truncated cube of 64 edges as a "pantheon" in 3D
	random attribution of genetic codons	random attribution of hexagram names
	Reproduced from Enabling Wisdom Dynamically within Intertwined Tori: requisite resonance in global knowledge architecture (2012)

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