Suggestive representation of dynamics of a cognitive wormhole associated with a quintuple helix

Psychosocial Learnings from the Spiral Form of Hurricanes (Part #7)

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Whether in the form of a triple helix or a quintuple helix, the framework offers a reminder that any approach to governance or innovation can be understood both in axial and in spiral terms -- as a strategic decision or as a developmental process. These recall the distinction between the "sword" of the executive and any contextual "chalice", as with "incubators" for innovation notably promoted as technopoles by the EU. As symbols the distinction has been explored by Riane Eisler (The Chalice and The Blade: our history, our future, 1987) as offering a new conceptual framework for studying social systems that pays particular attention to how a society constructs the roles and relations between the female and male halves of humanity.

Given the challice-like form of the framwork, the challenge of achieving this can be compared with the legendary quest for the "Holy Grail" (In-forming the Chalice as an Integrative Cognitive Dynamic: sustaining the Holy Grail of global governance, 2011). The cognitive dimension can be explorted in the light of a catastrophe theory approach to innovation and governance (Interrelating Cognitive Catastrophes in a Grail-chalice Proto-model: implications of WH-questions for self-reflexivity and dialogue, 2006). It is in this sense that the framework above can be variously used and amended to explore and illustrate different "stories".

The helical pattern can, for example, be rotated relative to the pentagram framework. Appropriate to this argument, as an exemplar of innovation, of further potential interest are any implications from such rotation in the light of the seminal insights of Nikola Tesla into the rotation of a magnetic field (Reimagining Tesla's Creativity through Technomimicry: psychosocial empowerment by imagining charged conditions otherwise, 2014). The two portions of the helical pattern can be rotated at different rates (as in the videos below), or in different directions relative to one another. The design could be enhanced in a number of ways.

Rotation of Quintuple Helix relative to double Pentagramma Mirificum
fast 10 rotations per second (mp4)	medium 1 rotation per second (mp4)	slow 0.2 rotations per second (mp4)
Animations produced with X3D Edit in the WRL and X3D models accessible above (but variously modified)

Rather than rotate the set of helices as shown there, small spheres can be set to move from the outmost end down the spiral and through the "wormhole" -- or allowed to emerge from it. In this modification the five helices are distinctively coloured and the pentagram framework is presented in a single colour. Spheres of corresponding colour move down(or up) the pathways provided by those helices. Of particular interest in the interactive mode is the curious ability then offered to inspect the conflation and fusion of the distinctive spheres as they enter or leave the wormhole at the origin point of the framework. This is best seen in a wireframe rendering. It can be understood as indicative of the dynamics of distinctive cognitive modalities as is typical of interdisciplinarity. Each helix is then suggstive of a distinctive thematic or cognitive stream of discourse.

Views of cognitive wormhole for coloured spheres moving along corresponding quintuple helix pathways
Wireframe view of wormhole (animation)	Quintuple helix in pentagram framework	Wireframe view from wormhole (animation)
Video version (mp4)		Video version (mp4)

Sphere fusion at wormhole	View from wormhole of approaching spheres	Partial sphere fusion prior to wormhole
Animated versions created with X3D-Edit. Interactive versions: X3D format; WRL format

The images and animations above derive from a single interactive model showing the 5 spheres in movement into and out of the wormhole. The model offers a number of viewpoints, most notably views of the wormhole and views from the wormhole, in adition to views from each end of the quintuple helix -- of spheres spiralling into and out of the wormhole. The design choice regarding direction of movement of spheres, into and out of the wormhole, has been made for illustrative purposes only. Clearly various alternative design choices could have been made.

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