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Challenging conventional understandings of centre


Now as the Ultimate Cognitive Strange Attractor (Part #2)


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The following images serve as an introductory illustration of some alternative framings of "centre" in relation to "hole". They derive from arguments presented separately (World Introversion through Paracycling: global potential for living sustainably "outside-inside", 2013).

Animation of Sphere-Torus transformation
(Reproduced from Wikimedia Commons)
Animation of Klein bottle (by Konrad Polthier)
(Imaging Maths: inside the Klein bottle,
+Plus Mag
azine, September 2003;
[click for animated version or explore java applet]
Animation of Sphere-Torus transformation Animation of Klein bottle

The implications of the toroidal features of the images above have been developed separately and more specifically in:

The images below -- intertwining two tori -- are suggestive of the implications of "going down" any "cognitive "rabbit hole".

Screen shots of a dynamic virtual reality model of intertwined tori
(click on each variant to access and manipulate in 3D;
in the free Cortona VRML viewer, right click for preferences to switch from/to the "wireframe" presentation)
Dynamic virtual reality model of intertwined tori Red torus has a vortex (smoke ring) dynamic in the model interlocked tori wireframe interlocked tori with faces
Blue torus has a wheel-like dynamic in the model
VRML animations by Bob Burkhardt

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