Energetic Geometry: Modeling Configuration Space

Maroon Tabbal
UCLA
Radiology

Conventional modeling techniques can be insightful when applied to complex systems.

* With wood dowels, rubber tubing, Ping-pong balls and wheels I have built many architectural models representing a continuous dynamic system in the study of the Octet Truss, a Vector coordinate system based on Frequency & Angle.

* This 60 degree coordination versus the Cartesian 90 degree coordination has the first two regular polyhedral (Tetrahedron & Octahedron) tessellating to fill all space omni-directionally forming the 12 vectors of the Isotropic Vector Matrix (IVM).

* A 4 axis of coordination versus the 3 XYZ axes of the Cartesian coordinate system reveals consistent relationships between spherical packing and the empty space in between.

* The complementarity state provides structure (Triangle) and the polarity state provides movement (Square) to this perpetual scenario system.

* The symmetrical 3D assembly of 8 triangles and 6 squares denotes a semi regular polyhedral (Cub-octahedron) referred to as the Jitterbug.

* This dynamic form models harmonic transformation of the Icosahedrons (4th. regular polyhedral) from the jitterbug to the second regular polyhedral.

* The Icosahedron is the platonic solid that when truncated models the Carbon 60 molecule otherwise referred to as a Bucky-ball, named after the Architect R. Buckminster Fuller.

* My Geometrical explorations are based on Fuller's Synergetic Geometry that can further contribute to the complexity of multi-dimensional navigation.


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