Long Beach 2010 PROCEEDINGS of the NPA 1 The Geometry of Light Michael Robert Evans 442 Ocean Avenue, Laguna Beach, California 92651 e-mail: michaelrevans@mac.com The Trion-Re’ is a fundamental structural unit of 3-D space on the basis of which a new...
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Long Beach 2010 PROCEEDINGS of the NPA 1 The Geometry of Light Michael Robert Evans 442 Ocean Avenue, Laguna Beach, California 92651 e-mail: michaelrevans@mac.com The Trion-Re’ is a fundamental structural unit of 3-D space on the basis of which a new geometry of 3-D space can be built: namely, the 3-D space in which no straight lines exist. To account for the curvature of space, this modification shifts the rules for a platonic solid, making the Trion-Re’ the sixth such regular solid and a unique structure of space/time. Traditionally, there are five Platonic Solids with congruent angles and equal, flat faces. However, we must modify the rule and include curved surfaces; in which case a new solid emerges more rudimentary than the tetrahedron. Henceforth called the Trion-Re’, this new solid is described as follows: 2-vertices, 3-flexible edges, 3-equal faces, an inside and an outside and spin ability. The Trion-Re’ can be used to generate new versions of the other five Platonic Soli
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