Geometry

   

The Iso-Dual Tesseract

Authors: Nathan O. Schmidt

In this work, we deploy Santilli's iso-dual iso-topic lifting and Inopin's holographic ring (IHR) topology as a platform to introduce and assemble a tesseract from two inter-locking, iso-morphic, iso-dual cubes in Euclidean triplex space. For this, we prove that such an "iso-dual tesseract" can be constructed by following a procedure of simple, flexible, topologically-preserving instructions. Moreover, these novel results are significant because the tesseract's state and structure are directly inferred from the one initial cube (rather than two distinct cubes), which identifies a new iso-geometrical inter-connection between Santilli's exterior and interior dynamical systems.

Comments: 16 pages, 4 figures, accepted in Algebras, Groups and Geometries

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Submission history

[v1] 2013-11-16 15:08:15
[v2] 2013-11-28 13:07:36

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