Number Theory

   

Cubic Tetrahedra (Part 1)

Authors: Marc Schofield

Tetrahedral numbers have a well-defined construction but are not the only way of building tetrahedra from numbers, as is evidenced in studies we will briefly consider as a motivation for looking at the following proposed construction of number shapes, this being a new perspective on a pattern often written in a slightly different context, to a different stacking of numbers. We will go on to look at a few properties of shapes built from this novel construction, including a few specific shapes built from prime numbers, taking us neatly into some parabolic equations with prime-heavy cartesian coordinates.

Comments: 14 Pages. [Corrections made by viXra Admin to conform with scholarly norm]

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Submission history

[v1] 2022-01-23 18:56:54

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