Op2 and the G2 to B3 to D4 to B4 to F4 Magic Triangle

Authors: John Frederick Sweeney

Mathematicians and physicists have long wondered why the Octionic Projective Plane (OP2), the Freudenthal – Tits Magic Square, or Magic Triangle and certain functions of the Octonions and Sedenions abruptly end. This paper lays out the various elements included in these conundra, with the assumption that irregularities and undiscovered relationships between these structures account for the anomalies. In addition to the above, this paper investigates the G2 to B3 to D4 to B4 to F4 Magic Triangle, the twisted product of S7 x S7 x G2, which leads to the Sedenions, the exceptional singularities, Kleinian singularities, Coxeter Groups H3 and H4, Polytope (3,3,5) , the 600 – cell and the binary icosahedral group.

Comments: 64 Pages.

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Submission history

[v1] 2013-08-19 12:04:41

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