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We show the first unified description of some of the oldest known geometries such as the Pappus’ theorem with more modern ones like Desargues’ theorem, Monge’s theorem and Ceva’s theorem, through octonions, the highest normed division algebra in eight dimensions. We also show important applications in hadronic physics, giving a full description of the algebra of color applicable to quark physics, and comment on further applications.


This article was originally published in the Journal of Physics: Conference Series 766 (2016) 012001. doi:10.1088/1742-6596/670/1/012016.



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