In this paper, Ⅰ draw the attention of Nigerian mathematicians to the total neglect of a branch of mathematics —projective geometry — in all the courses mounted in the past twelve years at the National Mathematical Centre, Abuja and outline a programme of applications of projective geometry to elementary particle physics, which is intimately connected with contemporary fuzzy-set theory. The programme of applications is derived from an analogy of thought between Kepler's original geometrical approach to his three laws of planetary motion (which were subsequently derived by Sir Isaac Newton from Newton's equation of motion and inverse square law of universal gravitation) and Chinua Achebe's approach to the interaction between geometrical symbols of Judeo-Christian and African cultures. By extending these geometrical analogies to the interaction between Egyptian [pyramid] and Judeo-Christian [cubic] cultures (which follows from the principle of duality in projective geometry between a cube and the octahedron i.e., two pyramids on a common base), a new geometrical realization of the unity of the elementary particles (leptons, baryons and mesons) in fermion number-charge space is found.
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