Hark back 11th century, we find algebra shackled by geometry. So, there was no honour in the negative number. When algebra was released, it opened a new world for us. Before then, geometry had brought so much joy to generations and established its omnipotence. Today, conics is a bounty of joy. It is a loyal tool as we observe the dynamics of the universe. Yet, our social world exhibits cubics but we have hardly explored that world. Does conics shackle cubics?
Generalized conics or Euclidean surfaces generates high dimensional surfaces, called Riemannian manifolds.
Cone and cubes are consistent with each other and give us broader areas for research into the secrets of differential engineering relationships. Their relationship is strong and interdependent. For example, it is well known that any plane cubic curve can be obtained as the discriminatory position of a conical beam (in fact even just a network of cones). So no one can cancel or hinder the other.
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Preprint Lerch's Φ and the Polylogarithm at the Positive Integers
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