Non euclidean geometry is sometimes connected with the influence of the 20th century horror fiction writer h p lovecraft in his works many unnatural things follow their own unique laws of geometry in lovecrafts cthulhu mythos the sunken city of rlyeh is characterized by its non euclidean geometry it is heavily implied this is achieved . Geometric insights into the structure and function of complex networks have led to exciting developments in network science this review article summarizes progress in network geometry its theory . The existence of relatively consistent non euclidean geometries leads him to the view that geometric propositions cannot be determined by a priori intuitions and that it is necessary to study the structural relations between euclidean and non euclidean geometry nye 1979 111 poincare established a famous dictionary translating concepts and propositions of lobachevskiis geometry . A major development in the refounding of the concept of infinitesimal took place in the nineteen seventies with the emergence of synthetic differential geometry also known as smooth infinitesimal analysis sia based on the ideas of the american mathematician f w lawvere and employing the methods of category theory smooth infinitesimal analysis provides an image of the world in which
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