Named geometric objects and finite geometric configurations studied as individuals. Belongs here: the Sierpinski Triangle and the Hilbert Curve, self-similar and space-filling constructions studied for their geometric rather than dynamical properties; the Fano Plane, the smallest projective plane, a finite configuration of seven points and seven lines. Does not belong here: the general theory of Euclidean, differential or discrete geometry, the branch entity Geometry, and topological objects defined by what survives continuous deformation rather than by distance or incidence, filed under Topology below.
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Sources
1. Wikipedia: Geometry
Wikimedia FoundationHistory sectionQuote, History section
Around 300 BC, geometry was revolutionized by Euclid, whose Elements, widely considered the most successful and influential textbook of all time, introduced mathematical rigor through the axiomatic method.
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