Because of its perfect symmetrical shapes as for example the golden rectangle.
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Piccasso Leonardo da Vinci - The Vitruvian man. Based on an ideal human proportion and geometry as described by Vitruvius.
It teaches everyone the advancements of the earth and that not only nature has its existings, but geomtry takes place everywhere. Geometry has to deal with figures, and that atracts artists.
geometry in real life as the statement seems is just simply geometry in real life if we observe carefully in our everyday surrondings such as the shape of trees ,cars ,houses and even our own human body we can observe geometry for eg. most houses are rectangular in shape etc.
One main characteristic of non-Euclidean geometry is hyperbolic geometry. The other is elliptic geometry. Non-Euclidean geometry is still closely related to Euclidean geometry.
molecular geometry is bent, electron geometry is tetrahedral