Kinematic properties and concepts such as the world line and proper time have been explained in Minkowski space using hyperbolic geometry, the space-time membrane in Relativity uses such non-Euclidean geometry as well. This new geometry- Euclidean space has gone on to find application in Mathematics and Physics. If we follow the same principle and draw a triangle on the surface, the sum of the angles would not necessarily be 180° as is the rule in Euclidean geometry that we are familiar with. To find the distances between two places, we would not draw a straight line between them, instead we would have to traverse the surface of the earth. The first question that comes to one’s mind is what does non-Euclidean space look like? To provide a familiar example, one can think of the surface of a sphere such as the earth. Non-Euclidean Geometry by i2ebis on depicting the fictional city ofR’lyeh from H.P. For the unfamiliar eye, what is non-Euclidean geometry? How would one define and identify such geometry? What are examples of it being used in art? How was art influenced by developments in theoretical physics? What is the artist trying to convey and how does non-Euclidean space help him? Do these ideas align themselves with a larger purpose? I shall delve into the use of such non-Euclidean geometry in art. It has also been used in art, to lend a more other-wordly, non-conformist feel to the work, especially during the Surrealist movement. It has found uses in Science such as in describing space-time. Non-Euclidean geometry is more like curved space, it seems non-intuitive and has different properties. Euclidean geometry is flat- it is the space we are familiar with- the kind one learns in school.
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