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What is non-Euclidean geometry?

Non-Euclidean geometry is a branch of mathematics that studies the properties of geometric objects in spaces that do not satisfy the Euclidean axioms. Euclidean geometry is the geometry we are most familiar with and is used to describe the physical world around us. However, there are many other possible geometries, and non-Euclidean geometry studies those geometries.

Uses of non-Euclidean geometry

1. Non-Euclidean geometry has many applications in physics and other fields. For example, Albert Einstein’s theory of general relativity is based on non-Euclidean geometry. 
2. General relativity describes gravity as a curvature of spacetime, and the curvature of spacetime is described using non-Euclidean geometry.
3. Non-Euclidean geometry is also used in computer graphics to create realistic 3D images. For example, it is used to create images of black holes, objects that curve spacetime so much that light cannot escape.

Why study non-Euclidean geometry?

There are many benefits to studying non-Euclidean geometry, including

1. For students studying and aiming for a career in the advanced physics field, studying non-Euclidean geometry is beneficial. It provides a deeper understanding of the nature of space and time.
2. Job roles involving the development of new technologies, such as new computer graphics techniques, involve conceptual understanding of non-Euclidean geometry.