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Titlebook: Geometry and its Applications in Arts, Nature and Technology; Georg Glaeser Textbook 2020Latest edition Springer Nature Switzerland AG 202

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,Die Erscheinungen an den Grenzflächen,The title’s wordplay is perhaps an indication of this chapter’s intentions – namely, to bridge the gap between nature and geometry. It is well-known that many of the surfaces or solids described by geometry can be found in nature, in both the macrocosm and the microcosm.
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An idealized world made of simple elements,In this chapter, we will learn about the most important building blocks of the geometric world: points, straight lines, and circles in the two-dimensional drawing plane, as well as planes, circles, spheres, cylinders, and cones of revolution in three-dimensional space.
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Polyhedra: multi-faced and multi-sided,Planes are non-curved spatial surfaces. Surfaces which are composed entirely of planar polygons are called polyhedra. Polyhedra have been (and still remain) key to many geometric insights.
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