Shapes are one of the first things that human babies learn to recognize and according to many philosophers and scientists throughout history, the study of shape, and geometry more broadly, is one of the few instances where the human mind can come into direct contact with ultimate reality. Isaac Newton appealed primarily to geometric laws and shapes to construct his system of mechanics and Einstein’s greatest work involved describing the large-scale geometric shape of the universe. Ancient Egyptians understood the unique properties of different shapes and incorporated those insights into their monumental constructions like the pyramids, and the Greeks considered abstract geometric shapes to be among the most fundamental constituents of existence perfect idealizations of their imperfect material counterparts. Shapes have been studied by people since before recorded civilization. In more mathematical terms, one can think of the shape of an object as the mathematical description that remains when information about the location, scale, and orientation, and material properties of an object are abstracted away from. According to this intuitive understanding, the shape of an object is the external form or appearance of an object in space that can be represented by a set of lines oriented in some way. Intuitively, one can think of shape as a set of lines that enclose a space. The geometric shapes and their names below give you a general sense of what you will find in any given geometry classroom. One of the properties of objects that geometry studies is their shape.
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