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Any object will keep the same shape and size after a proper rigid transformation. All rigid transformations are examples of affine transformations. The set of all (proper and improper) rigid transformations is a mathematical group called the Euclidean group, denoted E(n) for n-dimensional Euclidean spaces.
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In mathematics, transformation geometry (or transformational geometry) is the name of a mathematical and pedagogic take on the study of geometry by focusing on groups of geometric transformations, and properties that are invariant under them.
The superformula is a generalization of the superellipse and was proposed by Johan Gielis in 2003. [1] Gielis suggested that the formula can be used to describe many complex shapes and curves that are found in nature.
Download QR code; Print/export Download as PDF; Printable version; In other projects ... Geometry is a branch of mathematics concerned with questions of shape, size ...
A catenoid A catenoid obtained from the rotation of a catenary. In geometry, a catenoid is a type of surface, arising by rotating a catenary curve about an axis (a surface of revolution). [1]
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