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2. Rigid transformation - Wikipedia

   en.wikipedia.org/wiki/Rigid_transformation

   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.

3. Homothety - Wikipedia

   en.wikipedia.org/wiki/Homothety

   Download as PDF; Printable version; ... form a group. The composition of ... the center of a homothetic transformation taking one of a pair of shapes into the other;

4. List of formulas in elementary geometry - Wikipedia

   en.wikipedia.org/wiki/List_of_formulas_in...

   Download QR code; Print/export Download as PDF; Printable version; In other projects ... This is a short list of some common mathematical shapes and figures and the ...

5. List of transforms - Wikipedia

   en.wikipedia.org/wiki/List_of_transforms

   Affine transformation (Euclidean geometry) Bäcklund transform; Bilinear transform; Box–Muller transform; Burrows–Wheeler transform (data compression) Chirplet transform; Distance transform; Fractal transform; Gelfand transform; Hadamard transform; Hough transform (digital image processing) Inverse scattering transform; Legendre ...

6. Symmetry (geometry) - Wikipedia

   en.wikipedia.org/wiki/Symmetry_(geometry)

   A drawing of a butterfly with bilateral symmetry, with left and right sides as mirror images of each other.. In geometry, an object has symmetry if there is an operation or transformation (such as translation, scaling, rotation or reflection) that maps the figure/object onto itself (i.e., the object has an invariance under the transform). [1]

7. Geometry - Wikipedia

   en.wikipedia.org/wiki/Geometry

   Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') [1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [2]