#todo god help me

Definition

An object is considered symmetrical if it does not change after a set of transformations. These transformations can include:

  • Reflection - Flipping an object around a line (for 2D objects) or plane (for 3D Objects).
  • Translations - Moving the object in a certain direction. Most finite objects are translationally asymmetrical. Infinite objects, however, are usually translationally symmetric. To visualise this, imagine you have a viewport through which you can see objects. If the viewport changes during a translation, the object inside the viewport is translationally asymmetric.

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  • Rotation - Rotating the object around a point or line. Various 2D objects have different degrees (or order) of rotational symmetry, which symbolise how many orientations the object can be in and look the same. 400
  • Scaling. Very few objects possess scale symmetry, but notable exceptions are fractals (when scaled to certain amounts): images 1