onFractals
What Are Fractals?!
Simetries
First, we got to know how symmetry happens on nature. Then we can understand the new kind of symmetry that fractals exhibit.
- ****Translational****
In geometry, to translate a geometric figure is to move it from one place to another without rotating it. A translation ‘slides’ a set A by adding x to every thing in A.
- ****Reflection****
A figure which does not change upon undergoing a reflection has reflectional symmetry.
In 2D there is a line/axis of symmetry, in 3D, a plane of symmetry. An object or figure which is indistinguishable from its transformed image is called mirror symmetric. In conclusion, a line of symmetry splits the shape in half and those halves should be identical.
- ****Rotational****
Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn.
Fractals structures
- ****Self-Similarity****
A self-similar object is exactly or approximately similar to a part of itself. Self-similarity is one of the most common property of fractals. This feature is usually associated to scale invariance. The parts are similar to the whole.