Is a triangle a fractal?
Is a triangle a fractal?
An equilateral triangle has 6 symmetry transformations that preserve the basic shape. Repeating the construction recursively on the remaining three triangles will produce a fractal that we might call a “triangle fractal” because it will live inside the original equilateral triangle.
How do you know if an object is fractal?
Simply put, a fractal is a geometric object that is similar to itself on all scales. If you zoom in on a fractal object it will look similar or exactly like the original shape….Fractals
- divide a line segment into three equal parts.
- remove the middle segment (= 1/3 of the original line segment)
What is an example of a fractal?
Fractals. A fractal is a detailed pattern that looks similar at any scale and repeats itself over time. Examples of fractals in nature are snowflakes, trees branching, lightning, and ferns.
What is Sierpinski’s triangle used for?
The Sierpinski triangle activity illustrates the fundamental principles of fractals – how a pattern can repeat again and again at different scales and how this complex shape can be formed by simple repetition. Each students makes his/her own fractal triangle composed of smaller and smaller triangles.
What is not a fractal?
First of all, fractals are not everywhere. Fractals are shapes that are self-similar in nontrivial ways at several different scales, such as the shape of a tree’s branches or a coastline. The arrangements of atoms in typical bulk solids are not fractal; they are crystalline. None of these shapes are fractal.