# 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

1. divide a line segment into three equal parts.
2. 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.