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Understanding FractalsFeatured science projectScience project video

Abstract

The purpose of this project is to provide us with a clear understanding of what are fractals, and how to construct an image using fractals.

Hypothesis

Fractals can be used to make beautiful shapes and images.

Scientific Terms

Fractal, geometric, infinite

Background

Fractals

A fractal is a repetition of a simple geometric shape, at larger or smaller sizes repetitions of itself, in order to create a pattern or a shape based on certain rules. Based on a set of rules, the simple geometric shape can grow from one level to another, by adding on more shapes to the pattern in the previous level. This process can be repeated an infinite number of times.

Fractals can be used to mathematically reproduce on a computer various forms, shapes and structure that are found in nature. Very complex, colorful and beautiful images can be created on a computer using simple mathematical formulae.

Shapes like squares, rectangles, triangle or a circle can be mathematically defined.Until the discovery of fractals, objects found in nature like a leaf, flowers, clouds, mountains, snowflakes and even our galaxy could not be mathematically represented.

Fractals have many unique features and one of them is their infinite nature. Fractals can be used to expand to infinitely large coordinates from where we are now, to the edge of the universe. They can also be magnified to a microscopic level to view infinite details within the fractal image.

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Complexity level:
8
Project cost ($):
20
Time required:
1 hour to prepare, 1 day for research
Material availability:
Easily found
Safety concerns:

Handle the paper cutter with care to avoid injury Adult assistance is required.