Fractals are geometric shapes that can be zoomed infinitely, but still provide us with the same level of detail.
They are useful for creating mathematical models of real-world objects that are self-similar, such as snowflakes or coastlines on a map. These objects are difficult to measure by traditional methods because their boundaries become more complex the closer you look at them.
- Fractal medicine: Fractals are useful in medical diagnoses. For example in cancer detection, because healthy human blood vessel cells typically grow in an orderly fractal pattern, cancerous cells, which grow in an abnormal fashion, become easier to detect.
- Image compression and resolution: Since fractals allow us to convey seemingly random patterns with little data, working with image resolution and even 3D model creation becomes hugely data-efficient using fractal image coding (FIC) and other applications.
- Antennas: Fractals are helpful in creating and operating antennas due to it's self similar nature. Curves like the Hilbert curve can be used to design high-performance and low-profile antennas.
- Art: The simplistic to the complex range of rules that govern fractal creation are downright alluring for artists. For example, the Mandelbrot set is well known for providing different “scenes” based on the colour scheme used for its display.
We would make an application in Unity for users to drop in our 3-D fractals and play around with the various values on toolbox to see how they affect the fractals
The 3 Fractals we are focusing on :-
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Mandelbulb
![Image](https://camo.githubusercontent.com/be7ad6827d064477424932850221dfff7001289fb9d0f0ceb4a063b934540049/68747470733a2f2f646f63732e61726e6f6c6472656e64657265722e636f6d2f646f776e6c6f61642f6174746163686d656e74732f33363530333633322f696d616765323031342d312d313325323038253341343625334133392e706e673f76657273696f6e3d31266d6f64696669636174696f6e446174653d31333839363032373431303030266170693d7632)
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Sierpinski Triangle
![Image](https://camo.githubusercontent.com/a63fc8c4250a0593d3163ca7fac1b32bce13e0c047d0a8dfff3b8545dc3b924d/68747470733a2f2f7777772e6963732e7563692e6564752f7e657070737465696e2f6a756e6b796172642f726f62657274642f7465747261727261792e676966)
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Koch Flake
![Image](https://camo.githubusercontent.com/29ed4fd1874ee9288f76682d01c6b833fea3d338a011699e0ed0464f9f28e418/68747470733a2f2f6d69726f2e6d656469756d2e636f6d2f6d61782f313032342f302a757a70303439587a58385a486348496d)
week 5 |
Start Mandelbulb Implementation |
Start Getting Presentation 1 Ready |
week 6 |
Finish Mandelbulb Implementation |
Finalize and practice material for presentation 1 |
Update webpage with information on Mandelbulb Implementation |
week 7 |
Start Sierpinski Triangle Implementation |
week 8 |
Finish Sierpinski Triangle Implementation |
Update webpage with information on Sierpinski Triangle Implementation |
Start Koch Flake Implementation |
Begin creating final application template |
week 9 |
Finish Koch Flake Implementation |
Update webpage with information on Koch Flake Implementation |
Begin putting material together for final presentation |
Update webpage with demo. |
week 10 |
Practice and deliver final presentation |
Top 5 Applications of Fractals
Sierpinski Triangle
Koch Snowflake
IFS
Mandelbrot