Mandelbrot-Mini-Project

Implementation of the Mandelbrot set for the Numerical Scientific Computing Course (Computer Engineering 8th semester, AAU)

Features

• Compare the different algorithm approaches: main.py
• Mandelbrot Interactive Navigator mandelbrot_navigator.py
• Mandelbrot Zoom Animation Zoom Animation/mandelbrot_animation.py
  • Video: https://www.youtube.com/watch?v=L2zKIrriDfI
• Mandelbrot Iteration Animation Iterations Animation/mandelbrot_iteration_animation.py
  • Video: https://www.youtube.com/watch?v=8BjqgaIuses

Generated Content

High resolution render

High resoultion render of the mandelbrot set HighResolutionRender/ImageRender.py

Image computed using:

• Size: (1e4, 1e4)
• Iterations: 100

Animated Zoom

Generated sequence of zoom into fractal mandelbrot_animation.py

Demo of zooming into fractal

Animated Iterations

Generated sequence of zoom into fractal mandelbrot_iteration_animation.py

Demo of animating iterations

Interactive Navigator

Navigation through the Mandelbrot Set by using keyboard controls mandelbrot_navigator.py

Performance Results

Approach	Computation Time (s)
mandelbrot_naive.py	393.58
mandelbrot_vectorized.py	160.92
mandelbrot_numba.py	115.25
mandelbrot_multicore.py	37.89
mandelbrot_dask.py	25.07
mandelbrot_opencl.py*	1.07

*Limited to float64 precision

	Complex64	Complex128
np.float16	155.10s	193.18s
np.float32	157.76s	199.54s
np.float64	199.08s	223.37s

Parameters

• Size: 10.000x10.000
• Iterations: 100

Specs

• Intel® Core™ i5-11300H-processor @ 3.10GHz
• 16 GB DDR4 Ram @ 3200MHz

Setup

Install the necessary packages by running the command within the root project directory:

pip install -r requirements.txt

Group

• Lukas Bisgaard Kristensen