Using the center coordinate and zoom factor to draw the following Mandelbrot Set visualizations. Source Code:
Be able to define and implement functions
Using the center coordinate and zoom factor to draw the following Mandelbrot Set visualizations. Source Code:
Write a Python program to generate hundreds of images of Julia Set with ever zooming ranges. Please note that Turtle is not used in this project for speed consideration. Then
Generalize the three overlapping circles project by letting it draw any number of overlapping circles. The following is the overlapping circles from size 2 to size 7. Solution
Draw the following overlapping circles. Please note that each circle passes through the center of the other two circles. Solution We observe that the centers of the three circles form
In this project, we are generate several Julia Sets by varying the constant c in the normal Julia Set function. Turtle will be too slow to do this work. Instead
Use recursion to draw the following snowflake shape generated from 6 sub-fractals of splitting lines. The following figures show recursion depths ranging from 0 to 4. Solution: To solve this
Lori Gardi created this nested overlapping circle fractal in the paper ‘The Universe is a Fractal’. The fractal according to the paper looks similar to a supernova. A simple version
In a previous project, we drew a star fractal with recursion. A tutorial and source code were provided in that project. Based on the code, draw the following colorful star
In a previous project, we drew a star fractal with recursion. A tutorial and source code were provided in that project. Based on the code, draw the following colorful star
Draw the following fractal made up with stars. You may need to use recursion and trigonometry to do this project. The following figures show star fractal with different recursion depths