Individually create a "new" fractal and analyze its fractal dimension.
Fractals are objects that display self-similarity with a never ending pattern that repeats itself at different scales. See What are Fractals? or Canvas > Content for more information.
Create a fractal or modify an existing fractal to create something "new".
The goal is to create a new geometric fractal. "New" can be a modification of existing fractals as long as the original fractal is cited with a description of modifications. Possible ideas:
Once you have a possible idea, check to make sure that the fractal is not an copy of well-known fractals. Here are three possible searches to help: circles, squares, triangles
If you would like feedback, email the instructor pictures of the original shape and first iteration of the fractal rule.
Post separate images of the fractal.
Submit a paper that describes the fractal and justifies the fractal dimension.
Provide a clear definition for how the fractal is created. It may help to use transformations (dilation, translation, reflection about a line, rotation about a point) to give a precise definition.
Also compute the fractal dimension \(N = S^D\), where:
Each value should have some justification.
Iterations
___ images or PDF clearly show fractal iterations.
Paper
Definition is ___ sufficient to create fractal without the aid of the images.
Justification for the fractal dimension _____
Fractal dimension is _____