Questions tagged [fractals]

Questions on fractals, irregular-looking mathematical objects that display the property of self-similarity.

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9 votes
3 answers
748 views

Are the following topics usually in an introductory Complex Analysis class: Julia sets, Fatou sets, Mandelbrot set, etc?

I'm an nntaleb fan so I'm glad I learned about the Mandelbrot set, but I notice that said topics are not in Brown-Churchill or 'A First Course in Complex Analysis' while they are in Coursera's '...
11 votes
3 answers
782 views

What topics could be covered in a course on fractals?

I'd like to propose a class on fractals to my department in the next few years. One issue is that there seems to be no consensus on what a fractal is (see the wikipedia talk page on fractals, for ...
10 votes
2 answers
290 views

Teaching geometric transformations through fractals?

In roughly two weeks, my secondary geometry class will have reached the part of the year where we discuss geometric translations: translation, rotation, and reflection. Dilation i am going to use as ...
5 votes
2 answers
231 views

Fractal Generation Project: How to Continue?

Three months ago, we defined a programming project for some gifted middle school students: Writing code to generate simple fractals. Two of them have finished writing Pascal programs already! The ...