Good topic for a year 10, 5-8 page paper?

Basically I have to write a paper on any topic. I want to to in in Maths but I have yet to really decide on anything specific. The Banach-Tarski Paradox is the top contender by a long shot at the moment but I don’t know if I could do it justice in just 8 pages, especially concidering that I have to give a presentation to my classmates as well.

I wanted to do the Mandelbrot set but someone else has already claimed that. I kinda want to do something that’s a little obscure but also simple enough to explain/understand in a 20 minute talk. I also have to make some sort of contribution of my own i.e not just rephrase established formulas and explainations from a textbook. So I need a bit of wiggle room there.

Do you guys think Banach-Tarski is a good idea for this or do you have any other suggestions? I’m honestly open for anything.

submitted by /u/Fenrir-2003
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Nevin Manimala

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