Snatched My Favorite Study Spot At The Library! Doing Some Thought Organizing Before I Meet With My Research

And then use them for super and subindexes, of course

Imagine getting lost in woods then you find a Bulbasaur trying to help you 

Gravity wells.

Littlewood polynomials are polynomials all of whose coefficients are either +1 or −1 (so even 0 is not allowed). If you take all Littlewood polynomials up to a certain degree, calculate all their (complex) roots, and plot those roots in the complex plane, then you get a beautiful fractal-like structure above.

The image is slightly misleading, because the “holes” on the unit circle tend to completely fill in if the degree goes up. Intuitively, the holes mean that complex numbers on the unit circle that are close to low-degree roots of unity are hard to approximate by low-degree Littlewood polynomials (unless they already are roots of unity).

In particular the structure at the edge of the ring is deeply interesting. Notice the familiarity with the dragon curve?

Those and under the sea, as well

And I don’t need your permission to defend the North.

Moving blog! @chaoticaldynamics

Hi everyone! I’m moving my blog to @chaoticaldynamics

Long story, but tumblr is a chaotic website. Follow me there if you are interested!

Since I already brought up my university’s chaplain once today, I thought I’d share with you the best advice he ever gave me.

If someone is suffering and you want to help, instead of saying “let me know if there’s anything I can do,” offer a few options of things you know you can do.

“Can I do your dishes while you study for your exam?”

“Would it help if I came to the waiting room with you?”

“I can distract you if you like.”

When someone’s suffering, making them choose how to be helped can sometimes be an extra burden, especially if they don’t know how serious your offer is. By giving examples, they only need to say yes/no, and they know you wouldn’t offer anything too big for you to handle.

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Almost done with my concentration!