more-mathematics-mor-lam

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Happy Pride Month.

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Bad news for breast fans

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A lot of people are made anxious by the axiom of choice but not me. I can accept and believe a lot of things when it comes to having access to that sweet, sweet Zorn’s lemma

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Me, reading a math paper at 6:30 am

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🙏🙏🙏🙏🙏🙏🙏

Coming to you with tears in my eyes, only to say: man I love elliptic curves

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Coming to you with tears in my eyes, only to say: man I love elliptic curves

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Hans Neumann (1873–1957) - “Vampyr”

colour woodcut on japan paper, c. 1902

source

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It’s all real… I’m not “crazy” after all

When you enter “survival mode,” the world exists through an entirely new filter. You learn to expect the hard times, even crave them. You find a sick facade of comfort in the slipping assignments, the empty bank account, the fact that your brain seems to be “gradually shutting down.”

Quitting feels like a beautiful relief — I was more than ready to throw in the towel.

Then I went to a mathematics talk.

Five months later, I’m friends with the cohort; I’m doing research with their advisor, I’m experiencing things that I could have never imagined, even on my “healthiest days.” They say:

“Have you considered graduate school, let’s introduce you to potential advisors…”

Why do you believe in me?

“Come audit graduate courses at some of the best institutions; we’d love to have you”

But my transcript—

“You ought to stop applying to retail jobs, we’ll find you something that pays better — focus your mind on math”

I’m not even your student…

I don’t fully understand what they see. My nearsightedness extends far beyond physical eyesight, and I doubt any optometrist could correct such an ailment.

I work on math, and my mind clears. I see what my advisor was hinting at — the depth in combinatorics, geometry… just how far this project could extend.

I see the paper — I’ve just gotta prove the pieces.

And to think, this all happened because I chose to deal with my distress through attending math talks.

Because I found comfort in hearing how they discussed research ideas with ease, eventually wanting to join in and truly grasp each topic myself.

I never had a professional agenda.

I wanted to enjoy math for a little longer, however long I might’ve “had left” before becoming incapacitated.

And now I’m living a new life… one that feels right but terrifying in it’s own right. I’d still never call myself “smart,” but my mind does work.

I’m not dying.

And I want to be a mathematician.

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Tonight’s mood

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There he is. There’s my boy!!!

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It’s hard to believe but I finished something that’s not (exactly) math today. Reflective plane curves

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i somehow ended up on a radical christian website and this was their system of upvotes and downvotes. Bless. 

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Wrapped up a piece I’ve been working on for awhile

It’s hard to believe but I finished something that’s not (exactly) math today. Reflective plane curves

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A circle inscribed in a square covers 79% of the square.

A ball inscribed in a cube fills 52% of the cube.

A 4-ball inscribed in a hypercube fills 31% of the hypercube.

A 5-ball inscribed in a 5-cube fills 16% of the 5-cube.

⋮

A 9-ball inscribed in a 9-cube fills it up less than 1% of the way, yet there’s no room to fit a second ball of the same size without intersecting the first.

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In dimensions 23 and up, you can fit a little cube in the corner of the diagram, such that the cube has a larger volume than the ball!

That's especially disconcerting because the 23-cube has 8,388,608 corners. Even if you inscribe the little red cubes in all eight million corners, your big cube will still be 99.5% empty space.

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“I don’t do math because I’m gay” “the gays can’t do math” “If I explain math on tumblr I’ll lose my gay card” all of you apologize to Alan Turing right now