Jordan Schneider

speaker

408 appearances 2 recordings 2 series first heard Oct 2025 last heard 21 May

Jordan Schneider’s voice in public audio — every appearance, attributed to the second.

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Recordings per month over the last 12 months — 2 in all, peaking in May 2026 with 1.

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Okay, so like, what does that mean?

Basically, we have the real plane, 2D, and we have a bunch of points on it.

How many pairs of those will be basically one unit apart?

What's the max number?

How do we basically organize those points such that we have the max number of them?

No, so you would think that, but I can basically explain why.

So let's kind of like formalize this better.

So we have u of n, right?

And this is basically the largest number of unit distance pairs among n points in the plane.

Okay, so basically like we're thinking about like, how do we solve this naively?

It's like, okay, what if we just take all the points

we have n points, and we just put them in a line, and unit distance apart, right?

So it looks something like this.

So for this example, we have four points, but it doesn't matter, it's just n. So one, two, three, four, how many pairs are there?

There's three, right?

So basically this scales with n minus one.

So you would have a billion points, and there's nine, nine, nine, nine, whatever, n minus one.

Okay, so now if we put it in a grid, what happens?

So if we have a square grid here,

There's nine points here, and then how many pairs are there?

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