Brian Wecht
speaker
852 appearances
2 recordings
1 series
first heard Aug 2026
last heard 5 Sep
Brian Wecht’s voice in public audio — every appearance, attributed to the second.
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recordings per month · last 12 monthsRecordings per month over the last 12 months — 2 in all, peaking in Sep 2026 with 1.
Appearances
In two dimensions,
squared.
Volume of a
sphere
r cubed.
That just goes up with the number of dimensions.
But it's the coefficient.
So if you said r equal to one, the question is what happens to the coefficient in that volume, the coefficient of r?
And the totally non-obvious, non-intuitive fact is that it starts to go up, that coefficient of R to the whatever starts to go up and then goes back down.
And as you go to arbitrarily high dimensions, the volume of that sphere goes to zero.
So
it's an interesting thing.
So if you actually calculate it, you find that the biggest coefficient is in D equals five for reasons that are not obvious.
And then basically what's happening is the cube gets kind of more and more corners and the sphere takes up less and less of space
cube.
It is not an obvious statement.
It's very, very counterintuitive.
But yeah, that's the weird physics and math in higher dimensions is extremely non-intuitive.
And I've always found this to be a fascinating result.
Brian,
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