Gores, gores, gores!
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- Опубликовано: 12 дек 2021
- I take a deep dive into the geometry of gores, the spear-shaped bits of maps used to make globes. This ends up with a generalized solution for any surface of revolution using just the tools of Euclid.
The ellipsoid gore generation tool mentioned in the video: attoparsec.com/artifacts/misc/... Наука
Criminally underrated channel. Very well presented and examined
Fascinating, and an excellent explanation as ever! And I loved your little mushroom at the end
Somehow, I'd only ever seen the "string round the foci" description of an ellipse, and not the one using concentric circles; suddenly, the reason why elliptic curves (as in cryptography) are elliptic curves! (You may now roll your eyes.) Of course, from a programming perspective, we get a series of operations to generate the next point, which instantly match up with the concentric circle approach; the geometry, though, is not obvious when you're in the modular diophantine space that cryptography's playing with.
Excellent video! An interesting topic, well presented. Nice work sir!
This was very enjoyable, my Dad learned drafting in considerable depth as part of his machinist training, and I like you mourn the passing of practical manual geometric construction into history. Computationally, that was a clever approach for the ellipse, dividing it into tiny equal-length segments and then just counting them! I did immediately see the generalization to arbitrary shapes almost immediately, so it was satisfying to see you develop that as well. Great, fun video!
Hidden gem right here!
I really like your presentation graphics. That must have taken a lot of time, but they work well.
Awesome stuff.
The Gor joke made me howl lol
Talk to Ron Covell! I'd love to see this method, and his metal working skills make something beautiful.
with truly the best of intentions, i _have_ to tell you that the object in the thumbnail looks like a plug. no not that kind, that's an electrical connector…
PS The gores are circumscribed on the spheroid, rather than inscribed.
Cool.
thankss
Yea I like gore too