We containerized an egg, scaled to a dozen on k8s, rewrote the chicken in Rust, and still couldn’t crack PMF—turns out all we needed was a shell script.
I know I'm weird but I love posts like this. I keep thinking there should be a paper for solving any closed form curve but haven't found it yet. (Symmetric curves are 'easy' but asymmetric like the egg get complicated fast. Solving a bowling pin (for example) would be interesting)
I'm partial to the piriform curve [1], which I call the "gumdrop curve." I had a lot of fun trying to make a game where the characters were gumdrops. I could change either parameter (width or height) while keeping area constant, so I could have procedural animations of them stretching to give the impression of falling from a great height and such. (Keeping area constant is a basic principle in making animations believable.)
I didn't end up finishing the game but I learned a lot about programming UIs and using canvas-like interfaces.
If you turn up such a paper I'd love to take a look. It does seem like something that you could solve with gradient descent once you've guessed the right family of curves (eg Lissajous curves).
Rendering nerds will know and love Eric Veach's classic glass egg renders from his thesis (e.g. page 362): https://graphics.stanford.edu/papers/veach_thesis/thesis.pdf
A true classic.
We containerized an egg, scaled to a dozen on k8s, rewrote the chicken in Rust, and still couldn’t crack PMF—turns out all we needed was a shell script.
Anyone else into pink flamin' eggs? https://www.youtube.com/watch?v=VHzVHmmHHPk&t=65s
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Related reading:
Eggquations https://matheminutes.blogspot.com/2013/03/eggquations.html
Mathematically Designing an Egg https://konfou.xyz/docs/mathematically-designing-an-egg.pdf
Equation of Egg Shaped Curve II (Egg Shaped Curve proposed by Mr. Itou) https://nyjp07.com/index_egg_by_Itou_E.html
I know I'm weird but I love posts like this. I keep thinking there should be a paper for solving any closed form curve but haven't found it yet. (Symmetric curves are 'easy' but asymmetric like the egg get complicated fast. Solving a bowling pin (for example) would be interesting)
I'm partial to the piriform curve [1], which I call the "gumdrop curve." I had a lot of fun trying to make a game where the characters were gumdrops. I could change either parameter (width or height) while keeping area constant, so I could have procedural animations of them stretching to give the impression of falling from a great height and such. (Keeping area constant is a basic principle in making animations believable.) I didn't end up finishing the game but I learned a lot about programming UIs and using canvas-like interfaces.
If you turn up such a paper I'd love to take a look. It does seem like something that you could solve with gradient descent once you've guessed the right family of curves (eg Lissajous curves).
[1] https://mathworld.wolfram.com/PiriformCurve.html