hardmath123
Joined 12 years ago
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Recent submissions
Comment · 1 year ago
Here's another blog post on this theme! https://github.com/kach/art-deco/blob/main/art-deco.ipynb
Comment · 1 year ago
Re: Low FPS webcam - here's an approach that attempts to analyze coin tossing data from the _sound_ rather than the _video_, since sound is typically recorded at a much higher sampling rate (high enough to "hear" the spinning of the coin). https://cs.stanford.edu/~kach/can-one-hear-the-fate-of-a-coi...
Comment · 2 years ago
Relatedly: The Second Eigenvector of the Google Matrix
Comment · 2 years ago
A lot of replies here are missing the key idea behind Penrose: that the "substance" and "style" of any mathematical diagram are separable. For example, the "substance" of a diagram might be a collection of sets with known subset relationships:
Set A, B, C
IsSubset(B, A)
IsSubset(C, A)
That same substance can then be rendered in many different styles, e.g. as a Venn diagram or as a tree diagram (substance vs. style is a lot like HTML vs. CSS). Importantly, Penrose's vision is that experts will author libraries of domains and styles, and end-users need only express the substance of their diagrams (i.e. the three lines of code above).
The second beautiful idea in Penrose is that diagram generation is expressed as a constrained optimization problem. This lets you easily experiment with layouts by writing constraints and sampling a variety of potential diagrams via stochastic search.
These two ideas set Penrose apart from most other diagram software out there. I really hope it gains wider adoption. Give it a try!
Comment · 4 years ago
I was inspired by this Rest of World post https://restofworld.org/2022/wordle-viral-turkish-japanese-t... to make a Hindi-language "Wordle" https://kach.github.io/shabdle/ just for fun. It was a little tricky figuring out how to adapt the game for Hindi's script, but I'm quite happy with my solution of using U+25CC ("dotted circle") to mark missing consonants.
Comment · 4 years ago
Indeed, you can "learn" (by gradient descent) new parameters to this algorithm, to generate fractals in any target shape that you want! https://hardmath123.github.io/chaos-game-fractal-foliage.htm...
Comment · 4 years ago
This reminds me of a small experiment I did with a friend, where we asked different people to independently write the HTML and CSS for a website (without communicating), and then put the HTML and CSS files together to see how well they worked. https://kach.github.io/generative-adversarial-web-developmen...