I built a Gröbner Basis engine that solves 7-variable systems in the browser

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I’m a self-taught developer without formal education. After 3 months of intense study, I built a Gröbner basis engine that runs in the browser.

What it does:
– Solves complex 4D systems like w²+x²+y²+z²=1 with symmetric constraints
– 5-polynomial basis in 10 iterations
– Exact BigInt arithmetic, zero approximations
– Pure TypeScript, no dependencies

Why it matters:
This makes advanced computational algebra accessible to anyone with a browser – no expensive software licenses needed.

Technical details:
– Buchberger algorithm with optimized pair selection
– AST architecture with Flyweight/Visitor patterns
– Handles up to 7 variables practically

Live demo: https://romimath.pages.dev
(Currently Gröbner basis – more features coming this week)

I’d love feedback from the computational math community.


Comments URL: https://news.ycombinator.com/item?id=45742795

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# Comments: 0

Source: news.ycombinator.com

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