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·9 min read
The Order Book: How Price is Actually Born
A hands-on look at how a limit order book works — matching engines, price discovery, support and resistance zones — with a live simulation you can drive yourself.
Tag
#interactive
12 posts tagged with this.
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·11 min read
The Challenges of WebGL
WebGL lets you run shaders in the browser — and that's genuinely magical. But using it for arbitrary GPU computation quickly reveals a thicket of constraints that OpenCL and WebGPU were designed to escape.
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·6 min read
The Bertrand Paradox: When Randomness Needs a Definition
A deceptively simple question — what is the probability that a random chord of a circle is longer than the side of its inscribed equilateral triangle? — has three different correct answers depending on what 'random' means.
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·16 min read
Generating Fake Stock Charts: From Random Walks to Order Books
A deep dive into synthetic stock price generation — from naive coin-flip random walks, through Gaussian distributions and fat tails, to a simulated order book — and how candlestick pattern analysis reveals the gap between each model and reality.
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·9 min read
Why Tuning a Piano is Mathematically Impossible
Perfect harmony is a mathematical impossibility. Here's the beautiful, maddening reason why — and how piano tuners have learned to live with it.
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·9 min read
The Abelian Sandpile: A Group Hiding in a Pile of Sand
The Bak–Tang–Wiesenfeld sandpile model (ASM) is a deceptively simple cellular automaton that conceals a rich algebraic structure — an abelian group whose identity element is a non-trivial fractal-like configuration.
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·9 min read
Detecting Hallucinations in LLM Summaries
LLMs write convincingly but fabricate facts. A practical tour of automated detection techniques: BERTScore, embedding similarity, ROUGE/n-gram overlap, NER-based cross-referencing, and QAEVAL.
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·9 min read
From Regex to Automata to Generators
How regular expressions compile to deterministic finite automata — with an interactive visualizer, a DFA-powered string generator, and a note on closing the loop with property-based testing.
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·11 min read
Fuzzy Search: Typos, Tries, and the Algorithms Behind Instant Results
A deep dive into how fuzzy search works — from edit distance and tries to stemming, BK-trees, and how Lucene/Elasticsearch find typo-tolerant matches at scale.
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·8 min read
Perfect Hash Functions: Collision-Free by Design
A deep dive into perfect hash functions — what they are, why they matter, how to find one efficiently with parallel search, and how they compare to JavaScript's built-in Map.
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·7 min read
Raft & Viewstamped Replication: Consensus Visualized
An interactive deep-dive into two landmark distributed consensus algorithms — Raft and Viewstamped Replication — with live simulations you can explore and break.
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·3 min read
The Fourier Transform: From Sines to Signals
A visual and mathematical journey through one of the most beautiful ideas in all of mathematics — decomposing any signal into its frequency components.
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