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The Continuity of Splines

Freya Holmér · 1.9M views · 2022-12-07 · 1:13:50

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Overview

Freya Holmer's 74-minute video essay on splines, covering Bezier curves, B-splines, derivatives and the different levels of continuity (C0, C1, C2), built with custom animation tools. She notes she did not cover non-uniform splines.

On Hacker News

It is the go-to recommendation for anyone who wants to genuinely understand Bezier curves and splines, and commenters repeatedly call it one of the best programming-related educational videos.

Recommended by 10 HN people across 11 months · HN mentions 2022–2026

Topics

Computer graphics & renderingRecreational & visual math
Search by tags
bezierb-splinescontinuityinterpolationcomputer graphicsmath visualization

What people said

viggity · 2025-08 · Strong recommendation

Anytime béziers are mentioned on HN, I feel compelled to share these absolutely incredible videos from Freya Holmér [VIDEO] (73 minutes) [LINK] (24 minutes)

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WillAdams · 2025-06 · Strong recommendation

For me, it's Bézier curves --- Freya Holmér has a wonderful video on them: [VIDEO] and I've been trying to read through _METAFONT: The Program_ and [LINK] and I keep wondering if I shouldn't just try scripting Inkscape.... I want to do a couple of different things, and not sure if they all fit in one project or no: - implement a single line font in my current project: [LINK] - implement a way to convert arbitrary curves into smooth arcs (for DXFs or G2/G3 arcs for G-code) - work up an interactive version of METAFONT/METAPOST which allows both programming and drawing

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viggity · 2025-02 · Strong recommendation

If splines/beziers are of any interest to you, I could not recommend these videos from Freya Holmer enough. [VIDEO] [LINK]

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Sources

Video by Freya Holmér, played through YouTube.

Data and selection notes

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HN Library: HackerTube export (2026-10-31) and open-index/hacker-news. Upstream summaries and classifications may contain AI errors.

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