Gemini Executive Synthesis

An infinite canvas note-taking tool utilizing non-Euclidean, hyperbolic geometry (Poincaré disk model) for spatial organization.

Technical Positioning

An infinite canvas note-taking tool that leverages the brain's spatial memory through a unique fluid distortion, projecting infinite space into a finite disk to keep everything contextually visible, addressing limitations of screen real estate.

SaaS Insight & Market Implications

This project explores a radical departure from conventional UI/UX for note-taking, leveraging non-Euclidean geometry to manage infinite canvas space. Its core value proposition is enhancing spatial memory and contextual visibility, addressing the inherent limitations of finite screen real estate. The use of LLMs to overcome complex mathematical hurdles in coordinate system design and optimization highlights a growing trend: AI as an enabler for previously intractable computational challenges in software development. While experimental, this tool represents a potential paradigm shift in information organization, moving beyond linear or hierarchical structures. It targets knowledge workers and researchers seeking advanced methods for thought organization, potentially unlocking new efficiencies in complex information management.

Proprietary Technical Taxonomy

Raw Developer Origin & Technical Request

Hacker News Jun 7, 2026

Show HN: Infinite canvas notes in the non-Euclidean Poincaré disk

Hi!This is an infinite canvas note-taking tool where notes are laid out in a non-Euclidean, hyperbolic geometric space. As you drag and navigate through the view, you’ll experience a unique fluid distortion that naturally leverages your brain's spatial memory.I’ve been obsessed with the concept of space in HCI for years. Many modern UI patterns are essentially workarounds for the lack of screen real estate. While researching zoom-based UIs a while back, I stumbled upon old HCI papers that used the Poincaré disk model of the hyperbolic plane to organize data. It elegantly projects an infinite space into a finite disk, keeping everything contextually visible.I wanted to build an experimental app around this concept years ago, but the non-Euclidean math was a significant roadblock. Recently, I decided to give it a shot with the help of LLMs. It turns out that LLMs can handle the mathematical heavy lifting quite well, specifically in designing the coordinate systems and optimization algorithms, provided that you guide them with a solid architectural design.This is still an experimental demo, but I hope it leaves an impression. I’d love to know if you find this paradigm practical for organizing your thoughts.

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Developer Debate & Comments

mapontosevenths • Jun 7, 2026

This is neat. I built an LLM once that stored its embeddings in poincare space, and it was a struggle for me to visualise what it was doing at first. This would have helped.

jlg23 • Jun 6, 2026

This is ideal for large argument maps, thank you!

penteract • Jun 6, 2026

I'm a bit more interested in what it teaches about the hyperbolic plane than I am in it's effectiveness as a note taking app (although the way it supports an exponentially growing tree does seem appropriate for depicting knowledge - I'd be interested to see something like a force directed graph of Wikipedia plotted on the hyperbolic plane).The points and arrows do move and change shape appropriately while panning, but the images and text do not. It might be possible to use feDisplacementMap (an SVG filter effect) cleverly to get the deformations right. This would probably make performance worse, and I'm not sure how readable the text would be, but it would mean that things wouldn't start overlapping each other while panning.

AxisAngles • Jun 6, 2026

This is very cool. It maps to my existing understanding of how knowledge actually works.You often don't need to see the whole hyperbolic disc, only some region in the center, and there, the text would largely still be readable.The arrows are drawn in hyperbolic space, but the text is not; it really should be. Then there will never be an overlap problem.Alternatively, the center of the text (or generally the anchor) of the text box could still be oriented to the screen to seed the render orientation, just like it already is, but allow the rest to be drawn following the rules of geodesics in the hyperbolic space. though I don't know if that would work as well.

nooron • Jun 6, 2026

I love it -- would like to use this daily.

ofalkaed • Jun 6, 2026

This would be fantastic on a tablet; stylus for entry and fingers for navigation would make it very efficient and a great improvement over the standard infinite page. I would probably pay for a non-web tablet version, it is rare my tablet is connected to the internet.

lioeters • Jun 6, 2026

Very interesting user interface concept, and smooth implementation. It's weirdly intuitive, like navigating on the surface of a sphere, or zooming in/out of a kind of spherical perspective where things that are further away are smaller in size. I had difficulty at first reaching some small clustered points, until I got the hang of it.An idea that came to mind is that maybe some shading would help, with closer areas brighter and more distant areas darker. Or, like another comment said, an option to show/hide a grid.

OneDeuxTriSeiGo • Jun 6, 2026

I really like the approach but it'd certainly be nice to be able to use alternate topologies.Also it'd be nice if there was an underlying grid plotting the metric/distance function to help conceptualize distance/relationships better when you get to the edges.

gatane • Jun 6, 2026

You might as well look at HyperRogue, where the whole game happens to be on the same model.

isoprophlex • Jun 6, 2026

It's Greg Egan's notebook!

Frequently Asked Questions

Market intelligence mapped to An infinite canvas note-taking tool utilizing non-Euclidean, hyperbolic geometry (Poincaré disk model) for spatial organization..

How is An infinite canvas note-taking tool utilizing non-Euclidean, hyperbolic geometry (Poincaré disk model) for spatial organization. positioned in the market?

Based on our AI analysis of the original developer request, its primary technical positioning is: An infinite canvas note-taking tool that leverages the brain's spatial memory through a unique fluid distortion, projecting infinite space into a finite disk to keep everything contextually visible, addressing limitations of screen real estate.

Are engineers actively discussing An infinite canvas note-taking tool utilizing non-Euclidean, hyperbolic geometry (Poincaré disk model) for spatial organization.?

Yes, we have tracked 23 direct responses and active debates regarding this specific topic originating from Hacker News.

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Our proprietary extraction maps An infinite canvas note-taking tool utilizing non-Euclidean, hyperbolic geometry (Poincaré disk model) for spatial organization. to adjacent architectural concepts including infinite canvas, note-taking tool, non-Euclidean, hyperbolic geometric space.

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Quantifies the cross-market adoption of foundational terms like LLMs and infinite canvas by tracking occurrence frequency across active SaaS architectures and enterprise developer debates.