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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FL score

42

out of 100

Verdict

SKIP

low confidence

Competition

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Trend

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A hyperbolic geometry note-taking app that trades practical usability for mathematical novelty.

The pain

Knowledge workers struggle with organizing non-linear thoughts across infinite canvas tools. Current solutions (Obsidian, Roam, Miro) use flat or tree-based structures that don't scale intuitively. Users hit cognitive limits when managing hundreds of interconnected notes.

The gap

The creator has solved the technical problem (non-Euclidean rendering) but hasn't validated whether the Poincaré disk model actually helps people think better or organize faster than existing tools. The assumption that spatial memory in hyperbolic space outperforms Euclidean space remains untested.

Build angle

Start with a tight user study: recruit 20 power users of Obsidian/Roam and have them organize the same 100-note knowledge base in both the hyperbolic tool and their current tool. Measure: time to find notes, cognitive load (NASA-TLX), and whether users naturally return to it. Only build further if hyperbolic layout produces measurable wins on specific tasks (e.g., exploring tangential connections, managing deep hierarchies).

Strengths

  • Novel technical execution, actually implemented non-Euclidean math in a usable interface, which is rare
  • Addresses a real limitation of infinite canvas tools (context collapse at scale)
  • Founder has deep HCI research background and genuine obsession with the problem space
  • Low competition in this specific niche; first-mover advantage if it works

Risks

  • Solving a problem users don't have, note organization pain may not be spatial/geometric in nature
  • Steep learning curve; users must develop intuition for hyperbolic navigation, which could be a permanent friction point
  • No clear monetization path; note-taking is crowded with free/cheap alternatives (Obsidian $40 one-time, Roam $15/mo)
  • Niche appeal; even if it works, addressable market may be <10k users (researchers, mathematicians, HCI enthusiasts)
  • Maintenance burden; hyperbolic rendering is computationally expensive and fragile across browsers
  • The creator built this to validate a concept, not because users asked for it, classic solution-in-search-of-problem

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