Poincaré Notes: Infinite canvas note-taking tool using hyperbolic geometry for spatial

What it does

Poincaré Notes is an infinite canvas note-taking application that organizes content using hyperbolic geometry instead of traditional flat Euclidean space. Users drag and navigate through a non-Euclidean spatial layout that creates fluid visual distortion as they move. The tool aims to leverage spatial memory by presenting notes in a mathematically different coordinate system than standard note-taking apps.

Who it is for

The tool targets users who take notes spatially and may benefit from alternative organizational systems. It appeals to those interested in experimenting with non-traditional UI patterns, researchers exploring spatial cognition, and note-takers who find linear or hierarchical organization limiting.

Pricing

The site does not show prices.

How it stands out

Poincaré Notes applies the Poincaré disk model of the hyperbolic plane—a concept from mathematical HCI research—to a consumer note-taking product. This geometric approach differs fundamentally from competitors like Obsidian, Roam Research, or Notion, which use flat, grid-based, or tree-based layouts. The distortion effect creates a novel navigation experience that attempts to exploit how human brains retain spatial information. Most note-taking tools treat spatial organization as a workaround for limited screen space; this product treats space itself as the primary organizational mechanism.

What a founder should check

Switching costs from incumbents. Note-taking apps create high lock-in through years of accumulated content, linking habits, and integration with daily workflows. A founder building a rival should investigate how easily users can migrate existing notes from Obsidian, Roam, or other tools, and whether the spatial benefits are compelling enough to justify the friction of learning and porting data.

User retention and navigation learning curve. Hyperbolic geometry is not intuitive for most users. A competitor should test whether the spatial memory advantage materializes in practice or whether the unfamiliar navigation model frustrates users before they develop proficiency. Metrics on time-to-first-value and abandonment rates would reveal whether the geometric innovation is a feature or a barrier.

Pricing sustainability. With no visible pricing model, it is unclear whether this is a free tool, premium offering, or research project. A founder should determine whether the niche appeal of hyperbolic spatial organization supports a sustainable business model or whether monetization will prove difficult due to limited addressable market.

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