What ensures the mapping is consistent?

The skill uses deterministic SplitMix64 decomposition of a thread's seed value to calculate offsets, ensuring the same state always maps to the same position.

How are the screen regions divided?

The screen is split into three triadic regions: MINUS (left/validator), ERGODIC (center/coordinator), and PLUS (right/generator).

Does this skill support macOS automation?

Yes, it is designed to work with tools like macos-use to provide specific (x, y) coordinates for automated clicking and element traversal based on thread states.

What is the purpose of Planar Isotopy Screen Mapping?

It translates abstract thread relationships into concrete screen positions while preserving topological properties like adjacency and handedness.

Planar Isotopy Screen Mapping

Name: Planar Isotopy Screen Mapping
Author: plurigrid

byplurigrid

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Herramientas de Diseño

Transforms abstract thread states and observations into deterministic screen positions using topological planar isotopy principles.

Planar Isotopy Screen Mapping is a specialized spatial layout engine designed to translate complex thread relationships and internal states into a consistent 2D visual grid. By utilizing planar isotopy, the skill ensures that critical topological invariants—such as adjacency, handedness, and area conservation—are maintained during the transformation from abstract data to screen coordinates. This provides developers with a deterministic way to visualize 'topological chemputer' systems, enabling clear UI mapping, structured monitoring, and precise coordinate generation for automated macOS screen interactions.

Características Principales

01Preservation of topological invariants like adjacency and handedness

02Deterministic seed-to-coordinate mapping using SplitMix64 decomposition

038 GitHub stars

04Triadic region partitioning (Minus/Left, Ergodic/Center, Plus/Right)

05Seamless integration with macOS UI automation and click-traversal tools

06Non-crossing observation line generation for conserved thread states

Casos de Uso

01Generating deterministic screen coordinates for automated UI testing and interaction

02Designing spatial monitoring dashboards that reflect logical state transitions through color and position

03Visualizing complex thread-based architectures in a structured and predictable 2D layout

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi planar-isotopy-screen

For use in Claude.ai and ChatGPT

Download Skill