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Nonrepeating arrangement of colored rhombi built from a five-grid geometric construction

The program intersects five families of parallel grid lines and maps each intersection into a dual rhombus. It deduplicates tile vertices, colors the cells and exports the finite cropped patch; a coverage check detects gaps or overlaps in its central region. Grid construction, coloring and export run locally with no generation calls. Extent controls the number of intersections and tiles; canvas dimensions determine raster export work.

Needs
Python 3

v1.0.0 · Updated Oct 25, 2026 · 966 KB · Use it for personal and client work; please don't resell or share the package.

What you get

  1. Aperiodic mosaic PNG and editable closed-tile SVG

  2. Tile and grid-phase ledger

  3. Portable parameters and local artwork preview

Good for

  • Geometric art prints and nonperiodic pattern studies
  • Exploring five-direction tiling and color rhythms

Not for

  • A seamless repeating wallpaper tile
  • Manufacturing tolerances or infinite-patch certification

How it works

Includes a local renderer

  1. Choose the input

    Choose phase, density and a coherent five-color palette.

  2. Render and inspect

    Construct the grid intersections and their dual rhombi.

  3. Adjust and export

    Inspect cell joins and the crop, then export editable tiles.

How the workflow runs

How Aperiodic mosaic art works

The program intersects five families of parallel grid lines and maps each intersection into a dual rhombus. It deduplicates tile vertices, colors the cells and exports the finite cropped patch; a coverage check detects gaps or overlaps in its central region.

What's inside the skill

What you can change

  • extent: 4–16 grid steps
  • grid_phase: 0.01–0.9
  • border_width: 0–3 pixels
  • five-color palette, seed and canvas dimensions

What to review before delivery

  • Each exported rhombus has four equal-length edges.
  • Five hundred central sample points are covered exactly once in both checked examples.
  • The saved brief reproduces the PNG and SVG; unsafe replacement is rejected.

See the package files

These are selected working files from this edition, with their actual role. The complete download also contains instructions and applicable license notices.

  • The domain algorithm and invariant checks.

    scripts/recipe.py

  • Runnable, editable example parameters.

    examples/brief.json

  • Control meanings, proof interpretation and limits.

    references/design-notes.md

Why use this skill

Start with this package

The package supplies a real nonperiodic tiling construction and coverage checks. Its geometry differs from repeated decorative motifs or photographs matched to a regular mosaic grid.

Compare the options

A prompt, your own skill, or this workflow?

Start with a prompt

Your agent can create from a plain request. The brief, visual rules, asset choices, output format and review process still need to be established for that project.

Write your own skill

You choose and maintain the reusable instructions, defaults, file structure and checks. This is useful when your process needs different rules or integrations.

A workflow created for PopNow

This workflow was built for PopNow. Its source files, included dependencies and applicable notices are part of the package; the scope described below belongs to this edition.

Guide reviewed Oct 25, 2026

What will this cost?

Grid construction, coloring and export run locally with no generation calls. Extent controls the number of intersections and tiles; canvas dimensions determine raster export work.

The supplied route runs locally. A new-media request is a separate choice. Free skill. New media is quoted before it runs.

The skill package

Free to install under your account's download allowance. The package license covers your own and client work; redistribution is excluded.

Existing assets and local work

Reusing suitable assets, editing files and running local assembly do not call a PopNow generation model. Your computer and any required runtime still do the work.

Your agent and hosting

Any subscription, hosted computer, deployment or other provider fee belongs to that service. Installing this skill does not include those services.

How PopNow billing works

Connections using a PopNow API key, including API-key MCP connections, spend from the separate API balance in USD. A ChatGPT or Claude connection authorized through OAuth spends website credits. These balances are separate; the quote shown by your connection is the approval basis.

Download allowances and current account conditions apply. A free package does not mean unlimited free generation.

See model ratesAPI USD balanceWebsite credit packs

How to use it

You say

  • Use the PopNow skill "Aperiodic mosaic art" (aperiodic-mosaic-art) for this: Choose phase, density and a coherent five-color palette. Use the packaged example as a starting point and return the actual artwork with its editable inputs.

Then try

  • Rebuild a visibly different version using grid_phase: 0.23 → 0.41; extent: 10 → 7.

  • Explain the result using its actual proof files and algorithm ledger.

What to have ready

  • A five-color palette and desired pattern density
  • Python 3.10+, Pillow and NumPy

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Ratings

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Questions

Can I repeat this as a seamless tile?

This is a finite crop of a nonperiodic construction, not a repeating wallpaper cell. The outer edges are not paired for seamless repetition.

Are the colored cells editable shapes?

Yes. Every rhombus is a separate closed SVG polygon. The ledger retains its grid-family pair, vertices and fill; changing phase alters the actual geometry.

What costs depend on this workflow?

Grid construction, coloring and export run locally with no generation calls. Extent controls the number of intersections and tiles; canvas dimensions determine raster export work.

What is already packaged in Aperiodic mosaic art?

The domain algorithm and invariant checks. Runnable, editable example parameters. Control meanings, proof interpretation and limits.

Which parts of Aperiodic mosaic art can add a charge?

Grid construction, coloring and export run locally with no generation calls. Extent controls the number of intersections and tiles; canvas dimensions determine raster export work. Connections using a PopNow API key, including API-key MCP connections, spend from the separate API balance in USD. A ChatGPT or Claude connection authorized through OAuth spends website credits. These balances are separate; the quote shown by your connection is the approval basis.

How does Aperiodic mosaic art differ from writing a prompt or my own skill?

The package supplies a real nonperiodic tiling construction and coverage checks. Its geometry differs from repeated decorative motifs or photographs matched to a regular mosaic grid.