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Plan 5 treats the original eight worlds as historical origins, not mandatory top-level navigation.

ICUX-006 · source-visible field guide

Pattern &
Symmetry

Twenty-four natural and designed patterns become a working guide to reflection, rotation, translation, radial organization, spirals and repeat fields. Sources stay visible; ICU diagrams explain the geometry without pretending to be documentary evidence.

Evidence boundary. External sources establish the real pattern/object/organism context. The vector images on this page are original explanatory abstractions, except three already-reviewed BVU visualizations. A diagram can clarify a symmetry operation; it is not a photograph, scan, specimen, measurement or proof that the source has mathematically perfect symmetry.

Signature working experience

Put a symmetry lens over a real example.

Choose a case, reveal a geometric overlay, then rotate or reflect the interpretive visual. The text counterpart always names the current transform.

Symmetry / pattern class
Transformation
Scale
Source

Snow crystal

Interpretive visual for Snow crystal.
Visual unavailable. Source, classification and text explanation remain available.

An idealized six-armed explainer. Real snow crystals vary and can be imperfect.

Current transform: 0° rotation + no reflection.

24 curated cases

Pattern is broader than perfect symmetry.

Filter by origin or class. Some entries intentionally show repetition without exact symmetry, because recognizing that boundary is part of reading patterns accurately.

24 of 24 patterns shown.

Open source · NOAA NESDIS
Open source · Smithsonian Ocean
Open source · Smith College
Open source · Smith College
Open source · U.S. Geological Survey
Open source · Smithsonian's National Zoo
Open source · The Metropolitan Museum of Art
Open source · The Metropolitan Museum of Art

Motif tile builder

Repeat a motif without clipping the cell boundaries.

This is an original synthetic construction tool. It does not reproduce any historical textile, tile, artwork or source object.

Why the edges stay clean: every selectable tile size divides the 720 × 360 stage exactly, and motif geometry stays inside an inset radius within each complete cell.

Source integrity

What the field guide is claiming.

Source-visible

Every case links to an institution, museum, academic or already-reviewed ICU source that makes the real subject or designed object inspectable.

Interpretive vectors

ICU-generated diagrams isolate the geometry. They are labeled explanations, not documentary reproductions or claims of perfect mathematical regularity.

Reusable contract

The 24 records ship as structured data with stable motif IDs, symmetry type, transformation, scale, source ID and image-rights ID for future ICU reuse.