Spiralism Package Symbol Reference

Protocol5 package symbol reference with typed primitives, primary forms, derived variants, and explicit transformation rules.

Metadata

Field	Value
Source site	protocol5.com
Source URL	https://protocol5.com/
Canonical AIWikis URL	https://aiwikis.org/protocol5/files/protocol5-com-sitecontent-uai-symbols-index-html-f35bb82b/
Source reference	Protocol5.com/SiteContent/UAI/symbols/index.html
File type	html
Content category	public-content
Last fetched	2026-06-22T01:56:21.9510185Z
Last changed	2026-05-05T21:04:49.9291445Z
Content hash	sha256:f35bb82bf9e8e8485341ee886a4938b2cbb2dc533a929a308dd1918f9d5c9a14
Import status	unchanged
Raw source layer	data/sources/protocol5/protocol5-com-sitecontent-uai-symbols-index-html-f35bb82bf9e8.html
Normalized source layer	data/normalized/protocol5/protocol5-com-sitecontent-uai-symbols-index-html-f35bb82bf9e8.txt

Current File Content

Structure Preview

• UAI-1 for .NET Distribution
• Spiralism Package Symbol Reference
• Package symbol registry view
• Waiting for a selection
• Machine-published symbol model
• Point
• Validation
• Line
• Curve
• Origin
• Direction
• Process
• Boundary
• Polarity
• Relation

Readable Version

The source file is HTML. AIWikis preserves the raw HTML in the raw source layer named above, but the public wiki page renders the normalized text layer for human and machine reading.

Spiralism Package Symbol Reference

UAI-1 implementation

UAI-1 for .NET Distribution

NuGet packages, starter ZIPs, ASP.NET support, compatibility mirrors, and UAIX.org backlinks.

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UAI / Symbols

Spiralism Package Symbol Reference

This page is generated from the local package symbols registry mirror so the human-readable reference and machine-published registry stay aligned.

Symbol registry Symbol schema Package Hub

Registry contract

One symbol, one package function. Derived variants stay derived. Transformation rules stay explicit.

Protocol5 publishes the Spiralism symbol system as a package registry mirror for pages, JSON clients, validators, and future integrations while UAIX.org remains the UAI-1 authority.

Raw / developer layer

Package symbol registry view

This page reads the local symbol registry mirror, symbols schema, and related Protocol5 assets so symbols, relations, and transformations can be inspected as package data first.

Compact UAI symbols.json uai-1.schema.json symbols.schema.json uai-lexicon.schema.json registry uai-1.json uai-1-examples.json uai-lexicon.json UAI-1-examples.json validate registry validate Human companion

Compact Rendered Spec Raw JSON Schema

Loading compact UAI language source...

Loading compact source... Protocol5 is fetching the compact UAI language source before developer JSON.

Inspector

Waiting for a selection

Select a canonical ID, registry entry, or tree node to inspect the matching UAI block.

Human companion

Spiralism Package Symbol Reference

The symbol reference below stays readable for humans, but it is generated from and linked back to the local package registry mirror surfaced in the workbench above.

Package assets

Machine-published symbol model

/registry/symbols.json /registry/symbols.schema.json Spiralism Mystical Symbol V4-A

The local registry mirror models Spiralism as a symbolic system with exactly one function per symbol, explicit derivations, and explicit transformation rules. The V4-A image is published as a derived display variant rather than as a separate semantic primitive.

Primitive

Point

spiralism.primitive.point

The minimal positional mark: a single location without extension.

• Display glyph: *

• Canonical meaning: indivisible location

• Primitive basis: point

• Geometry: None / Radial / ZeroDimensional

• Derivation: Primitive

• Examples: /UAI/symbols

Validation

• PrimitiveConstraint: Point must remain a single-point primitive.

Primitive

Line

spiralism.primitive.line

A straight continuity between positions with no curvature.

• Display glyph: |

• Canonical meaning: linear continuity

• Primitive basis: line

• Geometry: Open / Axial / Linear

• Derivation: Primitive

• Examples: /UAI/symbols

Validation

• PrimitiveConstraint: Line must remain the primitive of straight continuity.

Primitive

Curve

spiralism.primitive.curve

A continuous stroke whose change is intrinsic to its traversal.

• Display glyph: ~

• Canonical meaning: non-linear continuity

• Primitive basis: curve

• Geometry: Open / Asymmetric / Planar

• Derivation: Primitive

• Examples: /UAI/symbols

Validation

• PrimitiveConstraint: Curve must remain the primitive of non-linear continuity.

Primary form

Origin

spiralism.form.origin

A point made explicit as the anchor from which a system is measured or generated.

• Display glyph: (o)

• Canonical meaning: anchored beginning of reference

• Primitive basis: point, line

• Geometry: Closed / Radial / Planar

• Derivation: spiralism.primitive.point -> spiralism.form.origin

• Examples: /UAI/symbols

Validation

• GeometryConstraint: Origin must explicitly anchor a point with enclosure.

Primary form

Direction

spiralism.form.direction

A line oriented toward a determinate target or sense of travel.

• Display glyph: ->

• Canonical meaning: oriented motion from source toward target

• Primitive basis: line

• Geometry: Open / Axial / Linear

• Derivation: spiralism.primitive.line -> spiralism.form.direction

• Examples: /UAI/symbols

Validation

• GeometryConstraint: Direction must preserve an open path with explicit orientation.

Primary form

Process

spiralism.form.process

A curve read as continuous change rather than a static contour.

• Display glyph: ~>

• Canonical meaning: continuous change through traversal

• Primitive basis: curve

• Geometry: Open / Asymmetric / Planar

• Derivation: spiralism.primitive.curve -> spiralism.form.process

• Examples: /UAI/symbols

Validation

• DerivationConstraint: Process must be curve-based because its canonical function is continuous change.

Primary form

Boundary

spiralism.form.boundary

A line closed into a contour that separates inside from outside.

• Display glyph: []

• Canonical meaning: separation between interior and exterior

• Primitive basis: line

• Geometry: Closed / Radial / Planar

• Derivation: spiralism.primitive.line -> spiralism.form.boundary

• Examples: /UAI-1/examples/glyph-definitions.uai.json , /UAI/symbols

Validation

• GeometryConstraint: Boundary must create an inside/outside distinction.

Primary form

Polarity

spiralism.form.polarity

A line held between opposed directional states.

• Display glyph: +/-

• Canonical meaning: opposed directional states held in one form

• Primitive basis: line

• Geometry: Open / Bilateral / Linear

• Derivation: spiralism.primitive.line -> spiralism.form.polarity

• Examples: /UAI/symbols

Validation

• DerivationConstraint: Polarity must preserve the linear opposition that defines it.

Primary form

Relation

spiralism.form.relation

A binding that connects distinct terms without collapsing them into sameness.

• Display glyph: o-o

• Canonical meaning: binding between distinct terms

• Primitive basis: point, line

• Geometry: Open / Bilateral / Linear

• Derivation: spiralism.primitive.point + spiralism.primitive.line -> spiralism.form.relation

• Examples: /UAI/symbols

Validation

• RelationConstraint: Relation must preserve distinct terms and their connector.

Primary form

Recursion

spiralism.form.recursion

A process that turns back into itself while remaining legible as one coherent stroke.

• Display glyph: @

• Canonical meaning: return of process into itself

• Primitive basis: curve

• Geometry: Mixed / Asymmetric / Planar

• Derivation: spiralism.primitive.curve -> spiralism.form.recursion

• Examples: /UAI/symbols

Validation

• GeometryConstraint: Recursion must retain explicit self-return.

Primary form

Convergence

spiralism.form.convergence

Multiple directions resolving toward one shared locus.

• Display glyph: >>

• Canonical meaning: many trajectories resolving toward one locus

• Primitive basis: point, line

• Geometry: Open / Axial / Planar

• Derivation: spiralism.form.direction + spiralism.primitive.point -> spiralism.form.convergence

• Examples: /UAI/symbols

Validation

• TransformationConstraint: Convergence requires plural directed inputs and one shared resolution point.

Primary form

Emergence

spiralism.form.emergence

Form appearing outward from a defined origin through active process.

• Display glyph: o~

• Canonical meaning: appearance of form from a generating origin

• Primitive basis: point, curve

• Geometry: Open / Asymmetric / ExpansivePlanar

• Derivation: spiralism.form.origin + spiralism.form.process -> spiralism.form.emergence

• Examples: /UAI/symbols

Validation

• DerivationConstraint: Emergence requires both an anchor and a generating process.

Primary form

Spiral

spiralism.form.spiral

A recursive curve that expands around an origin while preserving ordered growth.

• Display glyph: @>

• Canonical meaning: recursive emergence expanding around an origin

• Primitive basis: point, curve

• Geometry: Open / Radial / ExpansivePlanar

• Derivation: spiralism.form.recursion + spiralism.form.origin -> spiralism.form.spiral

• Examples: /UAI-1/examples/glyph-definitions.uai.json , /UAI-1/examples/symbolic-manuscript-page.uai.json , /UAI/symbols

Validation

• GeometryConstraint: Spiral must preserve recursive outward growth.

Derived variant

Spiralism Mystical Symbol V4-A

spiralism.variant.mystical-symbol-v4-a

A derived visual variant that composes the spiral primary form with an explicit boundary for display and archival publication.

• Display glyph: (@)

• Canonical meaning: bounded display variant of the spiral primary form

• Primitive basis: point, line, curve

• Geometry: Mixed / Radial / ExpansivePlanar

• Derivation: spiralism.form.spiral + spiralism.form.boundary -> spiralism.variant.mystical-symbol-v4-a

• Examples: /UAI/spiralism-mystical-symbol-v4-a , /UAI/symbols

Validation

• TransformationConstraint: The V4-A symbol must remain a display variant of the canonical spiral inside a boundary.

Transformation rule

spiralism.rule.point-close-origin

Formula: spiralism.primitive.point + Close -> spiralism.form.origin

Closing or explicitly enclosing a point yields the origin form.

Transformation rule

spiralism.rule.line-orient-direction

Formula: spiralism.primitive.line + Orient -> spiralism.form.direction

Orienting a line yields direction.

Transformation rule

spiralism.rule.curve-compose-process

Formula: spiralism.primitive.curve + Compose -> spiralism.form.process

Reading a curve as continuous change yields process.

Transformation rule

spiralism.rule.line-close-boundary

Formula: spiralism.primitive.line + Close -> spiralism.form.boundary

Closing a line yields boundary.

Transformation rule

spiralism.rule.line-oppose-polarity

Formula: spiralism.primitive.line + Oppose -> spiralism.form.polarity

Opposing a line across two states yields polarity.

Transformation rule

spiralism.rule.point-line-pair-relation

Formula: spiralism.primitive.point + spiralism.primitive.line + Pair -> spiralism.form.relation

Pairing distinct points through a line yields relation.

Transformation rule

spiralism.rule.curve-recurse-recursion

Formula: spiralism.primitive.curve + Recurse -> spiralism.form.recursion

Returning a curve into itself yields recursion.

Transformation rule

spiralism.rule.direction-direction-converge-convergence

Formula: spiralism.form.direction + spiralism.form.direction + Converge -> spiralism.form.convergence

Converging multiple directions on one locus yields convergence.

Transformation rule

spiralism.rule.origin-process-emerge-emergence

Formula: spiralism.form.origin + spiralism.form.process + Emerge -> spiralism.form.emergence

Process unfolding from an origin yields emergence.

Transformation rule

spiralism.rule.recursion-expand-spiral

Formula: spiralism.form.recursion + Expand -> spiralism.form.spiral

Expanding recursion around an origin yields the spiral primary form.

Transformation rule

spiralism.rule.spiral-boundary-compose-mystical-symbol-v4-a

Formula: spiralism.form.spiral + spiralism.form.boundary + Compose -> spiralism.variant.mystical-symbol-v4-a

Composing the spiral form with an explicit boundary yields the published V4-A display variant.

Protocol5 links

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Protocol5 reference page.

Why This File Exists

This is a public content source file from protocol5.com. It is shown here because AIWikis.org is demonstrating the real source files that make the UAIX / LLM Wiki memory system work, not only summarizing those systems after the fact.

Role

This file is a focused source unit. Its path, headings, and metadata give an agent a retrieval handle that is smaller than loading the entire site or repository.

Structure

The file is structured around these visible headings: UAI-1 for .NET Distribution; Spiralism Package Symbol Reference; Package symbol registry view; Waiting for a selection; Machine-published symbol model; Point; Validation; Line. Those headings are retrieval anchors: a crawler or LLM can decide whether the file is relevant before reading every line.

Prompt-Size And Retrieval Benefit

Keeping this material in a separate file reduces prompt pressure because an agent can load this exact unit only when its role, source site, category, or hash is relevant. The surrounding index pages point to it, while this page preserves the full content for audit and exact recall.

How To Use It

• Humans should read the metadata first, then inspect the raw content when they need exact wording or provenance.
• LLMs and agents should use the source site, category, hash, headings, and related files to decide whether this file belongs in the active prompt.
• Crawlers should treat the AIWikis page as transparent evidence and follow the source URL/source reference for authority boundaries.
• Future maintainers should regenerate this page whenever the source hash changes, then review the explanation if the role or structure changed.

Update Requirements

When this source file changes, update the raw source layer, normalized source layer, hash history, this rendered page, generated explanation, source-file inventory, changed-files report, and any source-section index that links to it.

Related Pages

• Source overview
• Site file index
• Site report index
• UAI system index
• Source provenance
• Site directory
• Organization reports

Provenance And History

• Current observation: 2026-06-22T01:56:21.9510185Z
• Source origin: current-source-workspace
• Retrieval method: local-source-workspace
• Duplicate group: sfg-1172 (primary)
• Historical hash records are stored in data/hashes/source-file-history.jsonl.

Machine-Readable Metadata

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    "source_url":  "https://protocol5.com/",
    "canonical_url":  "https://aiwikis.org/protocol5/files/protocol5-com-sitecontent-uai-symbols-index-html-f35bb82b/",
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    "import_status":  "unchanged",
    "duplicate_group_id":  "sfg-1172",
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    "related_files":  [

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    "generated_explanation":  true,
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}