Thinking·OS

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Octave is a Harmonic ratio. Activate to inspect this relation.Harmonic ratio is derived from Frequency. Activate to inspect this relation.Tuning system is derived from Harmonic ratio. Activate to inspect this relation.Harmonic ratio is a Ratio. Activate to inspect this relation.Ratio is part of Scale. Activate to inspect this relation.Surface-area-to-volume ratio is a Ratio. Activate to inspect this relation.Percent is a Ratio. Activate to inspect this relation.Proportionality depends on Ratio. Activate to inspect this relation.Similarity depends on Ratio. Activate to inspect this relation.Perspective drawing is part of Painting. Activate to inspect this relation.Perspective drawing applies to Proportionality. Activate to inspect this relation.Form and volume is part of Sculpture. Activate to inspect this relation.Form and volume applies to Proportionality. Activate to inspect this relation.Sculpture is analogous to Painting. Activate to inspect this relation.ProportionalityRatioPerspective drawingForm and volumeHarmonic ratioSurface-area-to-volume ratioScalePercentSimilarityPaintingSculptureOctaveFrequencyTuning system
Relationship types
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  • Focused concept
  • Connected concept
  • Arrow points from cause / source to effect / target
  • A line with no arrow is a two-way relationship
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14 concepts14 relationships16 disciplines4 relation families

Proportionality

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At a glance

In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio.

Disciplines
Mathematics · Algebra
Role in the graph
Cross-disciplinary bridge — reaches Arithmetic, Painting, Sculpture, Visual Arts
Relationships
3 · 2 relation families
Mental models
1

Insights from this view

Structural observations about the concepts shown here — descriptions of this graph, not claims about the world.

  • This view connects 16 disciplines: Algebra, Architecture, Arithmetic, Astronomy, Biology, Cell Biology, Cultural Studies, Culture, Geography, Geometry, Mathematics, Music, Painting, Physics, Sculpture, Visual Arts.
  • Proportionality is a bridge concept — viewed here through Algebra, Mathematics.
  • The connections here span 4 relation families.
  • Scale explains 4 concepts in this view (Algebra, Architecture, Arithmetic, Astronomy, Biology, Cell Biology, Geography, Geometry, Mathematics, Physics).

Relationships as a list

The focused concept’s relationships. Pick another concept in the graph above to update this list.

Explore through a different lens

A lens is a deterministic projection of the graph. Pick a discipline, thinking pattern or journey to reframe the whole view.

By discipline

ChemistryBiologyPhysicsMathematicsComputer ScienceGeologyMineralogyEconomics

By thinking pattern

Bayesian updatingCause and effectCompoundingConservationConstraintsDefense in depthDiffusion & spreadEmergenceEnergy transformationEntropy & irreversibilityEquilibriumFeedback loopIncentivesInformationLevels & hierarchyModularityNetworksOptimizationOscillationProbabilityRecursion & self-similarityScaleSignal vs noiseSource–pathway–receptorStocks and flowsSymmetry & invarianceThresholds & tipping pointsTrade-offsTriangulationVariation & selectionWaves

By journey

From a Leaf to the ClimateWhy Music Moves UsHow Machines LearnReasoning about a Leaf and the Climate

Concept collections

Concept collections are curated lenses onto the fabric — themed sets of ideas that recur across disciplines. They are not journeys; they are a way to read the graph.

About this view

What this is

Start from one concept and expand outward. The view never shows everything at once — click a node to refocus, filter by relationship type, or switch to an accessible list.

One fabric

3750 concepts and 5051 typed relations form one connected component — no isolated silo.

How to read it

Focus a concept, or apply a lens (discipline, mental model, journey) to see only the threads that matter.