Thinking·OS

Graph explorer

Explore the knowledge graph

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.Congruence applies to Triangle. Activate to inspect this relation.Congruence is analogous to Similarity. Activate to inspect this relation.Similarity depends on Ratio. Activate to inspect this relation.Musical interval is derived from Harmonic ratio. Activate to inspect this relation.Just intonation is a Tuning system. Activate to inspect this relation.Just intonation is derived from Harmonic ratio. Activate to inspect this relation.SimilarityRatioCongruenceHarmonic ratioSurface-area-to-volume ratioScalePercentProportionalityTriangleOctaveFrequencyTuning systemMusical intervalJust intonation
Relationship types
Legend
  • Focused concept
  • Connected concept
  • Arrow points from cause / source to effect / target
  • A line with no arrow is a two-way relationship
  • Node colour marks the concept’s primary discipline
14 concepts14 relationships14 disciplines4 relation families

At a glance

In Euclidean geometry, two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other.

Disciplines
Mathematics · Geometry
Role in the graph
Connector
Relationships
2 · 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 14 disciplines: Algebra, Architecture, Arithmetic, Astronomy, Biology, Cell Biology, Cultural Studies, Culture, Geography, Geometry, Mathematics, Music, Music Theory, Physics.
  • Similarity is a bridge concept — viewed here through Geometry, 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.