Thinking·OS

Graph explorer

Explore the knowledge graph

Angle is part of Triangle. Activate to inspect this relation.Area measures Circle. Activate to inspect this relation.Area measures Polygon. Activate to inspect this relation.Circle depends on Pi. Activate to inspect this relation.Congruence is analogous to Similarity. Activate to inspect this relation.Congruence applies to Triangle. Activate to inspect this relation.Order of magnitude is a Scale. Activate to inspect this relation.Pythagorean theorem applies to Triangle. Activate to inspect this relation.Pythagorean theorem is a Theorem. Activate to inspect this relation.Ratio is part of Scale. Activate to inspect this relation.Surface-area-to-volume ratio constrains Metabolism. Activate to inspect this relation.Surface-area-to-volume ratio is a Ratio. Activate to inspect this relation.Scale applies to Climate. Activate to inspect this relation.Similarity depends on Ratio. Activate to inspect this relation.Sine and cosine is a Function. Activate to inspect this relation.Sine and cosine models Oscillation. Activate to inspect this relation.Symmetry applies to Circle. Activate to inspect this relation.Triangle is a Polygon. Activate to inspect this relation.Trigonometry applies to Triangle. Activate to inspect this relation.Trigonometry depends on Sine and cosine. Activate to inspect this relation.Volume is analogous to Area. Activate to inspect this relation.SimilarityRatioCongruenceSurface-area-to-volume ratioScaleTriangleMetabolismOrder of magnitudeClimatePolygonPythagorean theoremTrigonometryAngleAreaTheoremSine and cosineVolumeCircleOscillationFunctionPiSymmetry
Relationship types

24 concepts viewed through this lens. Bridge concepts connect this view to Algebra, Arithmetic, Atmospheric Science, Biochemistry….

Legend
  • Focused concept
  • Connected concept
  • Bridge concept (just outside the lens)
  • 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
22 concepts21 relationships23 disciplines6 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

What am I looking at?

In this lens (24)

  • Triangle5
    illuminated by this discipline
  • Area3
    illuminated by this discipline
  • Circle3
    illuminated by this discipline
  • Pi3
    illuminated by this discipline
  • Scale3
    illuminated by this discipline

Bridge concepts (12)

Just outside the lens — they connect it to other context.

  • Ratio3
    Arithmetic, Mathematics · connects to Scale, Similarity, Surface-area-to-volume ratio
  • Function2
    Algebra, Mathematics, Set Theory · connects to Cartesian coordinate system, Sine and cosine
  • Irrational number2
    Arithmetic, Mathematics · connects to Golden ratio, Pi
  • Climate1
    Atmospheric Science, Environmental Science, Geography, Meteorology, Physics · connects to Scale
  • Fibonacci sequence1
    Mathematics · connects to Golden ratio

Insights from this view

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

  • This view connects 23 disciplines: Algebra, Architecture, Arithmetic, Astronomy, Atmospheric Science, Biochemistry, Biology, Cell Biology, Design, Environmental Science, Geography, Geometry, Logic, Mathematics, Mechanics, Meteorology, Nutrition Science, Organic Chemistry, Physics, Physiology, Set Theory, Systems Biology, Visual Arts.
  • Similarity is a bridge concept — viewed here through Geometry, Mathematics.
  • The connections here span 6 relation families.
  • Scale explains 7 concepts in this view (Architecture, Arithmetic, Astronomy, Biology, Cell Biology, Design, Geography, Geometry, Mathematics, Physics, Visual Arts).

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.