Thinking·OS

Graph explorer

Explore the knowledge graph

Absolute value applies to Real number. 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.Circumference depends on Pi. Activate to inspect this relation.Circumference is a Perimeter. Activate to inspect this relation.Cycle is a Pattern. Activate to inspect this relation.Fibonacci sequence is a Sequence. Activate to inspect this relation.Golden ratio emerges from Fibonacci sequence. Activate to inspect this relation.Golden ratio is a Irrational number. Activate to inspect this relation.Irrational number is a Real number. Activate to inspect this relation.Machine learning depends on Pattern. Activate to inspect this relation.Negative real number is a Real number. Activate to inspect this relation.Pi is a Irrational number. Activate to inspect this relation.Rational number is a Real number. Activate to inspect this relation.Real number is a Number. Activate to inspect this relation.Rhythm is a Pattern. Activate to inspect this relation.Sequence is a Pattern. Activate to inspect this relation.Symmetry is a Pattern. Activate to inspect this relation.Symmetry applies to Circle. Activate to inspect this relation.Triangle is a Polygon. Activate to inspect this relation.Volume is analogous to Area. Activate to inspect this relation.PiCircleIrrational numberCircumferenceAreaSymmetryReal numberGolden ratioPerimeterPolygonVolumePatternNumberRational numberNegative real numberAbsolute valueFibonacci sequenceTriangleCycleRhythmMachine learningSequence
Relationship types

172 concepts viewed through this lens. Bridge concepts connect this view to Acoustics, Actuarial Science, Agriculture, Algorithms….

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 concepts22 relationships22 disciplines6 relation families

At a glance

The number π is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter.

Disciplines
Mathematics · Geometry
Role in the graph
Connector
Relationships
3 · 2 relation families

What am I looking at?

In this lens (172)

Bridge concepts (186)

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

  • Rate of change5
    Calculus, Economics, Physics · connects to Differential equation, Integral, Limit…
  • Enumerative counting4
    Combinatorics · connects to Combination, Generating function, Permutation…
  • Graph data structure4
    Computer Science, Data Structures · connects to Connectivity, Edge, Shortest path…
  • Machine learning3
    Artificial Intelligence, Computer Science, Machine Learning, Statistics · connects to Algorithm, Pattern, Probability
  • Optimization3
    Business, Economics, Engineering, Mathematical Modelling, Optimization, Systems Engineering · connects to Inequality, Linear programming, Mathematical model

Insights from this view

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

  • This view connects 22 disciplines: Arithmetic, Artificial Intelligence, Bioinformatics, Biology, Cognitive Science, Computer Science, Data Structures, Design, Discrete Mathematics, Earth & Space Sciences, Education, Educational Science, Geometry, History, Machine Learning, Mathematics, Molecular Biology, Music, Musicology, Physics, Statistics, Visual Arts.
  • Pi is a bridge concept — viewed here through Geometry, Mathematics.
  • The connections here span 6 relation families.
  • Information explains 2 concepts in this view (Artificial Intelligence, Bioinformatics, Computer Science, Data Structures, Discrete Mathematics, History, Machine Learning, Mathematics, Molecular Biology, Statistics).

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.