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.Circumference depends on Pi. Activate to inspect this relation.Circumference is a Perimeter. Activate to inspect this relation.Congruence is analogous to Similarity. Activate to inspect this relation.Congruence applies to Triangle. Activate to inspect this relation.Cycle is a Pattern. 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.Pi is a Irrational number. 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.Rhythm 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.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.VolumeAreaPolygonCircleTrianglePiSymmetryPythagorean theoremTrigonometryAngleCongruenceIrrational numberCircumferencePatternTheoremSine and cosineSimilarityReal numberGolden ratioPerimeterCycleRhythm
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 concepts21 relationships15 disciplines5 relation families

At a glance

Volume is a measure of regions in three-dimensional space.

Disciplines
Mathematics · Geometry
Role in the graph
Leaf concept
Relationships
1 · 1 relation families
Mental models
1

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 15 disciplines: Arithmetic, Biology, Cognitive Science, Design, Earth & Space Sciences, Education, Educational Science, Geometry, Logic, Machine Learning, Mathematics, Music, Musicology, Physics, Visual Arts.
  • Volume is a bridge concept — viewed here through Geometry, Mathematics.
  • The connections here span 5 relation families.
  • Oscillation explains 5 concepts in this view (Biology, Earth & Space Sciences, Geometry, Mathematics, Music, Musicology, 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.