Thinking·OS

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Explore the knowledge graph

Algorithm is a Sequence. Activate to inspect this relation.Analogy depends on Pattern. Activate to inspect this relation.Cycle is a Pattern. Activate to inspect this relation.Data compression depends on Algorithm. Activate to inspect this relation.DNA is analogous to Algorithm. Activate to inspect this relation.DNA is a Sequence. Activate to inspect this relation.Fibonacci sequence depends on Recursion. 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.Greedy algorithm is a Algorithm. Activate to inspect this relation.Hierarchy is a Pattern. Activate to inspect this relation.Infinity applies to Sequence. Activate to inspect this relation.Machine learning depends on Pattern. Activate to inspect this relation.Machine learning is a Algorithm. Activate to inspect this relation.Motif emerges from Pattern. Activate to inspect this relation.Musical form emerges from Pattern. Activate to inspect this relation.Musical meter emerges from Pattern. Activate to inspect this relation.Recursion applies to Algorithm. Activate to inspect this relation.Rhythm is a Pattern. Activate to inspect this relation.Search algorithm is a Algorithm. Activate to inspect this relation.Sequence is a Pattern. Activate to inspect this relation.Sorting algorithm is a Algorithm. Activate to inspect this relation.Symmetry is a Pattern. Activate to inspect this relation.Fibonacci sequenceSequenceRecursionGolden ratioPatternAlgorithmDNAInfinityIrrational numberCycleRhythmSymmetryMachine learningHierarchyAnalogyMotifMusical formMusical meterGreedy algorithmSearch algorithmData compressionSorting algorithm
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 concepts24 relationships38 disciplines5 relation families

Fibonacci sequence

Open concept →

At a glance

In mathematics, the Fibonacci sequence is a sequence in which each element is the sum of the two elements that precede it.

Disciplines
Mathematics
Role in the graph
Cross-disciplinary bridge — reaches Bioinformatics, Computer Science, Data Structures, Discrete Mathematics, Geometry, History, Molecular Biology
Relationships
3 · 3 relation families
Mental models
2

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 38 disciplines: Algorithms, Arithmetic, Artificial Intelligence, Biochemistry, Bioinformatics, Biology, Cell Biology, Cognitive Science, Comparative Literature, Computer Science, Data Structures, Design, Discrete Mathematics, Earth & Space Sciences, Education, Educational Science, Evolutionary Biology, Genetics, Geometry, History, Information Theory, Linguistics, Literature, Logic, Machine Learning, Mathematics, Molecular Biology, Music, Music Theory, Musicology, Optimization, Philosophy, Physics, Software Engineering, Statistics, Systems Science, Theory of Computation, Visual Arts.
  • Algorithm is a bridge concept — viewed here through Algorithms, Computer Science, Discrete Mathematics, Logic, Mathematics, Software Engineering, Theory of Computation.
  • The connections here span 5 relation families.
  • Information explains 5 concepts in this view (Algorithms, Artificial Intelligence, Biochemistry, Bioinformatics, Cell Biology, Computer Science, Data Structures, Discrete Mathematics, Evolutionary Biology, Genetics, History, Information Theory, Logic, Machine Learning, Mathematics, Molecular Biology, Software Engineering, Statistics, Theory of Computation).

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.