Reusable cognitive primitives
Oscillation
A repeated back-and-forth movement around a central value. How often it repeats is its frequency; how far it swings is its amplitude.
Where it appears
Dependencies & synergies
Derived from the graph’s real structure — 25 concepts across 25 disciplines carry this pattern. Every figure is a count, not a score.
How many concepts carrying this pattern are seen through each discipline.
Other thinking patterns that recur on the same concepts — the more shared concepts, the more often they co-occur.
What kinds of relationships the carrying concepts form — the relational signature of the pattern.
Concepts where this pattern does the most cross-disciplinary work — each reaches disciplines beyond its own.
- CyclereachesChemistryClimatologyCognitive ScienceDesignEcologyEconomicsEducationEducational ScienceEnvironmental ScienceGeographyGeologyMachine LearningMathematicsMechanicsSustainability Science
- OscillationreachesAcousticsCivil EngineeringCognitive ScienceEarth & Space SciencesElectrical EngineeringElectroacousticsGeometryMathematicsMechanical EngineeringMusicMusicologyOceanographyOpticsSignal Processing
- RhythmreachesCognitive ScienceDanceDesignEducationEducational ScienceMachine LearningMathematicsMechanicsMusic TheoryPerforming ArtsPoetics
- WavereachesAstronomyBiologyElectromagnetismEngineeringEnvironmental EngineeringMechanicsMusicNutrition ScienceQuantum Physics
- SeasonalityreachesAtmospheric ScienceBiologyEarth & Space SciencesEnvironmental ScienceGeographyMeteorologyPhysics
- ResonancereachesAudio EngineeringBiologyMechanicsPhoneticsPsychoacoustics
Carrying concepts that others in the same pattern build on (they depend on or follow from these).
- Orbit — 2 other concepts build on it
- Oscillation — 1 other concept build on it
- Resonance — 1 other concept build on it
- Sine and cosine — 1 other concept build on it
Examples across disciplines
A plucked guitar string oscillates hundreds of times a second, and that rate sets the pitch we hear.
A pendulum swings back and forth at a steady rate set by its length.
Body clocks oscillate on a roughly 24-hour cycle, driving sleep and alertness.
How this pattern travels
Interpreted from where the pattern recurs in the atlas — structural transfer and coverage, not a claim it is universally the "best" model.
Recurs across 25 disciplines over 25 carrier concepts — a broadly transferable pattern.
structural · Structural recurrence in the atlas — a pattern is a reasoning lens, not a law.
9 of its 25 carrier concepts are themselves cross-disciplinary connectors.
structural · Structural recurrence in the atlas — a pattern is a reasoning lens, not a law.
Explicit "where it breaks" notes exist for 3 of 4 annotated assignments.
curated · Curated boundary annotations — absence is a representation gap, not evidence the model has no limits.
Currently dark in the atlas: no origin recorded · no assignment cites a source.
atlas representation · Describes the current Thinking OS representation, not the model itself.
Coverage matrix
How these concepts distribute across domains and concept families — real counts, not a score.
Knowledge timeline
Real, sourced key dates of these concepts.
- c. 150 BCETrigonometry · Formalization · Mathematics
- 1831Standing wave · Discovery · Physics
The statistical fingerprint
How the 25 concepts that exercise this pattern distribute — from the graph, not a ranking.
Disciplinary fingerprint
Carrier concepts under each illuminating lens.
How settled its carriers are
Epistemic status of the concepts that exercise this pattern.
Where the model breaks
This pattern is a reasoning lens, not a law. Here is where it stops helping:
- Fundamental frequency (mechanism): A clear fundamental assumes a near-harmonic, stable source; noisy, inharmonic or transient sounds have no single well-defined fundamental.
- Helmholtz resonance (mechanism): The lumped-element formula holds only when the cavity is small compared with the wavelength; at higher frequencies wave modes take over.
- Oscillator (mechanism): Simple harmonic behaviour assumes a linear restoring force and light damping; real oscillators are damped, driven and often amplitude-dependent (non-linear).
✕ That a bigger swing (amplitude) means a faster one (frequency); the two are independent.
You have seen this model in one place. Where else could it apply — and where would the analogy break?
Alternating current →Look for something that keeps returning to where it started: a swing, a heartbeat, a vibrating string.
- Recurs across 25 disciplines.
- 55 concepts exercise this thinking pattern.
- 3 of them explicitly note where the model breaks down.
Derived from the graph — a pattern is a reasoning lens, not a law.
Does the system keep overshooting past a central value instead of settling — and what sets how often and how far it swings?
Keep this question handy when you meet something new — it helps you notice the pattern, not just name it.