Turing Patterns — How Uniform Tissues Become Striped
Alan Turing showed that two chemicals diffusing at different rates can turn a uniform field into stripes, spots, or hexagons. The mechanism explains real biological patterns.
Category
Mathematics
6articles followthis line of inquiry.
Articles in Mathematics
Markov Chains — What Memorylessness Assumes and Loses
Markov chains model systems where only the present state determines what comes next. The assumption is powerful, but it discards history that sometimes matters.
Power Laws — What the Same Exponent Explains and Conceals
The same mathematical form appears in metabolism, social groups, and AI models. Shared exponents do not mean shared mechanisms.
Simpson's Paradox — When Trends Reverse
A trend in aggregated data can reverse when the same data is split into groups. Simpson's paradox reveals why combining numbers without context misleads.
Arrow's Impossibility Theorem — What No Voting System Can Satisfy
Kenneth Arrow proved that no ranked voting system can satisfy four basic fairness conditions. The result reshaped how we think about collective decision-making.
Deterministic Chaos — What the Lorenz Attractor Reveals About Predictability
Edward Lorenz discovered in 1961 that simple equations can produce unpredictable behavior that looks random without being random at all.