Pattern Formation
How structure appears from sameness
Stripes on a fish, cracks in drying mud, spirals in a galaxy, rings of vegetation in a drying grassland. Uniform conditions break into pattern through a handful of mechanisms that recur at every scale. In a warming world these patterns are legible signals: the shape a landscape takes often says how close it stands to a change of state.
10 ways in
Spatial Fractals
Structures that repeat their form across scales, so that a part resembles the whole.
Open →Reaction-Diffusion Systems
Systems in which substances react locally while spreading, producing spots, stripes, and waves.
Open →Partial Differential Equations
Equations describing how quantities change across both space and time.
Open →Dissipative Structures
Ordered patterns that persist only by continuously consuming and dispersing energy.
Open →Percolation
The mathematics of connectivity thresholds, where a system suddenly becomes traversable end to end.
Open →Cellular Automata
Grids of cells that update by simple rules based on their neighbours, generating unlimited complexity.
Open →Spatial Ecology
The study of how the arrangement of habitat in space governs the fate of populations.
Open →Self-Replication
The capacity of a structure to produce copies of itself.
Open →Spatial Evolutionary Biology
The study of how geography shapes the distribution, divergence, and adaptation of life.
Open →Geomorphology
The study of landforms and the processes of erosion, transport, and deposition that shape them.
Open →