Self-Similarity / Fractals
Power-law systems can preserve their lopsided shape across scale: zoom from world to country to city, and concentration may reappear rather than flatten out.
Shrink the map from the whole world to one country, then to one city—and the inequality may barely change shape. The cast is smaller, but the same steep head and long tail can appear again.
E1The pattern survives the zoom
This is self-similarity: different-sized slices of a system resemble the whole. In a power law distribution, reducing the population does not imply a more even distribution; the smaller group can still contain a few dominant members and many minor ones. Scale changes the quantities, while the relationship between the head and the tail remains recognisable—like a fractal whose structure reappears under magnification.
E1Where it shows up
World, country, city
The episode traces the same lopsided form through three nested levels: global, national, and urban. Each level can reproduce the larger system’s basic shape.
E1Resemblance is not identity
Self-similarity means the pattern can look broadly alike across levels, not that every city must reproduce its country exactly. Local rules and boundaries may alter the distribution; the model is a claim about recurring shape, not a licence to assume identical causes or proportions everywhere.
E1Re-rank at every scale
When someone explains a concentrated outcome at the national or global level, rebuild the same ranking for one smaller unit—a city, organisation, or sub-community. Check whether a steep head and long tail reappear before treating the aggregate pattern as a one-off.
E1Episodes that teach this
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Simple Maths Explains Why Rich Get Richer - Power Law - FutureIQ
· explained at 8:45
11,972 views
"the whole thing looks very similar at different levels... world, country, city etc. this might remind you of fractals, self-similar."