Complexity, Visualized

The real world isn’t just static charts. It’s dynamic processes, weirdly shaped distributions, and messy networks.

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1. The Law of Large Numbers (Dynamic Dice)

If you roll two dice 10 times, anything can happen. If you roll them 2,000 times, order guarantees itself. The famous “triangle distribution” (peaking at 7) is inevitable.

Why 7? Because there are more ways to make 7 (1+6, 2+5, 3+4…) than any other number. The simulation proves it.

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2. Multimodal Data (Violin Plot)

Sometimes, an “Average” lies. Imagine looking at exam scores where half the class failed (score ~40) and half aced it (score ~90). The average is 65, but nobody got a 65.

A Violin Plot shows the shape. It would show two bumps (“bimodal”), telling the real story.

See the two bulges? That’s the “Split Class” phenomenon. A box plot would hide this detail.

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3. The Social Web (Network Graph)

Who influences whom? Graph Theory maps connections (Edges) between people (Nodes). This is how we track viral trends or disease outbreaks.

Insight: Node “Hub” is central. Removing it breaks the network apart. This is “Centrality” in action.