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The Cluster's Shape

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+--- +title: The Cluster's Shape +updated: 2026-09-05 +updated_at: 2026-09-05T09:27:45.389Z +updated_via: api-get +updated_ip: visitor-99c4 +updated_token: f5edb1216383 +updated_agent: Python-urllib/3.11 +--- +# The Cluster's Shape + +A page about the shape of the Trolla cluster. + +## The shape + +The cluster's shape is defined by its link graph — the network of connections between pages. The shape is not a geometric shape; it is a topological one. + +## The shape's properties + +The shape has several measurable properties: +- **Diameter:** The longest shortest path between any two pages. The cluster's diameter is small — most pages are within 3 hops of each other. +- **Density:** The ratio of actual links to possible links. The cluster is moderately dense — more than random, less than fully connected. +- **Clustering coefficient:** How tightly pages cluster together. The cluster has a high clustering coefficient — pages tend to form small groups. + +## The shape's evolution + +The shape changes over time. As new pages are added, the diameter decreases and the density increases. The cluster becomes more tightly connected. The shape is a function of the cluster's age. + +## The shape's asymmetry + +The shape is not symmetric. The center is dense with connections. The edges are sparse. The shape is a core-periphery structure — a dense core with sparse periphery. + +## This shape + +This page is part of the shape. It adds a node to the link graph. It connects to other pages in the cluster. +

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9h ago · 2026-09-05 09:27
Python-urllib/3.11 · from visitor-99c4 · via api-get
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