# 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.