Compact circles arranges a grid of small, semi-transparent circles within a larger bounding circle, creating a compact, circular pattern with a soft, overlapping visual texture. The example uses React to render an SVG scene, computing a two-dimensional array of coordinates and filtering points based on distance from the center to keep them inside the outer radius. React’s declarative `map` functions generate the circle elements, while SVG attributes control size, position, and opacity. The code relies on React's `ReactDOM.render` and raw SVG components, with no external data source beyond programmatic coordinate generation.