The visualization demonstrates a "gooey effect," where multiple circles emerge from a central stationary circle and then fall back into it, creating a fluid, blob-like appearance during their transition. The effect is achieved using an SVG filter with `feGaussianBlur`, `feColorMatrix`, and `feComposite` applied to a container group. D3.js v3 handles the rendering and animation, using a force layout (`d3.layout.force`) to manage the movement of the circles, while their positions are updated on each tick. The data consists of a single object with random velocity values, and all circles are initially placed at the center.