A React SVG visualization displays a single circle that follows the mouse cursor across a 960 by 500 canvas. The circle's center coordinates update in real time to match the pointer's clientX and clientY position, which are logged to the console. Using React's useState and useCallback hooks, the app renders a responsive circle with a 20-pixel radius. The visualization relies on React and ReactDOM for state management and SVG rendering, with no data source or external libraries beyond the React framework.