A smiling face is drawn as a simple orange circle with two black eyes and a black arc for the mouth, all rendered as SVG shapes. The visualization is built with React, which creates the SVG elements, and uses the `d3.arc` function to generate the path data for the smile. The code constructs the face by positioning the eyes relative to the center and uses the D3 arc generator to define the mouth’s curved shape. The rendering is purely vector-based, with no external data source.