A smiling face is rendered as a collection of SVG shapes, with a mint-green head, white eyes with offset pupils, a red nose, and a white mouth created using a D3 arc. The entire composition is drawn within a React component and centered using an SVG group with a translation. The code relies on React for the component structure and D3's `arc` function to generate the mouth's path, while all other facial features are basic SVG circles and paths.