Among Us 3D Geometry Puzzle: Equilateral Triangles and Polynomial Functions

This GeoGebra example recreates the popular game character 'Among Us' as a 3D solid model, combining equilateral triangles, prisms, and polynomial function surfaces. It demonstrates how planar shapes like equilateral triangles can be extruded or revolved to form prisms, while polynomial functions define the curved contours that mimic the character's cartoonish silhouette. Core mathematical concepts include properties of equilateral triangles, volume and surface area of prisms, graphing and transformation of polynomial functions, and construction of points, segments, circles, and curves in 3D space. The construction uses basic GeoGebra commands such as Segment, Point, and Circle, with numerous labeled objects (A, B, C, D, etc.) and functions (f, g, h, etc.) to precisely position each geometric element. This example is suitable for high school or early college students, serving as an engaging introduction to solid geometry combined with function graphing, and can be used as a creative math modeling project or teaching aid to spark interest in the intersection of geometry and algebra.