Solid with Equilateral Triangle Cross-Sections Perpendicular to x-Axis

This applet demonstrates a three-dimensional solid formed by erecting equilateral triangles on cross-sections perpendicular to the x-axis. As you move along the x-axis, each cross-section is an equilateral triangle whose side length is determined by the vertical distance between two functions f and g, creating a smooth, symmetric solid. The core mathematical concepts include the cross-section method for computing volumes in calculus, properties of equilateral triangles, and the connection between function graphs and solid geometry. Construction highlights: the GeoGebra commands Surface, Sequence, and CurveCartesian are used to generate the surface, a series of triangular cross-sections, and boundary curves, respectively. Objects such as f, g, A, B, a, list1, b, d, and e control parameters and dynamic updates. This is suitable for high school to university students learning calculus, solid geometry, or 3D modeling, providing an intuitive visualization of volume via cross-sections and spatial construction.