Fixing 3D Objects on the Screen with Dynamic Coloring: Sliders and Buttons

This example demonstrates how to keep an object visually fixed in a 3D GeoGebra view while using sliders and buttons to drive parameter changes, producing dynamic updates such as color/display variation. The main mathematical ideas are 3D geometric construction, vector-based positioning, translation transformations (Translate), and parameterization along a path (PathParameter). Construction highlights: Vector, CornerThreeD, Segment, and Point are used to define the key 3D elements (points, edges, and corner references). PathParameter provides a parameter tied to a path for selecting/locating dependent points. Translate then moves or repositions structures consistently in 3D space as parameters change. Numerous objects (e.g., coordinate/size and color components like MMx, MMdim, MMv, MMy, MMcentro, O, v, and the color channels sr/sg/sb with pr/pg/pb, etc.) reflect the strategy of decomposing geometry and visual attributes into computable variables so that the interaction controls update the resulting visualization. Suitable for upper secondary to pre-university learners and for teaching dynamic geometry: parameter-driven 3D transformations plus visualization via linked coloring.