Volume Invariant Cube Twisting GeoGebra Modeling and Algebraic Explorations

Abstract

If we take a cube and twist it 90 degrees, mentally or physically, without changing its volume, we obtain a twisted solid that is not only visually appealing but also algebraically entertaining. Starting with GeoGebra simulations, we discuss the algebraic nature of the twisted cube faces, the spiral curves, and further extend GeoGebra-based explorations beyond the cube.

Keywords: Cube, Twisting, Algebraic Analysis, Vector Functions, Ruled Surfaces