Calc4D: A Mathematica package for interactive 4D visualization of limits, derivatives and integrals for mappings

Ipanaqué-Chero R.; Velezmoro-León R.; Correa-Erazo S.B.; Jiménez-Vilcherrez J.K.; Navarro-Garrido A.F. · SoftwareX (2026) · DOI: 10.1016/j.softx.2026.103059

Resumen

We present Calc4D, an open-source Mathematica package that provides interactive tools for the geometric visualization of limits, derivatives, and integrals for mappings of the form α:R→Rn, Φ:R2→R3, f:C→C, and α:C→C2. The package implements a novel isometric projection from R4 to R3 combined with SO(4) rotation matrices, enabling interactive exploration of 4-dimensional geometric objects through six independent rotation angles. Key commands include ComplexFunctionPlot , ComplexParametricFunctionPlot , SolidPlot3D , and SolidPlot4D , which extend Mathematica’s native plotting capabilities to handle mappings between complex and higher-dimensional spaces. Calc4D unifies the real and complex cases under a single visual framework, offering a valuable tool for both research and teaching in advanced calculus and complex analysis.

Instituciones: Universidad Nacional de Piura