Reference and validation data for explicit area-fraction perimeter correlations of convex and concave superellipses

This record contains reference and validation data associated with the manuscript “High-accuracy explicit area-fraction correlations for the perimeter of convex and concave superellipses”. The dataset includes validation spreadsheets for convex and concave Lamé curves, benchmark cases against exact perimeter values, and the VBA user-defined functions used to compute reference perimeters and explicit area-fraction-based perimeter correlations. The files are intended to support reproducibility of the numerical validation and error statistics reported in the manuscript.