Data and Code for: Filipino Alpha Magic Squares from Affine Transformations of 5×5 De la Loubère Magic Squares
Description
This repository contains the data, source code, and supplementary materials supporting the study:
Filipino Alpha Magic Squares from Affine Transformations of 5×5 De la Loubère Magic Squares
The study investigates the existence and classification of Filipino Alpha Magic Squares generated from affine transformations of verified 5×5 De la Loubère (Siamese) magic squares. An exhaustive computational search was conducted by generating all twenty-five De la Loubère realizations, identifying the verified magic squares, applying all admissible affine transformations whose entries remain within the interval 1–200, and transforming each entry into the corresponding Filipino letter count.
The repository includes:
- Filipino number-name and letter-count data for integers 1–200;
- Complete computational results;
- Reproducible R code;
- Heat map visualization of solution distributions.
The search examined 3,540 affine-transformed squares and identified exactly twenty Filipino Alpha Magic Squares generated by four affine transformations: T(2,18), T(2,19), T(2,118), and T(2,119). The repository enables full reproduction of all results, tables, and figures reported in the manuscript.
Keywords: magic squares, alphamagic squares, De la Loubère method, Siamese magic squares, affine transformations, Filipino number names, combinatorics, recreational mathematics, computational mathematics, reproducible research.
