HYPER COMPLEX PROJECT

The Hyper Complex Project was started to examine a mathematical algorithm which generated LeClere's triangles via hypercomplex numbers. The algorithm was inspired by the simplicity of Pascal's triangle, in spite of demonstrating intrinsic complexity... Originally, the algorithm used to generate LeClere's triangles was applied to integers, however, remarkably a Sierpiński triangle was observed. This observation spurred on further development employing complex numbers and hypercomplex numbers. As higher-dimensional algebras were utilized, structures more complicated than Sierpiński triangle could be perceived, which bore unexpected asymmetries. It was at this point a coded was developed to generate the LeClere's triangles since manually plotting them was too time consuming. From the manually plotted and coded images, NFTs were generated so that LeClere's triangles could be placed into the public domain without condemning them to reside exclusively within academic journals... The..