by Kiran Desai
First published 2013
Kiran Desai presents systematic methods for organizing numbers within two-dimensional matrices of varying geometric shapes. The work begins with arrangements derived from least common multiples, where each color group maintains equal total values across all cells. Desai demonstrates how Cartesian products can transform linear number series into matrix representations of complex equations. The book progresses through constructions targeting specific sums like n³ and n⁴, employing rectangular, square, hexagonal, pentagonal, and triangular formats. Computer-generated examples reveal intricate patterns within square matrices at different organizational levels. Advanced sections cover arrangements built from factorials, exponentials, permutations, combinations, and Pascal's triangle principles. Desai provides a systematic approach for creating matrix representations from any given number. Three-dimensional topographical visualizations accompany many arrangements, enabling direct comparison between different organizational schemes for identical functions. The author establishes that precise multi-variable equations can define each matrix position, creating exact mathematical representations of two-dimensional number placements. This technical exploration targets readers with strong mathematical backgrounds and research interests rather than general audiences.
Genres: art, reference, non-fiction, mathematics, academic, algorithms
Vibes: systematic, technical, thought-provoking
Tropes: academic, technical
100 pages · Paperback · CreateSpace Independent Publishing Platform