ISBN: 9798190389135 - a theory of geometric shape transformations and addition: principles of expansion, contraction, and nested progressions (1 Ergebnisse)

Taschenbuch. Zustand: Neu. Neuware - This Elektronisches Buch addresses how geometric measures- area, perimeter, and volume-change under iterative transformations defined by exponential scaling laws. It introduces the concept of a transformation order, and shows how that different geometric measures of the same shape follow distinct scaling factors, even under identical transformations. In addition, the Elektronisches Buch introduces a novel modification to the arithmetic progression model for shape addition. A corrected summation formula is proposed to account for overlaps in geometric arrangements, yielding accurate counts of composite shapes.…