Articles liés à A THEORY OF GEOMETRIC SHAPE TRANSFORMATIONS AND ADDITION:...

A THEORY OF GEOMETRIC SHAPE TRANSFORMATIONS AND ADDITION: PRINCIPLES OF EXPANSION, CONTRACTION, AND NESTED PROGRESSIONS - Couverture souple

Ejike, Chimobi McDonald

 
9798190389135: A THEORY OF GEOMETRIC SHAPE TRANSFORMATIONS AND ADDITION: PRINCIPLES OF EXPANSION, CONTRACTION, AND NESTED PROGRESSIONS

Synopsis

This ebook 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 ebook 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.