A Theory of Geometric Shape Transformations and Addition: Principles of Expansion, Contraction, and Nested Progressions

By Chimobi McDonald Ejike

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.

• Format: Paperback
• Language: English
• ISBN: B0HCX67D8F
• ISBN13: 9798190389135
• Release Date: August 2026
• Publisher: Independently Published
• Length: 30 Pages
• Weight: 0.12 lbs.
• Dimensions: 0.1" x 6.0" x 9.0"