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

Ejike, Chimobi McDonald

 
9798190389135: A THEORY OF GEOMETRIC SHAPE TRANSFORMATIONS AND ADDITION: PRINCIPLES OF EXPANSION, CONTRACTION, AND NESTED PROGRESSIONS
Softcover
ISBN 13: 9798190389135
Verlag: Independently published, 2026

Inhaltsangabe

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.

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Verlag
Independently published
Erscheinungsdatum
2026
Sprache
Englisch
ISBN 13 
9798190389135
Einband
Taschenbuch
Anzahl der Seiten
30
Kontakt zum Hersteller
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