Mathematics of Gozinta Boxes
Dillan Agrawal, Selena Ge, Jate Greene, Tanya Khovanova, Dohun Kim, Rajarshi Mandal, Tanish Parida, Anirudh Pulugurtha, Gordon Redwine, Soham Samanta, and Albert Xu
TL;DR
This paper explores the geometric properties of Gozinta Boxes, generalizing their dimensions and establishing maximum counts in various dimensions, with detailed examples and discussions.
Contribution
It introduces a generalization of Gozinta Boxes to higher dimensions and determines their maximum counts in two and three dimensions.
Findings
Maximum number of Gozinta Boxes in three or more dimensions is 3.
Maximum number in two dimensions is 4.
Provides numerous examples illustrating properties of Gozinta Boxes.
Abstract
We study the geometric aspects of the magic trick called Gozinta Boxes. We generalize Gozinta Boxes to other dimensions, and we show that in three and higher dimensions, the maximum number of boxes is 3, and in two dimensions, the maximum is 4. We discuss other properties of Gozinta Boxes and provide a plethora of examples.
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