A geometric model and a new pedagogical tool for teaching geometry

This paper introduces a geometric model which I developed, known as the Octafold . The model comprises a two-dimensional geometric building unit made of eight equilateral triangles. This unit serves as both a game and a pedagogical model representing the geometric model, the essence of which is a unified net for polyhedral structures.

It took me some fourteen years to develop this model, and the full model is explained in an extensive paper which is currently under review in a high end academic outlet. The present paper introduces the pedagogical applications of the model in the field of teaching spatial geometry. It was accepted by the international conference of Bridges 2014, which took place in Seoul, Korea . The annual Bridges conference brings together mathematics, science, art, and architecture, and I had the privilege of facilitating Octafold workshops to conference participants and visitors, parents and children, in which they explored the model in an experiential manner.

To read the article press on this link:

http://archive.bridgesmathart.org/2014/bridges2014-485.pdf

You can learn more about the Bridges conference in which I participated here:

http://bridgesmathart.org/bridges-2014/

The story behind the discovery of the model is as fascinating as the model itself. I have no mathematical or scientific background. I have been trained as a social worker, my chosen profession throughout my adulthood. My journey into the realm of geometry began some fourteen years ago, having awakened from a dream in which appears a multi-dimensional geometric shape that I had not recognized. Its scientific name is the stella octangulla, and its spiritual name is the Merkaba. Since that dream and to this day, I have continuously explored the shape and its derivatives. The Octafold model was recently published as pedagogical paper-based game which serves as a practical teacher of folding theory. You can learn more about the Octafold model and paper-based folding unit as well as the Octafold workbook on the Octafold website, at:

http://www.octafold.com

Enjoy your reading,
Tamir Ashman

תמיר_אשמן_הקדמה_למאמר

Photos taken at the Octafold workshop at Bridges 2014 (Seoul, Korea) in which polyhedra structures were built from the Octafold paper-based folding unit.

 

 


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