Exploration in Geometry: Exhibition and Polyhedral Workshop

Tamir Ashman - Star 2014

This exhibition introduces a variety of geometric paper-made polyhedra, each built of variations of a single building
unit. This building unit structure is one of eleven known net of the octahedron, and was named Octafold by Tamir
Ashman, developer of a magnetic geometric model, which is also an innovative pedagogical model for teaching
spatial geometry. Lying at the heart of this model is the Octafold (Figure 1), which allows for a rapid and intuitive
folding of complex polyhedral structure, without the need of formulas, angle computations, scissors, or even glue.
Nor does it require any prior knowledge in geometry.
The uniqueness of the Octafold is in its power to unify the folding and unfolding patterns of entire series of
polyhedra. This exhibition presents only five possible series of the Octafold, each characterized by a different type
of Octafold tessellation. Some of the structures presented in the exhibition are significant in the fields of molecular biology as well as classic
and modern architecture, while others have yet to receive their scientific name.
"It is really surprising how much enlightenment will come following the construction of the models rather than
preceding it, and once you begin making them you may find that your enthusiasm will grow", said Father Magnus J.
Wenninger with respect to polyhedron models in his book Polyhedra models. An experiential workshop 70
accompanies this exhibition embodying these words of Father Wenninger. During the workshop visitors may
explore, in pairs or small groups, this versatile and significant field of polyhedral structures. By using large folding
units, visitors will learn and experience the principles of the model and will structure a various polyhedra in a quick
and playful manner. This is a joyful experience, instilling in participants feelings of achievement and fulfillments
alongside increased curiosity.

tamir ashman

tamir ashman polyhedral exhibition

tamir ashman

The chain hellix connection

3d Colors model

Exploration in Geometry: Exhibition and Polyhedral Workshop

This exhibition introduces a variety of geometric paper-made polyhedra, each built of variations of a single building unit. This building unit is one of eleven known net of the octahedron, and was named Octafold by Tamir Ashman, developer of a magnetic geometric model, which is also an innovative pedagogical model for teaching spatial geometry. Lying at the heart of this model is the Octafold (Figure 1), which allows for a rapid and intuitive folding of complex polyhedral structure, without the need of formulas, angle computations, scissors, or even glue. Nor does it require any prior knowledge in geometry.
The uniqueness of the Octafold is in its power to unify the folding and unfolding patterns of entire series of polyhedra.Thisexhibition presents only five possible series of the Octafold, each characterized by a different type of Octafold tessellation

IMG_5452

Some of the structures presented in the exhibition are significant in the fields of molecular biology as well as classiandmodern architecture, while others have yet to receive their scientific name.

"It is really surprising how much enlightenment will come following the construction of the models rather than preceding it, and once you begin making them you may find that your enthusiasm will grow", said Father Magnus J. Wenninger with respect to polyhedron models in his book Polyhedra models. An experiential workshop accompanies this exhibition embodying these words of Father Wenninger. During the workshop visitors may explore, in pairs or small groups, this versatile and significant field of polyhedral structures. By using large folding units, visitors will learn and experience the principles of the model and will structure a various polyhedra in a quick and playful manner. This is a joyful experience, instilling in participants feelings of achievement and fulfillments alongside increased curiosity.

Exhibits Samples

Discovering the Octafold building unit

The Octafold was discovered through explorations of the stella octangula, also known as

מרכבה נפתחתמרכבה נפתחת 2מרכבה עם אוקטהדרון

מרכבה מנייר

The unified net for polyhedral srtuctures

להמשיך לקרוא

תמיר אשמן מציג את יחידות ה – octafold בליל המדענים 2014 – אוניברסיטת תל אביב

חגיגה של משחקי קיפול נייר בליל המדענים באוניברסיטת תל אביב. מאות ילדים קיפלו מבנים תלת מימדיים מורכבים מיחידות בניה דו ממדיות מנייר. לומדים גיאומטריה בצורה חוויתית וכיפית.

תמיר אשמן מרצה על המודל הגאומטרי שפיתח בליל המדענים 2014

תמיר אשמן מרצה על המודל הגאומטרי שפיתח בליל המדענים 2014

הרצאה של תמיר אשמן בליל המדענים

הרצאה של תמיר אשמן בליל המדענים

ילידים והורים לומדים גיאומטריה בצורה חוויתית

ילידים והורים לומדים גיאומטריה בצורה חוויתית

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