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Teaching the Geometry of the Plane Using Origami. 2010 Singapore Math Challenge. Masashi Sanae & Stephen Elliff Ritsumeikan High School. Origami. ORIGAMICS. The Basic Drawing Method. ①perpendicular bisector. ②perpendicular to line segment through a point. ③angle bisector. - PowerPoint PPT Presentation
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Teaching the Geometry of the Plane Using Origami
Masashi Sanae & Stephen ElliffRitsumeikan High School
2010 Singapore Math Challenge
Origami
ORIGAMICS2
The Basic Drawing Method
①perpendicular bisector
③angle bisector
②perpendicular to line segment through a point
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Basic Folding
①perpendicular bisector
③angle bisector
②perpendicular to line segment through a point
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Incenter
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Circumcenter
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Centroid
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Excenter
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Application- All Sides Overlap
We can fold a polygon so that all sides overlap
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A Triangle
Incenter
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A Quadrilateral with One Open Side
Excenter11
A Quadrilateral with One Open Side
Excenter12
Circumscribed Polygon
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Polygon
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Polygon
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Geometry with Salt
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Reference
M.Sanae’S HomePage (Masashi Sanae)
http://izumi-math.jp/sanae/
Origami and Mathematics ( Konichi
Kato )
http://izumi-math.jp/K_Katou/origami/origami.htm
Thank you for listening.
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