teaching the geometry of the plane using origami
Post on 23-Feb-2016
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1
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
5
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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