NTE 161 Geometric Origami

Prof M. Akif Eyler

• Geometry: regular and semi-regular solids, plane-filling and space-filling shapes
• Art: shape, color, and pattern
• Origami skills: making the actual models by paper folding

Missing grades: Yalçın Altay Abdurrahman Avcı Aysel Pek Abdulhamit Varlı Grading 10xAssignments 60% Term Work 40% Grades Term Work Make an interesting polyhedron. It should be somewhat more complicated than the weekly assignments. Exhibition, Jun 2 Bring your Term Work, and other previous work if you want.

Weekly Outline Feb 25 Introduction: Angles and Polygons Basic shapes Mar 3 Regular (Platonic) Solids Skeletal Octahedron Mar 10 Tetrahedron, Octahedron Modular Octahedron Mar 17 Cube, Duality Cube, Tetrahedron in cube Mar 24 Rotational Symmetries Four or Six circles Mar 31 Icosahedron Modular Icosahedron Apr 7 Dodecahedron Skeletal Dodecahedron Apr 14 Semi-regular (Archimedean) Solids Cuboctahedron Apr 21 Duality revisited Rhombic Dodecahedron Apr 28 Stellations (Kepler Solids) Stellated Dodecahedron May 5 Poinsot Solids Great Dodecahedron May 12 Plane-Filling Shapes Tessellations May 26 Space-Filling Shapes Truncated Octahedron Jun 2 (Exhibition)

References

• Alan Holden, Shapes, Space, and Symmetry, 1991
• R. Gurkewitz, B. Arnstein, 3-D Geometric Origami: Modular Polyhedra, 1996
• D. Mitchell, Mathematical Origami: Geometrical Shapes by Paper Folding, 1997
• H.S.M. Coxeter, Regular Polytopes, 1973
• P. Hilton, J. Pedersen, Build Your Own Polyhedra, 1994
• M.C. Escher, M.C. Escher: The Graphic Work, 1996
• MathWorld
• Science U
• M C Escher
• Cut-the-knot