Mathematical Origami - Second Edition

Geometrical Shapes by Paper Folding

Origami is the art of paper folding without the use of either scissors or glue. Each of the beautiful and fundamental mathematical shapes described in this book is achieved by folding sheets of standard A4 paper. It is remarkable what can been done and David Mitchell gives clear step by step instructions for each. He has gathered together a most impressive collection which will amaze and interest mathematics teachers and other admirers of pure geometrical forms. This second edition extends the models considerably - adding 60 new pages of activities.

The models have been divided into Convex and Planar Polyhedra and Rhombic Polyhedra - using modular origami to the maximum effect.  Full contents are:

Convex Polyhedra

• The Cube
• Off-Centre Stripe Cubes 
• The Regular Tetrahedron
• The Regular Octahedron
• The Regular Icosahedron
• The Diamond Hexahedron and the Equilateral Hexakaidecahedron 
• The Equilateral Dodecahedron 
• The Regular Dodecahedron 
• The Triacontahedron 

Planar

• The Planar Cube 
• The Planar Tetrahedron 
• Adding Planar Tetrahedra to the Planar Cube 
• The Planar Octahedron 
• The Planar Cuboctahedron 
• The Planar Icosidodecahedron
• The Planar Icosidodecahedron

Rhombic Polyhedra

• The Rhombic Dodecahedron 
• The Rhombic Tetrahedron 
• The Rhombic Hexahedron 
• The Rhombic Skew Cube 
• The Rhombic Octahedron
• The Reoriented Rhombic Octahedron 
• The Rhombic Pyramid 
• Assembly Puzzle Solutions 
• The Semi-Rhombic Pyramid
• The Semi-Rhombic Tetrahedron 
• The First Stellated Rhombic Dodecahedron 
• Other Convex Rhombic Polyhedra 
• Rolling Ring of Eight Rhombic Tetrahedra