Montroll Origami Polyhedra Design

Erscheinungsjahr 2011
ISBN: 978-1-4398-7106-5
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 302 Seiten

This book unravels the mystery of Geometry in Origami with a unique approach: 64 Polyhedra designs, each made from a single square sheet of paper, no cuts, no glue; each polyhedron the largest possible from the starting size of square and each having an ingenious locking mechanism to hold its shape. The author covers the five Platonic solids (cube, tetrahedron, octahedron, icosahedron and dodecahedron). There are ample variations with different color patterns and sunken sides. Dipyramids and Dimpled Dipyramids, unexplored before this in Origami, are also covered. There are a total of 64 models in the book. All the designs have an interesting look and a pleasing folding sequence and are based on unique mathematical equations.

Autoren/Hrsg.

Montroll , John

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie

Inhaltsverzeichnis

Part I: Designing Origami Polyhedra
Polyhedra Overview
Design Factors and Techniques
Math and Design
Design Method Examples
Polygons
Equilateral Triangle
Pentagon
Hexagon
Heptagon
Octagon
Silver Rectangle
Bronze Rectangle
Golden Rectangle
Part II: Platonic and Related Polyhedra
Tetrahedron Design
Tetrahedron
Duo-Colored Tetrahedron
Striped Tetrahedron
Tetrahedron of Triangles
Stellated Tetrahedron
Dimpled Truncated Tetrahedron
Cube Design
Cube
Striped Cube
Triangles on Cube
Cube with Squares
Stellated Octahedron
Cubehemioctahedron
Dimpled Rhombicuboctahedron
Stacked Cubes
Octahedron Design
Octahedron
Striped Octahedron
Duo-Colored Octahedron
Stellated Cube
Octahemioctahedron
Dimpled Truncated Octahedron
More Platonic Solids Design
Icosahedron
Dodecahedron
Sunken Platonic Solids Design
Sunken Octahedron
Sunken Tetrahedron
Sunken Cube
Sunken Dodecahedron
Sunken Icosahedron
Part III: Dipyramids and Dimpled Dipyramids
Dipyramid Design
Triangular Dipyramid 90°
Triangular Dipyramid
Triangular Dipyramid in a Sphere
Tall Triangular Dipyramid
Tall Square Dipyramid
Silver Square Dipyramid
Squat Silver Square Diamond
Pentagonal Dipyramid
Pentagonal Dipyramid 45°
Pentagonal Dipyramid in a Sphere
Golden Pentagonal Dipyramid
Squat Golden Pentagonal Dipyramid
Hexagonal Dipyramid
Silver Hexagonal Dipyramid
Hexagonal Dipyramid 36°
Hexagonal Dipyramid in a Sphere
Squat Silver Hexagonal Dipyramid
Heptagonal Dipyramid
Heptagonal Dipyramid 30°
Heptagonal Dipyramid in a Sphere
Octagonal Dipyramid
Octagonal Dipyramid 26°
Octagonal Dipyramid in a Sphere
Nonagonal Dipyramid
Decagonal Dipyramid
Dimpled Dipyramid Design
Tall Dimpled Square Dipyramid
Dimpled Silver Square Dipyramid
Heptahedron
Dimpled Squat Square Dipyramid
Tall Dimpled Hexagonal Dipyramid
Dimpled Silver Hexagonal Dipyramid
Dimpled Hexagonal Dypyramid
Dimpled Hexagonal Dipyramid in a Sphere
Octagonal Flying Saucer
Dimpled Octagonal Dipyramid in a Sphere
Dimpled Octagonal Dipyramid
Dimpled Silver Octagonal Dipyramid

Über Autor(innen)

John Montroll, St. Anselm’s Abbey School, Washington, D.C., USA