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