This is the classic book of detailed instructions for making a wide variety of mathematical models of all kinds Complete nets are given for all regular Archimedean and stellated polyhedra together with a number of interesting compounds. There are sections on paper folding, dissections, curve stitching, linkages, the drawing of loci and envelopes and the construction of plane tessellations. The volume is fully illustrated with diagrams and photographs of models in paper and other materials and all have been successfully made and tested. First in the Tarquin Reprint series
Author(s): Henry Martyn Cundy
Edition: 2
Publisher: Oxford University Press, USA
Year: 1961
Language: English
Pages: 291
Cover
Title Page
Copyright Page
PREFACE TO THE SECOND EDITION
PREFACE TO THE FIRST EDITION
Table of Contents
LIST OF PLATES
Chapter I. THE USE AND CONSTRUCTION OF MODELS
1.1. What is a Model ?
1.2. The Use of Models
1.3. Materials for Models
1.3.1. Material suitable for flat sheets
1.3.2. Adhesives
1.3.3. Tools, etc
1.3.4. Pegboard
1.3.5. Miscellaneous
Chapter II. MODELS IN PLANE GEOMETRY
2.1. Dissections
2.1.1. Area dissections.
2.1.2. Area of a triangle.
2.1.3. Area of a trapezium.
2.1.4. Theorem of Pythagoras.
2.1.5. General dissection.
2.1.6. Puzzle dissections.
2.1.7. Similar figures.
2.1.8. Pentominoes.
2.2. The Circle
2.3. Circular Functions
2.4. Loci and Envelopes
2.4.1. Simple loci.
2.4.2. Loci using apparatus.
2.4.3. The Cartesian ovals.
2.4.4. Envelopes.
2.4.5. Circular envelopes.
2.5. Curve-stitching
2.6. Roulettes and Involutes
2.6.1. Roulette
2.6.4. Involutes.
2.6.5. The tractrix.
2.6.6. Involute gears.
2.7. Paper-folding
2.8. Knots
2.9. Plane Tessellations
2.10. Curves as Limits of Polygonal Sequences
2.11. Golden Section
2.12. Some Miscellaneous Curves and Figures
Chapter III. POLYHEDRA
3.1. Introduction
3.2. Duality
3.3. Materials and Construction
3.4. Colouring Polyhedra
3.5. The Five Regular Platonic Polyhedra
3.6. The Kepler-Poinsot Polyhedra
3.7. The Archimedean Polyhedra
3.8. Dual Solids
3.9. Stellated Archimedean Polyhedra
3.10. Regular Compounds
3.11. Deltahedra
3.12. Unitary Construction
3.13. The Stellations of the Rhombic Dodecahedron
3.14. Plaiting
3.15. Miscellaneous
Chapter IV. OTHER MODELS IN SOLID GEOMETRY
4.1. Wire Models
4.2. Wooden Models
4.3. Quadric Surfaces
4.4. Ruled Surfaces
4.5. Mobius Strips
4.6. One-sided Surfaces and the Klein Bottle
4.7. Sphere-packs
4.8. Methods of Modelling Surfaces
4.9. Puzzles
Chapter V. MECHANICAL MODELS
5.1. Models in Mechanics
5.2. Models in Statistics
5.3. Plane Linkages
5.4. Linkages in Three Dimensions
5.5. Machines for Drawing Curves
Chapter VI. MODELS FOR LOGIC AND COMPUTING
6.1. Logical Devices
6.2. Punched Cards
6.3. Electric Circuits
6.4. Binary Addition
6.5. Analogue Computers
6.6. Conclusion
BIBLIOGRAPHY
