Title: Mathematical models,
Authors: Cundy, H. Martyn; Rollett, A. P.; Rollett, A. P.,
Publisher: Clarendon Press,
Year: 1961
Subjects: Mathematics Audio-visual aids.; Mathematics; Models, Structural
Abstract: The new and enlarged edition of this popular book gives detailed instructions for making a wide variety of models illustrating elementary mathematics. Nothing of value in the first edition has been omitted: dissections, paper-folding, curve-stitching, the drawing of loci and envelopes, the construction of plane tesselations, polyhedra, and ruled surfaces are all included. Complete plans and nets are given for all regular, Archimedean, and stellated polyhedra, together with compound solids of various kinds. The section of machines has been considerably enlarged, and now includes details of simple electric adding devices and analogue computers. There is also a completely new chapter on logical devices. Linkages and pendulum machines for drawing lines and curves are described, and the book is fully illustrated with diagrams and plates of models in paper and cardboard, wood and 'perspex' plastic. All the models have first been successfully made in school classes or for demonstration before being used as illustrations in this intriguing and very useful book. -- from dust jacket.
Contents: Chapter I. The use and construction of models -- What is a model? -- The use of models -- Materials for models -- Chapter II. Models in plane geometry -- Dissections -- The circle -- Circular functions -- Loci and envelopes -- Curve-stitching -- Roulettes and involutes -- Paper-folding -- Knots -- Plane tessellations -- Curves as limits of polygonal sequences -- Golden section -- Some miscellaneous curves and figures -- Chapter III. Polyhedra -- Introduction -- Duality -- Materials and construction -- Colouring polyhedra -- The five regular Platonic polyhedra -- The Kepler-Poinsot polyhedra -- The Archimedean polyhedra -- Dual solids -- Stellated Archimedean polyhedra -- Regular compounds -- Deltahedra -- Unitary construction -- The stellations of the rhombic dodecahedron -- Plaiting -- Miscellaneous -- Chapter IV. Other models in solid geometry -- Wire models -- Wooden models -- Quadric surfaces -- Ruled surfaces -- Möbius strips -- One-sided surfaces and the Klein bottle -- Sphere-packs -- Methods of modelling surfaces -- Puzzles -- Chapter V. Mechanical models -- Models in mechanics -- Models in statistics -- Plane linkages -- Linkages in three dimensions -- Machines for drawing curves -- Chapter VI. Models for logic and computing -- Logical devices -- Punched cards -- Electric circuits -- Binary addition -- Analogue computers -- Conclusion.