Stimulating, unique book explores the possibilities of mathematical drawing through compass constructions and computer graphics. Over 100 full-page drawings demonstrate possibilities: five-point egg, golden ratio, 17-gon, plughole vortex, blancmange curve, pentasnow, turtle geometry, many more. Exercises (with answers). "A wealth of intriguing and lovely ideas." — Information Technology & Learning.
The Divine Proportion by H. E. Huntley Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology, conic sections, Pascal's triangle, the Fibonnacci series, and much more. Excellent bridge between science and art. Features 58 figures.
Famous Problems of Geometry and How to Solve Them by Benjamin Bold Each chapter devoted to single type of problem, with commentary and practice problems. Amateur puzzlists and students of mathematics will enjoy this rare opportunity to match wits with civilization's great mathematicians.
Computers, Pattern, Chaos and Beauty by Clifford A. Pickover Fractals and chaos theory lead to startling graphics in this book by a renowned scientist, inventor, and artist, who coordinates information from disparate fields. Over 275 illustrations, 29 in color.
Geometry: A Comprehensive Course by Dan Pedoe Introduction to vector algebra in the plane; circles and coaxal systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise by Manfred Schroeder A fascinating exploration of the connections between chaos theory, physics, biology, and mathematics, this book abounds in award-winning computer graphics, optical illusions, and games that clarify memorable insights into self-similarity. 1992 edition.
Flatland: A Romance of Many Dimensions by Edwin A. Abbott Classic of science (and mathematical) fiction — charmingly illustrated by the author — describes the adventures of A. Square, a resident of Flatland, in Spaceland (three dimensions), Lineland (one dimension), and Pointland (no dimensions).