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More copies of this ISBNOther titles in the Dover Art Instruction series:
The Elements of Dynamic Symmetryby Jay Hambidge
Synopses & ReviewsPublisher Comments:Is design intuitive or is it consciously and methodically worked out? Are there basic rules governing design that, when learned, will facilitate the creative process? These questions have been asked by artists, art historians, and art critics throughout the ages. Convinced that design was not purely instinctive, Jay Hambidge (18671924) spent much of his life searching for the technical bases of design. He found his answer in dynamic symmetry, one of the most provocative and stimulating theories in art history. Hambidge's study of Greek art convinced him that the secret of the beauty of Greek design was in the conscious use of dynamic symmetry—the law of natural design based upon the symmetry of growth in man and in plants. But Hambidge, who was not only a theoretician but also a practicing artist, did much more than analyze classical art and its principles of design: he worked out a series of root rectangles that the artist, using the simple mathematics supplied in this book, can easily follow and apply in his own work. Originally published as a series of lessons in Hambidge's magazine, The Diagonal, this engrossing book explains all the basic principles of dynamic symmetry. Part I sets forth the fundamental rectangles with their simple divisions based on the proportioning law found in nature; Part II explains compound rectangles, many of which were taken from or suggested by analysis of objects of Greek art. Whether read for its historical importance in art theory, for its illuminating insights into Greek art, or for its practical value to today's artists and commercial designers, The Elements of Dynamic Symmetry has much to offer anyone who is interested in the principle of design. Dover republication of the third (1948) edition. Synopsis:Originally published as a series of lessons in Hambidge's magazine, The Diagonal, this engrossing book explains all the basic principles of dynamic symmetry. Part I covers fundamental rectangles while Part II explains compound rectangles. 118 illustrations. Synopsis:Controversial but lasting thesis that design and great art can be created by application of easily followed mathematics. 118 illustrations. Table of ContentsINTRODUCTION
Synthesis and analysis The difference between static and dynamic symmetry Sources for the study of dynamic symmetry THE DYNAMIC SYMMETRY OF THE PLANT The summation series How dynamic symmetry was discovered The logarithmic spiral The law of phyllotaxis Explanation of its application to design PART I. SIMPLE RECTANGLES LESSON 1. THE SQUARE (OR UNITY) Methods for manipulating the plan forms of nature The square and its diagonal The square and the diagonal to its half The root rectangles constructed outside a square The linear proportions of the root rectangles The root rectangle constructed within a square LESSON 2. THE RECTANGLE OF THE WHIRLING SQUARES (1.618) AND THE ROOTFIVE RECTANGLE (2.236) Construction of a whirling square rectangle Method for constructing a rootfive from a whirling square rectangle "Cutting a line in what Plato called "the section" LESSON 3. THE APPLICATION OF AREAS Simple method of the Greeks for the division of areas Process for the application of the square on an end to a side of a rectangle LESSON 4. THE RECIPROCAL Definition of a reciprocal Importance to design of a reciprocal shape "Explanation of the name "whirling squares" Arithmetical statement of the reciprocal considered Relationship between whirling square reciprocals and the rootfive rectangle LESSON 5. THE DIAGONAL The diagonal of a rectangle The 47th proposition of the first book of Euclid The diagonal of a reciprocal Various methods for establishing reciprocals The rectangular spiral Intersection of a diagonal of the whole with a diagonal of the reciprocal Division of the root rectangles into their reciprocals LESSON 6. THE ROOTTWO RECTANGLE (1.4142) Why a roottwo rectangle is so called Rectangular spirals in a roottwo rectangle A roottwo rectangle plus a square A roottwo rectangle described within a square Roottwo rectangles described on the four sides of a square The reciprocal of a roottwo rectangle plus a square A square plus two roottwo reciprocals Division of a roottwo rectangle into its reciprocals Division of any rectangle into thirds LESSON 7. THE ROOTTWO RECTANGLE AND THE APPLICATION OF AREAS "A square "applied" on the end of a roottwo rectangle " Application of areas to other areas A square applied to each end of a roottwo rectangle Division of a roottwo rectangle when the diagonal of the whole cuts the side of an applied square Application of a square on an end to a side of a roottwo rectangle Similarity of figure A roottwo rectangle applied to the square of a 2.4142 shape A square applied to a roottwo reciprocal LESSON 8. THE ROOTTHREE RECTANGLE (1.732) Construction of a rootthree rectangle Application of a square on the end of a rootthree rectangle A square on an end applied to a side or a rootthree rectangle Division of the rootthree rectangle into its reciprocals Different ways of dividing the rootthree rectangle into similar shapes LESSON 9. THE ROOTFOUR RECTANGLE (2.) Construction of a rootfour rectangle Division into its reciprocals Dynamic and static treatment of a rootfour rectangle A whirling square rectangle applied to a rootfour rectangle A square on an end applied to a side or a rootfour rectangle LESSON 10. THE ROOTFIVE RECTANGLE (2.236) Construction of a rootfive rectangle Four whirling square rectangles described on the four sides of a square A square applied on the end of a rootfive rectangle A square on an end applied to a side of a rootfive rectangle Division of the rootfive rectangle into its reciprocal LESSON 11. THE SPIRAL AND OTHER CURVES OF DYNAMIC SYMMETRY The logarithmic or constant angle spiral The first geometrical discovery made by the Greeks "Another great discovery, that of a mean proportional" Definition of a mean proportional Lines in continued proportion Logarithmic spiral drawn within a rectangle Construction of volutes of different kinds LESSON 12. GENERAL CONSTRUCTIONS FOR SIMILARITY OF FIGURE Enlargement and reduction of shapes by a diagonal Construction of similar shapes which can be moved up or down on a medial line Similar shapes constructed from any point in a rectangle Properties of modulation and measurableness in dynamic areas Properties of shapes similar to dynamic subdivisions of areas Construction of shapes similar to dynamic subdivisions of areas. Eternal principle of growth in dynamic shapes PART II. COMPOUND RECTANGLES LESSON I. THE COMPLEMENT Form and color complements compared Definition of a complement Relationship between areas and their complements Division of areas in terms of their complements A reciprocal in a complement of a rootfive rectangle Intention the dominant factor in artistic expression Importance to the artist of the use of diagonal lines To transfer a complement How to construct different rectangles in single and multiple form within areas LESSON II. RHYTHMIC THEMES OF THE WHIRLING SQUARE RECTANGLE Rootfive rectangles within the rectangle of the whirling squares Arithmetical analysis Other subdivisions of the whirling square rectangle Summing up of other ratios appearing in this lesson LESSON III. THE SQUARE PLUS A ROOTFIVE RECTANGLE (1.4472) AND A WHIRLING SQUARE RECTANGLE APPLIED TO A SQUARE "The 1.4472 rectangle, the key ratio of the Parthenon plan" Its natural source in the regular pentagon How to draw a square plus a rootfive rectangle Connection between the ratio 1.4472 and 1.382 How a whirling square rectangle is applied to a square Diagonals of the whole and diagonals of the reciprocals drawn to a whirling square rectangle within a square LESSON IV. COMPOUND RECTANGLES WITHIN A SQUARE Area in excess of a rootfive rectangle placed within a square Natural source of an .809 rectangle A .191 rectangle A 1.191 rectangle LESSON V. FURTHER ANALYSIS OF THE SQUARE Analysis of excess areas resulting from application of a whirling square rectangle to a square LESSON VI. THE ADDITION OF UNITY TO DYNAMIC AREAS & "List, with corresponding diagrams, of the most important ratios of dynamic symmetry, with their reciprocals, 1/2 ratios and 1/2 reciprocals" LESSON IX. RATIOS MOST FREQUENTLY USED?Continued Analysis of a 2.309 shape with list of its subdivisions "List of subdivisions of the 2.4472, 2.472, 2.618 and 2.764 shapes" Odd compound rectangles within a square WHAT INSTRUMENTS TO USE AND HOW TO USE THEM DEFINITIONS SELECTED FROM THE THIRTEEN BOOKS OF EUCLID'S ELEMENTS GLOSSARY What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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