دانلود کتاب Bridges: Mathematical connections in Art, Music and Science

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Preface
Art, Math, and Computers: New Ways of Creating Pleasing Shapes
C. H. Séquin
Architecture and Mathematics: Art, Music and Science
K. Williams
Finding an Integral Equation of Design and Mathematics 21
B. Collins
New Directions for Evolving Expressions 29
G. R. Greenfield
Automatic Interval Naming Using Relative Pitch 37
D. Gerhard
Continuum, Broken Symmetry, and More 49
C. O. Perry
Origami Tessellations 55
H. Verrill
The Poetics of Mathematics in Music 69
P. Escot
Bridges of Mathematics, Art, and Physics 73
D. D. Peden
Chaos Theory and the Fall of the Aztec Empire 83
J. Carrera Bolafios
The Mathematics of Steve Reich’s Clapping Music 87
J. K. Haack
The Circle: A Paradigm for Paradox 93
R. Sarhangi and B. D. Martin
Let the Mirrors Do the Thinking 113
G. Clark and S. Zellweger
Pythagorean and Platonic Bridges between Geometry and Algebra 121
S. Eberhart
Subjective Fidelity and Problems of Measurement in Audio Reproduction 129
J. V.C. Nye
Hyperseeing, Hypersculptures and Space Curves 139
N. Friedman
Problems with Holbein’s Ambassadors and the Anamorphosis of the Skull 157
J. Sharp
Conveying Large Numbers to General Audiences 167
R. McCluney
Mathematics and Poetry: Discrepancies within Similarities 175
S. Marcus
Spontaneous Patterns in Disk Packings 181
B. D. Lubachevsky, R. L. Graham, and F. H. Stillinger
Icosahedral Constructions 195
G. W. Hart
Mathematics in Three Dimensional Design: The Integration of Mathematical Thinking into the
Design Core 203
D. R. Schol
A Symmetry Classification of Columns 209
M. Golubitsky and I. Melbourne
Math and Metaphor 225
D. F. Daniel
A Visual Presentation of Rank-Ordered Sets 237
M. Alagié
Symmetry, Chemistry, and Escher’s Tiles 245
B. D. Martin and R. Sarhangi
A Taxonomy of Ancient Geometry Based on the Hidden Pavements of Michelangelo’s Laurentian
Library 255
B. Nicholson, J. Kappraff, and S. Hisano
Abstracts
Symmetry, Causality, Mind 273
M. Leyton
Sliceform Sculptures-a Bridge between Art and Mathematics 275
J. Sharp
Interpersonal Hypothesis and the GUHA Method 277
J. Doubravova
Eco-Mathematic/Geometric Aspects of a Design Proposal for Landscape/Public Art 279
T. M. Stephens
Traces of the Geometrical Ordering of Roman Florence 281
C. M. Watts and D. J. Watts
The Violin Surface Fitting 282
A. K. Mitra
Geometrical Poetry 283
C. Singer
Geometry as Libera(l)ting Art in Wren’s St. Paul’s Cathedral 287
S. Padget
Relationships of Science, Mathematics and My Constructive Art: A Personal Survey 289
T. M. Stephens
What is the Difference between a Banjo and a Harley-Davidson Motorcycle? Answer: You Can
Tune the Harley 291
D. Fitzgerald