The Visual mind : art and mathematics / edited by Michele Emmer.

Cambridge, Mass. : MIT Press, [1993], ©1993.

xvii, 274 pages : illustrations (some color) ; 29 cm.

Includes bibliographical references and indexes.

Introduction to The visual mind : art and mathematics / M. Emmer -- The mathematical way of thinking in the visual art of our time / M. Bill -- Fractals and an art for the sake of science / B.B. Mandelbrot -- Portraits of a family of complex polytopes / H.S.M. Coxeter and G.C. Shephard -- On the cohomology of impossible figures / R. Penrose -- On the edge of science : the role of the artist's intuition in science / C.O. Perry -- Interactivity and plastic space : from the minimal unit of movement to the modulus / A. Duarte -- Visualization in art and science / H.E. Brisson -- Two conformal mappings / R. Dixon -- Computer interactive sculpture / H. Ferguson -- On knot-spanning surfaces : an illustrated essay on topological art / G.K. Francis with B. Collins -- The topology of Roman mosaic mazes / A. Phillips -- Visualization of soap bubble geometries / F. Almgren and J. Sullivan -- Illustrating Beyond the third dimension / T. Banchoff and D.P. Cervone.

True 3D computer modeling : sculpture of numerical abstraction / S. Dickson -- Generative mathematics : mathematically described and calculated visual art / H.W. Franke and H.S. Helbig -- Caricature, readymades and metamorphosis : visual mathematics in the context of art / D.J. Cox -- Number as form and content : a composer's path of inquiry / B. Evans -- Carpets and rugs : an exercise in numbers / D.E. Passoja and A. Lakhtakia -- On computer graphics and the aesthetics of Sierpinski gaskets formed from large Pascal's triangles / C.A. Pickover -- Soap bubbles in art and science : from the past to the future of math art / M. Emmer -- Interlace patterns in Islamic and Moorish art / B. Grünbaum and G.C. Shephard -- The fascination of tiling / D. Schattschneider -- Automatic generation of hyperbolic tilings / S. Levy -- TEMPER : a system for music synthesis from animated tessellations / G. Haus and P. Morini -- Compound tilings and perfect colourings / J.F. Rigby.

Crystallography and plane ornaments : interactive multi-window computer graphics / L. Loreto, R. Farinato and M. Tonetti -- Reflections on symmetry-dissymmetry in art and in art sudies / V.A. Koptsik -- The Flagellation of Christ by Piero della Francesca : a study of its perspective / L. Geatti and L. Fortunati -- Art and mathematics : the Platonic solids / M. Emmer -- On some new Platonic forms / L. Saffaro -- The aesthetics of viruses / A.S. Koch and T. Tarnai -- The fourth dimension and non-Euclidean geometry in modern art : conclusion / L.D. Henderson -- On some vistas disclosed by mathematics to the Russian avant-garde : geometry, El Lissitsky and Gabo / M. Corrada -- The geometries behind my spherical paintings / D. Termes -- New representative methods for real and imaginary environments / E. Frisia.