M.C. Escher : art and science : proceedings of the International Congress on M.C. Escher, Rome, Italy, 26-28 March, 1985

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M.C. Escher : art and science : proceedings of the International Congress on M.C. Escher, Rome, Italy, 26-28 March, 1985

edited by H.S.M. Coxeter ... [et al.]

North-Holland, 1986

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内容説明

The work of Dutch artist Maurits Cornelis Escher (1898-1972) continues to attract wide interest. Mathematicians, physicists, crystallographers, chemists, biologists, psychologists, psychiatrists, art historians, and specialists in computer graphics and visual communications attended this congress. The papers presented here in this illustrated volume confirm that Escher's works are not only good examples of the visualization of scientific problems but also stimulate real scientific research.

目次

Foreword (M. Emmer). M.C. Escher at Work (G.A. Escher). Escher and Symmetry. Coloured Symmetry (H.S.M. Coxeter). The 37 Combinatorial Types of Regular ``Heaven and Hell'' Patterns in the Euclidean Plane (A.W.M. Dress). On Monohedral Space Tillings in M.C. Escher's Work (P. Engel). Mathematical Challenges in Escher's Geometry (B. Grunbaum). Hidden Symmetry (C.H. MacGillavry). M.C. Escher's Classification System for his Colored Periodic Drawings (D. Schattschneider). Escher Designs on Surfaces (M. Senechal). What Escher Might Have Done (G.C. Shephard). Escher, Mathematics and Visual Perception. Escher's Impossible Figure Prints in a New Context (B. Ernst). Puzzles of Pictures as Untouchable Objects (R.L. Gregory). Escher and the Visual Representation of Mathematical Ideas (R. Penrose). Perceptual Theory and Ambiguity in the Work of M.C. Escher against the Background of the 20th Century (M.L. Teuber). Escher and Geometry. Rolling a Tetrahedron on the Plane to Produce Periodic Patterns of Symmetry P2 and Drawing Dragon Curves as Backbones of Escher Figures (K. Husimi). Metamorphosis and Cycle in Curved Space Structure (H. Lalvani). Polyhedra in the Work of M.C. Escher (A.L. Loeb). Braiding Escher Models (J. Pedersen). Butterflies and Snakes (J.F. Rigby). How the ``Path of Jerusalem'' in Chartres Separates Birds from Fishes (P. Rosenstiehl). Polyhedra in the Style of Leonardo, Dali and Escher (J.M. Wills). Temari Workshop (K. Yamamoto). Escher, Cinema and Computer Graphics. Creating Hyperbolic Escher Patterns (D.J. Dunham). Movies on M.C. Escher and their Mathematical Appeal (M. Emmer). Animating Escher with Computer Graphics (N. Greene). The Interactive Computer Graphics (ICG) Production of the 17 Two-Dimensional Crystallographic Groups, and Other Related Topics (L. Cervini, R. Farinato and L. Loreto). Escher and the Physical World. The World of Escher and Physics (G. Caglioti). Symmetry in Protein Structure and Function (E.P. Whitehead). Structural and Dynamic Transformations in Molecular Biology (M. Wurtz). Escher and Art. From M.C. Escher to Multi-Dimensional Thinking (S. Berczi, D. Nagy and T.K. Farkas). Univocals, Ambiguity, Nonsense in Escher's Art (C. Maltese). Escher and Hoogewerff - A Meeting in the Thirties (J. Offerhaus). Escher: Between Cartography and Representation (R.L. Pierantoni). Escher and The Humanities. Escherian and Non-Escherian Developments of New Frieze Style Types in Hanti and Old Hungarian Communal Art (S. Berczi). The Usual, the Ambiguous and Two Types of Visual Incongruity in the Work of M.C. Escher (P. Bonaiuto). A Set of Possible Worlds (S. Marconi). M.C. Escher's ``Likely Impossibilities'': Using the Beauty of Mathematics to Create the Truth of Art (E.B. Versluis). Colour Section.

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