Bibliography

Abas, Syed. Symmetries of Islamic Geometrical Patterns, Singapore. World Scientific, 1995

Abbott, Edwin. Flatland, A Romance in Many Dimensions NY Dover, 1992. First Published 1884.

Achen, Sven. Symbols Around Us. NY. Van Nostrand, 1978.

Ackerman. Distance Points: Essays in Theory of Renaissance Art & Architecture. Boston, MIT Press, 1991

Alberti, Leon Battista. On Painting. A translation of Della pittura. New Haven. Yale U. Press 1956.

Alberti, Leon Battista. Ten Books on on Architecture. NY. Dover, 1986. A 1775 edition of the work written in 1452.

Argüelles, José and Miriam. Mandala. Boston: Shambhala, 1985.

Arnheim, Rudolph. Art and Visual Perception: A Psychology of the Creative Eye. California. U. of Calif. Press, 1966.

Arnheim, Rudolph. The Power of the Center. Berkeley: U. Calif. Press, 1988.

Bairati, Eleonaora. Piero della Francesca. NY: Crescent, 1991.

Barratt, Krome. Logic and Design. NY. Design Books, 1980.

Bayley, Harold. The Lost Language of Symbolism, 2 Vols. Phila. Lippincott, 1913.

Baxendall, Michael. Painting and Experience in Fifteenth Century Italy. Oxford. Clarendon Press, 1972.

Bell, Daniel Orth. New Identifications in Raphael’s School of Athens. Art Bulletin, Dec. 1995, p. 639.

Blackwell, William. Geometry in Architecture.

Bouleau, Charles. The Painter's Secret Geometry. NY: Harcourt, 1963.

Boles, Martha and Newman, Rochelle. The Golden Relationship: Art, Math & Nature. 4 Vols. Bradford MA. Pythagorean Press.

Bord, Janet, Mazes and Labyrinths of the World. NY. Dutton, 1975.

Briggs, John. Fractals, the Patterns of Chaos. NY: Simon & Schuster, 1992.

Briggs, John, et al. Turbulent Mirror. NY: Harper, 1989.

Brunés, Tons, The Secrets of Ancient Geometry - and its use. Copenhagen. Rhodos, 1967.

Burckhardt, Jacob, The Civilization of the Renaissance in Italy. NY. Modern, 1954. First published 1860.

Burckhadt, Titus, Mirror of the Intellect: Essays on Traditional Science & Sacred Art. Albany, SUNY Press, 1987.

Burnham, Jack, The Structure of Art. NY. Braziller, 1971.

Butler, Christopher, Number Symbolism. London. Routhledge, 1970.

Calter, Paul. Technical Mathematics. NJ: Prentice-Hall 1995.

Campbell, Joseph, with Bill Moyers. The Power of Myth. NY: Doubleday 1988.

Canaday, John, Mainstreams of Modern Art. NY. Holt, 1959.

Carr-Gomm, Sarah, Dictionary of Symbols in Western Art. NY. Facts On File, 1995.

Carter, David, Dynamic Symmetry. Exhibition Catalog, 1961.

Chitham, Robert. The Classical Orders of Architecture. NY: Rizzoli, 1985

Clark, Kenneth. Civilization. NY: Harper, 1969.

Clark, Kenneth. Leonardo da Vinci. Baltimore: Penguin, 1939.

Clark, Kenneth. The Nude. NY: Doubleday, 1959.

Clark, Kenneth, The Romantic Rebellion. NY. Harper, 1972.

Cole, Alison. Perspective. London: Kindersley, 1992.

Cole, Rex, Perspective for Artists. NY. Dover, 1976. First published 1921.

Conway, William Martin. The Writings of Albrecht Dürer. NY: Philosophical Library, 1958

Cook, Theodore, The Curves of Life. NY. Dover, 1979. First published 1914.

Cowen, Painton. Rose Windows. London: Thames and Hudson, 1979.

Critchlow, Robert. Time Stands Still

Dabrowski, Magdalena. Contrasts of Form: Geometric Abstract Art 1910-1980. New York: Museum of Modern Art, 1985.

Dante, The Divine Comedy.

Doczi, György. The Power of Limits: Proportional Harmonies in Nature, Art, and Architecture. Boston. Shambhala, 1981.

Dunning, William V. Changing Images of Pictorial Space: Syracuse. Syracuse U. Press, 1991.

Dürer, Albrecht. The Complete Engravings, Etchings and Drypoints. Ed. By Walter Strauss. NY: Dover, 1972.

Dürer, Albrecht. The Complete Woodcuts. Ed. By Campbell Dodgson. NY: Dover, 1963.

Dürer, Albrecht. Drawings. Ed. By Heinrich Wolfflin. NY: Dover, 1970.

Dürer, Albrecht. The Human Figure. Ed. by Walter Strauss. NY: Dover, 1972. Original c. 1528.

Eco, Umberto. Art and Beauty in the Middle Ages. New Haven: Yale, 1986.

Edgerton, Samuel. The Heritage of Giotto’s Geometry.

Edgerton, Samuel. The Renaissance Rediscovery of Linear Perspective. NY: Basic Books, 1975.

Edwards, Edward. Pattern and Design with Dynamic Symmetry. NY: Dover 1967. Reprint of Dynamarhythmic Design, 1932.

El-Said, Issam, et al. Geometric Concepts in Islamic Art. Palo Alto: Seymour, 1976.

Emmer, Michele, Ed. The Visual Mind: Art and Mathematics. Cambridge: MIT Press, 1993.

Euclid. The Thirteen Books of the Elements. NY: Dover, 1956.

Ferguson, George. Signs & Symbols in Christian Art. London: Oxford, 1954.

Fisher, Sally. The Square Halo. NY: Abrams, 1995.

Fox, Matthew. Illuminations of Hildegard of Bingen. Santa Fe: Bear, 1985.

Frazer, James. The Golden Bough. NY: Collier, 1922.

Fusè, Tomoko. Unit Origami.

Gimpel, Jean. The Cathedral Builders. NY: Harper, 1961.

Gleik, James. Chaos. NY: Penguin, 1987.

Golding, John. Cubism: A History and an Analysis 1907-1914. Cambridge. Belknap/Harvard, 1988.

Gombrich, E. H. Art and Illusion. NY: Pantheon, 1960

Gombrich, E.H. New Light on Old Masters. Chicago: U. Of Chicago Press, 1986.

Gulick, Denny. Encounters with Chaos. NY: McGraw-Hill, 1992.

Ghyka, Matila. The Geometry of Art and Life. NY: Dover, 1977.

Graves, Robert. Hebrew Myths. NY: Doubleday, 1963.

Graves, Robert. The White Goddess. NY: Farrar, 1948.

Hale, Jonathon. The Old Way of Seeing. Boston. Houghton, 1994.

Hale, John R. Encyclopedia of the Italian Renaissance. London: Thames and Hudson, 1981.

Hall, James. Dictionary of Subjects anbd Symbols in Art. NY: Harper, 1974.

Hambidge, Jay. Dynamic Symmetry: The Greek Vase. New Haven: Yale, 1920

Hambidge, Jay. The Elements of Dynamic Symmetry. NY: Dover, 1967.

Hambidge, Jay. The Parthenon and other Greek Temples: Their Dynamic Symmetry. New Haven: Yale, 1924

Hanks, Kurt. Rapid Viz: A New Method for the Rapid Visualization of Ideas. CA: Kaufmann, 1980.

Hargittai, István, ed. Fivefold Symmetry. NY: World Scientific, 1991.

Hargittai, István, and Pickover, C.A. eds. Spiral Symmetry. NY: World Scientific, 1991.

Hargittai, István, ed. Symmetry 2. NY: Pergammon, 1989.

Hargittai, István. Symmetry Through the Eyes of a Chemist. NY: Plenum, 1995.

Hargittai, István. Symmetry, a Unifying Concept. CA: Shelter, 1994.

Harris, Cyril. Illustrated Dictionary of Historic Architecture. NY: Dover, 1977.

Henderson, Linda Dalrymple. The Fourth Dimension and Non-Euclidean Geometry in Modern Art. Princeton: 1983.

Hersey, John. The Lost Meaning of Classical Architecture. Cambridge: MIT 1988.

Hersey, John. Possible Palladian Villas. Cambridge: MIT, 1922.

Hersey, John. Pythagorean Palaces. Ithaca. Cornell, 1976.

Hessemer, F. M. Historic Designs and Patterns in Color from Arabic and Italian Sources. NY: Dover, 1992. First published 1842.

Hofstadter, Douglas. Gödel, Escher, Bach: an Eternal Golden Braid. NY: Vintage, 1979.

Hopper, Vincent. Medieval Number Symbolism. NY: Columbia, 1938.

Huntley, H.E. The Divine Proportion. NY: Dover, 1970.

Ivins, William, Art & Geometry: A Study in Space Intuitions. Cambridge: Harvard U. Press, 1946.

Jameson, Anna. Sacred and Legendary Art. Boston: Houghton, 1895.

Janson, H.W. History of Art. NY: Abrams, 1995.

Jones, Lesley, Ed, Teaching Mathematics and Art. Cheltenham: Stanley Thornes (Publishers), 1991.

Jung, Carl G. et al. Man and His Symbols. NY: Dell, 1964.

Kappraff, Jay. Connections: The Geometric Bridge between Art and Science. NY: McGraw, 1990.

Katzenellenbogen, Adolf. The Sculptural Programs of Chartres Cathedral. Baltimore: Hopkins, 1959.

Kemp, Martin. Leonardo on Painting. New Haven: Yale U. Press, 1989.

Kemp, Martin, The Science of Art. New Haven: Yale U. Press, 1990.

Kepes, Gyorgy, ed. Structure in Art and Science. NY: Braziller, 1965.

Kepes, Gyorgy, ed. The New Landscape in Art and Science. Chicago: Theobald, 1953.

Kitzinger, Ernst. The Art of Byzantium and the Medieval West. Bloomington: Indiana, 1976.

Kline, Morris. Mathematics in Western Culture. NY: Oxford U. Press, 1953.

Koch, Rudolf. The Book of Signs. NY: Dover, 1955. Original, 1930.

Kubovy, Michael. The Psychology of Perspective and Renaissance Art. Cambridge: Cambridge U. Press, 1986.

Lawlor, Robert. Sacred Geometry. NY: Thames & Hudson, 1982.

Lehner, Ernst. Symbols, Signs & Signets. NY: Dover, 1950

Leonardo da Vinci. Treatise on Painting. (Codex Urbinas Latinus 1270), Translated by A. Philip MccMahon, Princeton 1956.

Levey, Michael. Early Renaissance. NY: Penguin, 1967.

Linn, Charles. The Golden Mean. NY: Doubleday, 1974.

Lippard, Lucy. Overlay. NY: Pantheon, 1983.

Lowrie, Walter. Art in the Early Church. NY: Norton, 1947.

Madoff, Henry. Vestiges and Ruins: Ethics and Geometric Art in the Twentieth Century. Arts Magazine, V. 61, 1986.

Markowsky, George. Misconceptions about the Golden Ratio. College Mathematics Journal, Jan. 1992, p. 2.

MacGillarvy, Caroline. Symmetry Aspects of M.C. Escher's Periodic Drawings. Utrecht: Uitgeversmaatschappij NV, 1965.

Mandel, Gabriele. How to Recognize Islamic Art. NY: Penguin, 1979.

Mandelbrot, Benoit. The Fractal Geometry of Nature. San Francisco: Freeman, 1982.

Manetti, Antonio. The Life of Brunelleschi. Annotatated by Howard Saalman. PA: Penn State U Press, 1970. Original c. 1489.

Mannering, Douglas. The Art of Leonardo Da Vinci. NY: Excalibur, 1981.

McCurdy, Edward. Leonardo da Vinci’s Notebooks. NY: Empire, 1923.

Morrison, Stanley. Pacioli’s Classic Roman Alphabet. NY: Dover, 1994. First published 1933.

Newman, James R., Ed. The World of Mathematics. NY: Simon and Shuster, 1956.

Norberg-Schulz, Christian. Meaning in Western Architecture. NY: Praeger, 1975.

Olson, Alton T. Mathematics Through Paper Folding. NCTM, 1975.

Palladio, Andrea. The Four Books of Architecture. NY: Dover, 1965.

Panofsky, Erwin. Gothic Architecture and Scholasticism.

Panofsky, Erwin. The Life and Art of Albrecht Dürer. Princeton, 1955.

Panofsky, Erwin. Meaning in the Visual Arts.

Panofsky, Erwin. Perspective as Symbolic Form.

Panofsky, Erwin. Studies in Iconology. NY: Harper, 1939.

Pedoe, Dan. Geometry and the Visual Arts. NY: Dover, 1976.

Peitgen, Heinz-Otto, et al. Fractals for the Classroom. NY: Springer, 1992.

Pevsner, Nikolaus. An Outline of European Architecture. Baltimore: Penguin, 1972.

Plato. Timaeus. Ed. And Trans. By John Warrington. London: Dent, 1965. Original c. 360 B.C.E.

Pope-Hennessy, John. Paradiso. The Illuminations of Dante’s Divine Comedy by Giovanni di Paolo. NY: Random, 1993

Pope-Hennessy, John. The Study and Criticism of Italian Sculpture. Princeton: Princeton U. Press, 1980.

Pozzo, Andrea. Perspective in Architecture and Painting. NY: Dover, 1989. Original c. 1707.

Prusinkiewicz, Przemyslaw et al. The Algorithmic Beauty of Plants. NY: Springer, 1990.

Pseudo Dionysius. Complete Works. NY: Paulist, 1987.

Reti, Ladislao, Ed. The Unknown Leonardo. NY: McGraw, 1974.

Richter, Irma. Rhythmic Forms in Art. London: John Lane, 1932.

Richter, Jean Paul. The Notebooks of Leonardo da Vinci. Two Volumes. NY: Dover, 1970.

Robins, Gay, et al. The Rhind Mathematical Papyrus. NY: Dover, 1987.

Rotzler, Willy. Constructive Concepts: A History of Constructive Art from Cubism to the Present. NY. Rizzoli, 1989.

Rowe, Colin. The Mathematics of the Ideal Villa and Other Essays. Boston. MIT Press, 1976.

Rucker, Rudolph. Geometry, Relativity and the Fourth Dimension. NY: Dover, 1977.

Schattschneider, Doris. Visions of Symmetry: Notebooks, Periodic Drawings, and Related Works of M.C. Escher.

Shearer, Rhonda. Chaos Theory and Fractal Geometry: Leonardo, Vol. 25, No. 2, 1992, p. 143.

Shlain, Leo nard. Art and Physics: Parallel Visions in Space, Time, and Light. Morrow, 1991.

Sill, Gertrude. A Handbook of Symbols in Christian Art. NY: Collier, 1975.

Smith, Baldwin. The Dome. Princeton, 1950.

Thompson, Darcy. On Growth and Form.

Tillyard, E. M. W. The Elizabethan World Picture. NY: Vintage

Tompkins, Peter. Secrets of the Great Pyramid. NY: Harper, 1971.

Vasari, Giorgio. The Lives of the Artists. Oxford: Oxford, 1991. Originally published in 1550.

Vitruvius. The Ten Books on Architecture. NY: Dover, 1960.

Vredman de Vries, Jan. Perspective. NY: Dover, 1968. Original c. 1604.

Ward, Roger. Durer to Matisse - Exhibition Catalog.

Wasserman, James. Art and Symbols of the Occult. Vermont: Destiny, 1993.

Wenniger, Magnus J. Polyhedron Models for the Classroom. NCTM 1966.

Williams, Kim, Ed. Nexus: Architecture and Mathematics. Fucecchio: Edizioni dell’ Erba, 1996.

Wittkower, Rudolf. Architectural Principles in the Age of Humanism. NY: Random, 1965.

Wolfe, Tom. The Painted Word. NY: Farrar, Straus, 1975.


| Description and Requirements | Syllabus | The Book |