Related Topics    M. C. Escher     Web Sites

Related Topics

Beyer, J. (1999). Designing tessellations: The secrets of interlocking patterns. Chicago: Contemporary Books.
    Descriptive text that covers different kinds of tessellations, tilings, interlocking, and morphing two and three dimensional designs. Several examples in nature, art, and craft (quilts) are discussed.

Boles, M., & Newman, R. (1992). The surface plane: The relationship: Art, math and nature. Bradford, MA: Pythagorean Press.
    The golden section and its relationship in nature, art, and math. Includes symmetry, tilings, in a hands-on workbook style of spatial problem solving for both two and three dimensional space.

Bourgoin, J. (1973). Arabic geometrical pattern and design. New York: Dover Publications.
    Black and white illustrations of Arabic patterns with an extensive number of plates that illustrate the underlying grid patterns of the linear drawings. Plates may be torn out and colored in.

Dixon, R. (1987). Mathographics. New York: Dover Publications.
    Inversion drawings, Fibonacci numbers, golden section, and computer generated fractals are illustrated with black and white drawing and explained in text. Algebraic equations are given in the exercises for computer generated drawings.

Ghyka, M. (1977). The geometry of art and life. New York: Dover Publications.
    Proportion in space and time, the Golden Section, Fibonacci series, geometric shapes on the plane and in space are all discussed along with natural ration, proportion, rhythm, and symmetry. Illustrated with black and white art reproductions, analysis grids, and geometric figures with algebraic equations.

Hambridge, J. (1953). The elements of dynamic symmetry. New York: Dover Publications.
    Ratios and their reciprocals found in nature and in Greek design. Regular division of geometric shapes with examples in nature, Egyptian and Greek art.

Holiday, E. (1970). Altair design. New York: Pantheon Books.
    Star-like repetitive patterns designed in a coloring book format. By coloring in designs, various patterns alter form, shape, and color. Multiple pages of the same design allow individual to test more than one color pattern.

Lawlor, R. (1982). Sacred geometry: Philosophy and practice. London: Thames and Hudson.
    Ancient geometry and the division of unity into multiplicity and diversity. Analysis of the Golden Proportion (Section) in nature and the geometric creation of spirals. The author also includes a short section on the proportion of music or the geometry of music. Platonic solids are briefly discussed.

Newman, R., and Fowler, D. M. (1996). Space, structure and form: Interweaving art, math and nature in three dimensions. Bradford, MA: Pythagorean Press.
    Symmetry and regular division of the three dimensional plane. Examples in nature, art and architecture are given. Crystals and spheres are also discussed. The book includes references, resources, and a glossary.

Phillips, P., & Bunce, G. (1993). Repeat patterns: A manual for designers, artists and architects. New York: Thames and Hudson.
    Symbols and patterns of design both ancient and modern. Extensive description of repeats (block repeats, composite repeats, irregular repeats). Also includes scale and gradation patters and how to test a design.

Wilson, J. (1983). Mosaic and tessellated patterns. New York: Dover Publications.
    Brief description of types of tessellations and tilings. Designed in color-book format with linear drawings.

M. C. Escher

	Ernst, B. (1976). The magic mirror of M. C. Escher. New York: Ballantine Books.
	Escher, M. C. (1989). Escher on Escher: Exploring the infinite. Karin Ford, Trans. New York: Harry N. Abrams.     This book is primarily biographical information but also contains Escher’s thoughts on his earlier works. Reflection on his work over a period of time and how one style of patterns evolved into another is very informative to understanding his later works.
	Escher interactive; Exploring the art of the infinite. CD-ROM, Windows. (1996). New York: Harry N. Abrams     The CD-ROM allows some hands on works for students that also includes descriptive media clips that detail different kinds of tessellations . The CD contains some biographical information as well as sound clips from Escher family members and photos of Escher.
	The Fantastic Work of M. C. Escher. Videocassette. (1994). Atlas Video, Inc.
	The graphic work of M. C. Escher. John E. Brigham, Trans. (1967). New York: Ballantine Books.
	Hofstadter, D. R. (1979). Godel, Escher, Bach: An eternal golden braid. New York: Vintage Books.     An entertaining book on creativity and similarity of the music of Bach, the artwork of Escher, and the mathematics of Gödel. It also discusses artificial intelligence, computers and human thought.
	The pop-up book of M. C. Escher. (1991). Petaluma, CA: Pomegranate Artbooks.
	Locher, J. L. (ED.) (1988). The world of M. C. Escher. The Netherlands: Cordon Art, Baarn.
	Locher, J. L. (ED.) (1971). The world of M. C. Escher. New York: Harry N. Abrams.
	M. C . Escher, (1898-1972): Regular divisions of the plane at the Haags Gemeentemuseum. Museum catalog. (1986). The Netherlands: Cordon Art, Baarn.

	Schattschneider, D. (1990). M. C. Escher: Visions of symmetry: Notebooks, periodic drawings, and related work of M. C. Escher. New York: W. H. Freeman.     Schattschneider's generously illustrated volume analyses the critical aspect of Escher's work, focusing on a series of several symmetry drawings and paintings created by Escher over a period of 45 years which he used as references for his continuing work on the regular division of the plane.
	Schattschneider, D., and W. Walker (1987). M. C. Escher kaleidocycles. Corte Madera, CA: Pomegranate Artbooks.     This book includes several full-color models that begin as two-dimensional designs and fold into three dimensional kaleidocycle forms. Similar to the 1977 version but adds additional biographical information and color plates.
	Schattschneider, D., and W. Walker (1977). M. C. Escher kaleidocycles. New York: Ballantine Books.

Web Sites

www.tessellations.com/Art.htm
An individual’s web site that combines art and math.

http://library.thinkquest.org/16661/
Combines Escher’s work, tilings, and mosaics.

http://tony.ai/KW/goldengeom.html
The golden mean and geometric concerns.

www.licm.com/noFr.f/BordNF.html
Long Island’s Children Museum - draw your own "borderline".

www.hufsoft.com/software/page4.html
SymmeToy is a program for creating paint patterns, symmetry roses, tessellated art and symmetrically decorated 3D polyhedron models.

http://dimacs.rutgers.edu/~rkrane/tessell.html
History of tessellations, designing tessellations with java, links to related sites.

www.iproject.com/escher/teaching/eschertessel.html
"Escher Tessellations", by Jan Walczak. Reprinted with permission from School Arts Magazine.

www.sphys.unil.ch/escher/
Escher Web Sketch - a hands-on activity.

http://home.earthlink.net/~paulcarr/books/GEB.html
Links to sites about Godel, Escher, Bach, and others.

www.ics.uci.edu/~eppstein/junkyard/penrose.html
Penrose tilings and links to many sites.

http://luna.moonstar.com/~nedmay/
Penrose tiles, fractal geometry, golden mean, Fibonacci numbers, and chromatism (a discipline which lies at the confluence of mathematics and art).

www.tabletoptelephone.com/~hopspage/Links.html
Links to art and math sites (tessellations, Fibonacci numbers, quilts, Escher, Buckminister Fuller).

http://www.nga.gov/collection/gallery/ggescher/ggescher-main1.html
National Gallery of Art: Tour of the life and work of M. C. Escher.

www.mathacademy.com/platonic_realms/minitext/escher.html
Visual Math: Escher, spatial logic.

www.sfc.keio.ac.jp/~aly/escher/
Personal page of someone who works in Escher-like patterns. Also includes links to many Escher related sites.

www.geom.umn.edu/apps/gallery.html
Interactive site from The Geometry Center: Center for Computational and Visualization of Geometric Structures. (Associated with the University of Minnesota Science and Technology Center.)

www.cg.tuwien.ac.at/gallery/
Computer graphic animations and simulations from the Institute for Computer Graphics associated with the Vienna University of Technology.

Revised 3.10.2000

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Act1Graphics
Last update: 09.18.2005