Mathematics and Art

A list of Web articles, books, and other resources that bring together mathematics and art. The following listing also provides links to Web sites and pages devoted to the artworks of particular artists and mathematicians.

Books, Associations, and Meetings

Banchoff, Thomas F. 1990. Beyond the Third Dimension: Geometry, Computer Graphics, and Higher Dimensions. New York: Scientific American Library.

Elam, Kimberly. 2001. Geometry of Design: Studies in Proportion and Composition. New York: Princeton Architectural Press.

Emmer, Michele, ed. 1995. The Visual Mind: Art and Mathematics. Cambridge, Mass.: MIT Press.

Ferguson, Claire. 1994. Helaman Ferguson: Mathematics in Stone and Bronze. Erie, Pa.: Meridian Creative Group.

Field, J.V. 1997. The Invention of Infinity: Mathematics and Art in the Renaissance. New York: Oxford University Press.

Henderson, Linda. 1983. The Fourth Dimension and Non-Euclidean Geometry in Modern Art. Princeton, N.J.: Princeton University Press.

Ivins, William M., Jr. 1964. Art and Geometry: A Study in Space Intuition. New York: Dover.

Kapraff, Jay. 1991. Connections: The Geometric Bridge between Art and Science. New York: McGraw-Hill.

Kemp, Martin. 2000. Visualization: The Nature Book of Art and Science. Berkeley, Calif.: University of California Press.

Robbin, Tony. 2006. Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Art. New Haven, Conn.: Yale University Press.

Schattschneider, Doris. 1990. Visions of Symmetry: Notebooks, Periodic Drawings, and Related Works of M.C. Escher. New York: W.H. Freeman.

Information about the International Society for the Arts, Mathematics, and Architecture can be found at http://www.isama.org/.

Bridges: Mathematical Connections in Art, Music, and Science http://www.sckans.edu/~bridges/

Additional Resources: Math Awareness Month 2003
http://www.mathaware.org/mam/03/resources.html

Peterson, Ivars. 2001. Fragments of Infinity: A Kaleidoscope of Mathematics and Art. New York: Wiley. See http://www.isama.org/book/fragments/.

Ivars Peterson's MathTrek

Shadows of the Fourth Dimension http://www.sciencenews.org/articles/20060408/mathtrek.asp

A cabinet of Mathematical Curiosities http://www.sciencenews.org/articles/20051224/mathtrek.asp

Fermat's Natural Spirals http://www.sciencenews.org/articles/20050903/mathtrek.asp

Sea Shell Spirals http://www.sciencenews.org/articles/20050402/mathtrek.asp

Knot Divided in Snow http://www.sciencenews.org/articles/20050205/mathtrek.asp

Artful Routes http://www.sciencenews.org/articles/20050101/mathtrek.asp

Sphere Worlds http://www.sciencenews.org/articles/20041218/mathtrek.asp

A Measure of Beauty http://www.sciencenews.org/articles/20040522/mathtrek.asp

Anatomy of a Bead Creature http://www.sciencenews.org/articles/20040417/mathtrek.asp

Turning a Snowball Inside Out http://www.sciencenews.org/articles/20040207/mathtrek.asp

Sculpting with a Twist http://www.sciencenews.org/articles/20031220/mathtrek.asp

Geometreks http://www.sciencenews.org/articles/20031108/mathtrek.asp

Strolling Down Möbius Lane http://www.sciencenews.org/articles/20031101/mathtrek.asp

Hyperbolic Five http://www.sciencenews.org/articles/20030830/mathtrek.asp

Recycling Topology http://www.sciencenews.org/articles/20030426/mathtrek.asp

Colors of an Equation's Roots http://www.sciencenews.org/articles/20030419/mathtrek.asp

Constructing Domino Portraits http://www.sciencenews.org/20030412/mathtrek.asp

Fractured Granite, Fractal Prints http://www.sciencenews.org/20030405/mathtrek.asp

A Graceful Sculpture's Snow Crash http://www.sciencenews.org/20030208/mathtrek.asp

Fold-and-Cut Magic http://www.sciencenews.org/20021130/mathtrek.asp

A Fibonacci Fountain http://www.sciencenews.org/20021019/mathtrek.asp

Golden Blossoms, Pi Flowers http://www.sciencenews.org/20020831/mathtrek.asp

Fractal Roots and Artful Math http://www.sciencenews.org/20020608/mathtrek.asp

Crystal Möbius http://www.sciencenews.org/20020525/mathtrek.asp

A Snowy Twist http://www.sciencenews.org/20020216/mathtrek.asp

Algebraic Hearts http://www.sciencenews.org/20020209/mathtrek.asp

Sand Drawings and Mirror Curves http://www.sciencenews.org/20010922/mathtrek.asp

Art of Pursuit http://www.sciencenews.org/20010721/mathtrek.asp

Pursuing Pursuit Curves http://www.sciencenews.org/20010714/mathtrek.asp

Möbius Accordion http://www.sciencenews.org/20010609/mathtrek.asp

Immersed in Klein Bottles http://www.sciencenews.org/20010217/mathtrek.asp

White Narcissus http://www.sciencenews.org/20010210/mathtrek.asp

Mathematical Art on Display http://www.sciencenews.org/20001104/mathtrek.asp

Möbius at Fermilab http://www.sciencenews.org/20000902/mathtrek.asp

Scrambled Grids http://www.sciencenews.org/20000826/mathtrek.asp

Art of the Grid http://www.sciencenews.org/20000812/mathtrek.asp

Turtle Tracks http://www.sciencenews.org/20000722/mathtrek.asp

Möbius and his Band http://www.sciencenews.org/20000708/mathtrek.asp

Punctured Polyhedra http://www.sciencenews.org/20000617/mathtrek.asp

Puzzling Lines http://www.sciencenews.org/20000610/mathtrek.asp

Sliding Pi http://www.sciencenews.org/20000603/mathtrek.asp

Math Trails in Ottawa http://www.sciencenews.org/20000527/mathtrek.asp

A Minimal Winter's Tale http://www.sciencenews.org/20000205/mathtrek.asp

Geometry out of Africa http://www.sciencenews.org/sn_arc99/11_27_99/mathland.htm

Art of the Tetrahedron http://www.sciencenews.org/sn_arc99/11_6_99/mathland.htm

Sculpture Generator http://www.sciencenews.org/sn_arc99/10_2_99/mathland.htm

Jackson Pollock's Fractals http://www.sciencenews.org/sn_arc99/9_18_99/mathland.htm

Möbius in the Playground http://www.sciencenews.org/sn_arc99/5_22_99/mathland.htm

Plane Patterns http://www.sciencenews.org/sn_arc99/3_13_99/mathland.htm

Minimal Snow http://www.sciencenews.org/sn_arc99/3_6_99/mathland.htm

Special Topics

Modular origami and Pascal's triangle
http://www.math.lsu.edu/~verrill/origami/pascal/

Fibonacci numbers, golden rectangles, and art
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html
http://educ.queensu.ca/~fmc/october2001/GoldenArt.htm

Artists and Mathematicians

Josef Albers http://www.nga.gov/cgi-bin/psearch?Request=S&imageset=1&Person=200030

Richard Anuszkiewicz http://www.rogallery.com/anuszkiewicz_richard/anuskiewicz_hm.htm

Thomas Banchoff http://www.math.brown.edu/~banchoff/

Bruce Beasley http://www.cs.berkeley.edu/~sequin/SCULPTS/beasley.html

Max Bill http://www.cpm.informatics.bangor.ac.uk/sculpmath/pagesm/mb.html

Anna Campbell Bliss http://www.annacampbellbliss.com/

Mel Bochner http://www.parasolpress.com/bochner.htm

Bob Brill

Harriet Brisson http://www.number53.com/harrietbrisson/

David Cervone http://www.math.union.edu/~dpvc/professional/art/welcome.html

Benigna Chilla http://www.wahcenter.net/exhibits/2000/yaddo/Chilla.jpg

Brent Collins http://www.cs.berkeley.edu/~sequin/SCULPTS/collins.html http://www.cs.berkeley.edu/~sequin/SCULPTS/scherk.html http://www.hardwoodgallery.com/en-us/dept_101.html

Salvador Dali http://www.dali-gallery.com/html/dali800.php

Charles Demuth http://www.artcyclopedia.com/artists/demuth_charles.html

Agnes Denes http://asci.org/artsci99/denes.html

Stewart Dickson http://emsh.calarts.edu/~mathart/SPD_ref.html

Douglas Dunham http://www.d.umn.edu/~ddunham/

M.C. Escher http://www.mcescher.com/

Helaman Ferguson http://www.helasculpt.com/

Mike Field http://nothung.math.uh.edu/~mike/ag/art.html

George Francis http://www.math.uiuc.edu/~gfrancis/

Robinson Fredenthal http://www.upenn.edu/gsfa/rf/aboutrf.html

Nat Friedman http://math.albany.edu:8000/math/isama/selecta.html

Charles Ginnever http://www.artistsforum.com/Ginnever/

Bathsheba Grossman http://www.bathsheba.com/

Susan Happersett http://www.purgatorypiepress.com/artistsbooks_files/boxofgrowth.htm

George W. Hart (polyhedra) http://www.georgehart.com/

Al Held http://www.artnet.com/artist/8072/al-held.html

Slavik Jablan http://members.tripod.com/~modularity/page.htm

Alfred Jensen http://www.alfredjensen.com/home.html

Adrienne Klein http://www.adrienneklein.net/

Sol LeWitt http://www.crownpoint.com/artists/lewitt/

Allen Linder

Robert Longhurst http://www.robertlonghurst.com/

Clement Meadmore http://meadmore.com/

Piet Mondrian http://www.artchive.com/artchive/ftptoc/mondrian_ext.html

Henry Moore http://www.henry-moore-fdn.co.uk/

Eleni Mylonas http://www.elenimylonas.com/

Marlena Novak http://www.art.northwestern.edu/faculty/novak_portfolio.html

Joe Overstreet http://www.fine-art-prints-and-posters-for-sale.com/artists/Joe-Overstreet.php

Douglas D. Peden http://www.northnet.org/stoneweaver/dougswork.htmlhttp://www.northnet.org/stoneweaver/dougswork.html

Charles O. Perry http://www.charlesperry.com/

Howardena Pindell http://www.varoregistry.com/pindell/

Richard Purdy http://www.nancyhoffmangallery.com/exhibit/e_purdy.html

George Rickey http://www.stormking.org/GeorgeRickey.html

Tony Robbin http://TonyRobbin.home.att.net/

John Robinson http://www.cpm.informatics.bangor.ac.uk/sculpture/sculpture.html

Dorothea Rockburne http://www.dorothearockburne.com/

Frank Rothkamm http://www.ps1.org/cut/volume/rothkamm.html

Irene Rousseau http://www.mathartfun.com/shopsite_sc/store/html/IreneRousseau.html

Carlo Séquin http://http.cs.berkeley.edu/~sequin/SCULPTS/sequin.html

Arthur Silverman (tetrahedra) http://www.bilhenrygallery.com/silverman/ and http://www.lemieuxgalleries.com/artist_silverman.html

John F. Simon Jr. http://www.numeral.com/

John Sims http://www.johnsimsprojects.com/

Clifford Singer http://cs.unm.edu/~joel/NonEuclid/singer/

Kenneth Snelson (tensegrity) http://www.kennethsnelson.net/

Arlene Stamp http://www.ccca.ca/artists/artist_info.html?languagePref=en&link_id=263

John Sullivan http://www.math.uiuc.edu/~jms/Images/

Keizo Ushio http://www2.memenet.or.jp/~keizo/

Koos Verhoeff (fractal trees) http://www.win.tue.nl/~wstomv/math-art/koos/tue-9809/

Roman Verostko http://www.verostko.com/

Joan Waltemath http://www.minusspace.com/waltemath/waltemath.html

Elizabeth Whiteley http://home.mindspring.com/~ewhiteley/id6.html

Ivars Peterson's MatheMUSEments

Magic Squares http://www.sciencenewsforkids.org/pages/puzzlezone/muse/muse1103.asp

Global Views http://home.att.net/~mathtrek/muse0902.htm

Unfolding Wonders http://home.att.net/~mathtrek/muse0702.htm

Lively Tiles http://home.att.net/~mathtrek/muse0401.htm

Fancy Folding http://home.att.net/~mathtrek/muse0301.htm

Morphing Art http://home.att.net/~mathtrek/muse1100.htm

Tesseracts: Cubes Get Hyper http://home.att.net/~mathtrek/muse0900.htm

Four Corners, Four Faces http://home.att.net/~mathtrek/muse0400.htm

Mirror, Mirror http://home.att.net/~mathtrek/muse0300.htm

Glitter Trap http://home.att.net/~mathtrek/muse1299.htm