Difference between revisions of "References"

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* Abbott, Edwin A. ''Flatland: A Romance of Many Dimensions (1880), Dover Thrift Edition.  ISBN-10: 048627263X ; ISBN-13: 978-0486272634
 
* Abbott, Edwin A. ''Flatland: A Romance of Many Dimensions (1880), Dover Thrift Edition.  ISBN-10: 048627263X ; ISBN-13: 978-0486272634
 
+
** Online Version: [http://www.alcyone.com/max/lit/flatland/ Flatland]
**Online Version: [http://www.alcyone.com/max/lit/flatland/ Flatland]
+
** Online Version with copies of the illustrations: [http://www.geom.uiuc.edu/~banchoff/Flatland/ Flatland]  
 
 
**Online Version with copies of the illustrations: [http://www.geom.uiuc.edu/~banchoff/Flatland/ Flatland]  
 
  
 
*Heinlein, Robert A. ''And he built a crooked house ...'' [http://www.scifi.com/scifiction/classics/classics_archive/heinlein/heinlein1.html ]
 
*Heinlein, Robert A. ''And he built a crooked house ...'' [http://www.scifi.com/scifiction/classics/classics_archive/heinlein/heinlein1.html ]

Revision as of 16:19, 10 May 2007

This is not meant to be a complete reference to all books and/or articles relating to Escher, but a survey of some books, articles and website that may be useful to the reader.


Escher Related Books

We have used Visions of Symmetry and The Magic of M. C. Escher as textbooks for our course. We use Visions of Symmetry at the beginning of the course and we turn to The Magic of M. C. Escher later in the semester.


  • Escher on Escher: Exploring the Infinite (Paperback) by M. C. Escher, J. W. Vermeulen, Karin Ford (Translator)

Publisher: Harry N. Abrams (1989); ISBN-10: 0810924145; ISBN-13: 978-0810924147

  • M.C. Escher: Life and Complete Graphic Work by J L Locher.

Publisher: Harry N. Abrams (1992); ISBN-10: 0810981130;ISBN-13: 978-0810981133

  • M.C. Escher : 29 Master prints (Paperback)by M. C. Escher

Publisher: Harry N. Abrams (1983);ISBN-10: 0810922681;ISBN-13: 978-0810922686

  • The Magic of M. C. Escher by J. L. Locker

Publisher: Harry N. Abrams (2000); ISBN-10: 0810967200; ISBN-13: 978-0810967205

  • The Magic Mirror of M.C. Escher (Taschen 25th Anniversary Series) by Bruno Ernst (Author), M. C. Escher

Publisher: Taschen; Taschen 25th Anniversary Ed edition (2007); ISBN-10: 3822837032; ISBN-13: 978-3822837030

  • Visions of Symmetry - Notebooks, Periodic Drawings, and Related Work of M. C. Escher by Doris Schattschneider

Publisher: Harry N. Abrams; 2 edition (2004);ISBN-10: 0810943085; ISBN-13: 978-0810943087


Relevant Books

  • Adventures With Impossible Figures (Paperback)by Bruno Ernst.

Publisher: Tarquin (1987); ISBN-10: 0906212545; ISBN-13: 978-0906212547

  • Impossible Worlds: Adventures With Impossible Objects / Optical Illusions (Evergreen Series) (Paperback)by Bruno Ernst.

Publisher: Evergreen;(2006); ISBN-10: 3822854107; ISBN-13: 978-3822854105

  • Tilings and Patterns by B. Grunbaum & G.C. Shepard, W.H. Freeman and Company, New York, 1986, 700 pages.


Articles

With thanks to Doris Schattschneider for many of these.


Symmetry and Tessellations:

  • Coxeter, H.S.M. "Crystal Symmetry and Its Generalizations", in "A Symposium on Symmetry.The Transactions of te Royal Society of Canada LI: Series III: Section Three (June 1957): 1-13.
  • Coxeter, H.S.M. "Angels and Devils." In The Mathematical Gardener, ed. David A. Klarner, 197-209 & Plate IV. Boston: Prindle, Weberr & Schmidt, 1981. Reprinted as Mathematical recreations: A Collection in Honor of Martin Gardner, Mineloa, NY: Dover, 1998
  • Maor, Eli. "Tiling the Plane." In To Infinity and Beyond, pp 102-107. Boston: Birkhauser, 1987
  • Maor, Eli. "Horror Vacui, Amor Infinity." In To Infinity and Beyond, pp 155-163. Boston: Birkhauser, 1987 (Symmetry Groups)
  • Polya, G. "Uber die Analogie der Kristallsymmetrie in der Ebene" Zeitschrift fur Kristallographie 60 (1924)
  • Schattschneider, Doris. "The Many Faces of Symmetry in the Works of M.C. Escher." In Symmetry 2000, I. Hargittai and T.C. Laurent, eds., pp 173-184. London: Portland Press, 2002.


Non-Euclidean Geometry:

  • Coxeter, H.S.M. "The non-Eucliden Symmetry of Escher's Picture 'Circle Limit III'." Leonardo 12 (1979): 19-25, 32
  • Coxeter, H.S.M. "The Trigonometry of Escher's Woodcut 'Circle Limit III' " Mathematical Intelligencer, Vol. 18, No. 4, pp 42-46. A reprint was made available by the AMS PDF file See also AMS page with links to images.
  • Dunham, Douglas, "Creating Repeating Hyperbolic Patterns—Old and New", In Artful Mathematics: The Heritage of M. C. Escher in AMS Notices 2003. PDF file from the AMS notices
  • Peterson, Ivars, Fragments. In Fragments of Infinity: A Kaleidoscope of Math and Art pp 207-218 John Wiley & Sons, Inc 2001.

Mathematics and Art:

  • Gardner, Martin. "The Eerie Mathematical Art of Maurits C. Escher," Scientific American 214 (April 1966): 110-121. In Mathematical Carnival. Washington D.C.: Mathematical Association of America, 1989
  • Grunbaum, Branko "Levels of orderliness: global and local symmetry." In Symmetry 2000, eds. I. Hargittai and T.C. Laurent, pp 51-61. London: Portland Press, 2002.
  • Mankiewicz, Richard. "The Renaissance Perspective." In The Story of Mathematics, pp 59-66. Princeton University Press, 2000
  • Mankiewicz, Richard. "New Geometries." In The Story of Mathematics, pp 125-132. Princeton University Press, 2000
  • Mankiewicz, Richard. "Catching Infinity." (fractals) In The Story of Mathematics, pp 147-152. Princeton University Press, 2000
  • Mankiewicz, Richard. "Maths and Modern Art." In The Story of Mathematics, pp 165-172. Princeton University Press, 2000
  • Maor, Eli. "Maurits C. Escher - Master of the Infinite." In To Infinity and Beyond, pp 164-178. Boston: Birkhauser, 1987


The Fourth Dimension

  • Abbott, Edwin A. Flatland: A Romance of Many Dimensions (1880), Dover Thrift Edition. ISBN-10: 048627263X ; ISBN-13: 978-0486272634
    • Online Version: Flatland
    • Online Version with copies of the illustrations: Flatland
  • Heinlein, Robert A. And he built a crooked house ... [1]
  • Peterson, Ivars, A Place in Space. In Fragments of Infinity: A Kaleidoscope of Math and Art pp 35-60 John Wiley & Sons, Inc 2001.


Other:

  • Gethner, Ellen, "On a generalization of a combinatorial problem posed by M.C. Escher," Proceedings of the Thirty-second Southeastern International Conference on Combinatorics, Graph Thory and Computing, v.153, 2001, pp 77-96
  • Mabry, R., Wagon, S. and Schattschneider, D, "Automating Escher's Combinatorial Patterns." Mathematica in Education and Research, vol 5, n0 4 (1996) 38-52
  • Maor, Eli. Discussion of Fractals in "Some Functions and their Graphs." In To Infinity and Beyond, pp 76-82. Boston: Birkhauser, 1987
  • Maor, Eli. "The Mobius Strip." In To Infinity and Beyond, pp 139-148. Boston: Birkhauser, 1987
  • Schattschneider, Doris. "The Polya-Escher Connection" Mathematics Magazine 60 (1987): 293-198
  • Schattschneider, Doris. "Escher's Metaphors" Scientific American 271 (Nov. 1994): 66-71
  • Schattschneider, Doris. "Escher: A mathematician in spite of himself," Structural Topology 15 (1989); reprinted in The Lighter Side of Mathematics,, MAA, 1994
  • Schattschneider, Doris and Dolbilin, N.. "One Corona is Enough for the Euclidean Plane." in Quasicrystals and Discrete Geometry, J. Patera ed., AMS, 1998, pp 193-199 and pp 207-246
  • Smit, B. de, Lenstra Jr, H.W., "The Mathematical Structure of Escher's Print Gallery" In Artful Mathematics: The Heritage of M. C. Escher in AMS Notices 2003. PDF file from the AMS notices

Related Web Sites

Escher Related Sites:

  • [The Official Escher website] On this website you can find information about the use of M.C. Escher's work, a short biography, news, bibliography, links and some fun stuff like a Virtual Ride through some of his works.
  • [Escher in het Paleis] Website of the museum in The Hague, the Netherlands, dedicated to M.C. Escher.
  • [Escher and the Droste effect] Website from Leiden University in the Netherlands. The website aims to visualize the mathematical structure behind Escher's Print Gallery. In this print there is a blank space in the middle and several methods are shown for completing the picture.
  • [Escher in the Classroom] Website by Jill Britton. Great resoource for symmetry and tessellations. Materials accompany her book "Symmetry and Tessellations" (Aimed at Middle School)


Geometry Related Sites:

  • [Jeff Weeks' Geometry Games ] Jeff Weeks’ Topology and Geometry Software. This includes the torus and klein-bottle games, Kali, Kaleidotile and more.
  • [Spherical Easel] Spherical Easel is a program for creating interactive diagrams in spherical geometry.
  • [Non-Euclid] A Java based program that allows one to explore hyperbolic geometry.


Tessellations:


Assorted Topics:

  • [Jackson's Fractals] An article explaining the fratal nature of Jackson Pollock's art. Includes an explanation of fractal dimension.