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**Doris J. Schattschneider** (née Wood) is an American mathematician, a retired professor of mathematics at Moravian College. She is known for writing about tessellations and about the art of M. C. Escher,^{[1]}^{[2]} for helping Martin Gardner validate and popularize the pentagon tiling discoveries of amateur mathematician Marjorie Rice,^{[3]} and for co-directing with Eugene Klotz the project that developed The Geometer's Sketchpad.^{[1]}^{[2]}^{[4]}

Doris Schattschneider | |
---|---|

Born | October 19, 1939 | (age 85)

Nationality | American |

Alma mater | Yale University |

Scientific career | |

Fields | Mathematics |

Institutions | Moravian College |

Thesis | Restricted Roots of a Semi-simple Algebraic Group (1966) |

Doctoral advisor | Tsuneo Tamagawa Ichirô Satake |

Schattschneider was born in Staten Island; her mother, Charlotte Lucile Ingalls Wood, taught Latin and was herself the daughter of a Staten Island school principal, and her father, Robert W. Wood, Jr., was an electrical engineer who worked for the New York City Bureau of Bridge Design.^{[5]} Her family moved to Lake Placid, New York during World War II, while her father served as an engineer for the U. S. Army; she began her schooling in Lake Placid, but returned to Staten Island after the war.^{[5]} She did her undergraduate studies in mathematics at the University of Rochester, and earned a Ph.D. in 1966 from Yale University under the joint supervision of Tsuneo Tamagawa and Ichirô Satake with the thesis, *Restricted Roots of a Semi-simple Algebraic Group*.^{[2]}^{[6]} She taught at Northwestern University for a year and at the University of Illinois at Chicago Circle for three years before joining the faculty of Moravian College in 1968, where she remained for 34 years until her retirement.^{[2]}^{[7]} She was the first female editor of *Mathematics Magazine*, from 1981 to 1985.^{[1]}^{[2]}

She was married for 54 years to the Rev. Dr. David A. Schattschneider (1939-2016), a church historian and Dean of Moravian Theological Seminary; their daughter Laura Ellen Schattschneider is a lawyer.

Marjorie Rice was an amateur mathematician and San Diego mother of five who became fascinated by Martin Gardner's descriptions of tessellations by pentagonal tiles in Scientific American. She investigated, and devising her own notation system, had found a previously unknown type of pentagon tiling by February 1976. She drew up several tessellations by these new pentagon tiles and mailed her discoveries to Martin Gardner. He, in turn, sent Rice's work to Schattschneider, who was an expert in tiling patterns. Schattschneider was skeptical at first, but upon careful examination, was able to validate Rice's results.^{[8]} Schattschneider not only helped Martin Gardner publicize the pentagon tilings discoveries of Rice, but lauded her work as a significant discovery by an amateur mathematician.^{[9]}^{[10]}

In 1995, at a regional meeting of the Mathematical Association of America held in Los Angeles, Schattschneider convinced Rice and her husband to attend her lecture on Rice's work. At the conclusion of the talk, Schattschneider introduced the amateur mathematician who had advanced the study of tessellation. "And everybody in the room . . . gave her a standing ovation."^{[8]}^{[11]}

Schattschneider won the Mathematical Association of America's Carl B. Allendoerfer Award for excellence in expository writing in *Mathematics Magazine* in 1979, for her article "Tiling the plane with congruent pentagons".^{[5]}^{[12]}

In 1993, she received the Deborah and Franklin Haimo Award for Distinguished College or University Teaching of Mathematics.^{[13]}^{[1]}^{[2]}^{[14]}

In 2012, she became a fellow of the American Mathematical Society.^{[15]}

She delivered the Martin Gardner Lecture at MathFest in August 2021.^{[16]}

- Books

*M. C. Escher Kaleidocycles*(with Wallace Walker), Ballantine Books, 1977, Pomegranate Artbooks and TACO, 1987, Taschen 2015^{[17]}*Visions of Symmetry: Notebooks, Periodic Drawings, and Related Work of M. C. Escher*(W. H. Freeman, 1990, 1992;

- Revised as
*M. C. Escher: Visions of Symmetry*, Harry N. Abrams, 2004)^{[18]}^{[19]}^{[20]}^{[21]}

*A Companion to Calculus*(with Dennis Ebersole, Alicia Sevilla, and Kay Somers, Brooks/Cole, 1995)^{[22]}

- Edited volumes

*Geometry Turned On!: Dynamic Software in Learning, Teaching, and Research*(with James King, Cambridge University Press, 1997)*M.C. Escher's Legacy: A Centennial Celebration*(with Michelle Emmer, Springer, 2003)

- Articles

- Schattschneider, Doris (1978), "Tiling the plane with congruent pentagons" (PDF),
*Mathematics Magazine*,**51**(1): 29–44, doi:10.2307/2689644, JSTOR 2689644;

- Reprinted with Afterword in The Harmony of the World: 75 Years of Mathematics Magazine, eds. G. Alexanderson and P. Ross, Math. Assoc. of Amer., Washington DC, 2007, pp. 175-190.

- Schattschneider, Doris (1978), "The plane symmetry groups: Their recognition and notation",
*The American Mathematical Monthly*,**85**(6): 439–450, doi:10.1080/00029890.1978.11994612, JSTOR 2320063. - Schattschneider, Doris (1981), "In praise of amateurs", in Klarner, David A. (ed.),
*The Mathematical Gardner*, Boston: Prindle, Weber & Schmidt, pp. 140–166;

- Reprinted as
*Mathematical Recreations: A Collection in Honor of Martin Gardner*, Dover Publications, New York, 1998.

- Schattschneider, Doris (1998), "One Corona is Enough for the Euclidean Plane," coauthor Nikolai Dolbilin. In Quasicrystals and Discrete Geometry (J. Patera, editor). Fields Institute Monographs, Vol. 10, AMS, Providence, RI, 1998, pp. 207–246.

- Accompanying web site: Catalog of Isohedral Tilings by Symmetric Polygonal Tiles

- ^
^{a}^{b}^{c}^{d}*2005 Parson Lecturer - Dr. Doris Schattschneider*, University of North Carolina at Asheville, Department of Mathematics, archived from the original on 2014-01-11, retrieved 2013-07-13. - ^
^{a}^{b}^{c}^{d}^{e}^{f}Riddle, Larry (April 5, 2013),*Doris Schattschneider*, Biographies of Women Mathematicians, Agnes Scott College, retrieved 2013-07-13. **^**Cole, K. C. (March 11, 1998), "Beating the Pros to the Punch",*Los Angeles Times*.**^**Scher, Daniel (Summer 2000), "Lifting the curtain: The evolution of The Geometer's Sketchpad" (PDF),*Mathematics Educator*,**10**(2): 42–48, archived from the original (PDF) on 2014-02-11, retrieved 2013-07-14.- ^
^{a}^{b}^{c}Brunner, Regina Baron (1998), "Doris Wood Schattschneider", in Morrow, Charlene; Perl, Teri (eds.),*Notable Women in Mathematics: A Biographical Dictionary*, Greenwood Press, pp. 214–219, ISBN 9780313291319. **^**Doris Schattschneider at the Mathematics Genealogy Project**^**Author biography from "Tiling the Plane with Congruent Pentagons",*Mathematics Magazine*, 1978.- ^
^{a}^{b}Cole, K. C. (March 11, 1998). "Beating the Pros to the Punch".*Los Angeles Times*. p. 1. ProQuest 421258615. Archived from the original on November 6, 2015. **^**Schattschneider, Doris (1981). "In Praise of Amateurs". In Klarner, David A. (ed.).*The Mathematical Gardner*(PDF). Boston: Prindle, Weber & Schmidt. pp. 140–166. doi:10.1007/978-1-4684-6686-7_16. ISBN 978-1-4684-6688-1. Archived from the original (PDF) on July 26, 2020. Reprinted as*Mathematical Recreations: A Collection in Honor of Martin Gardner*, Mineloa, NY: Dover, 1998**^**Schattschneider, Doris (Spring 1996). "Perplexing Pentagons".*Discovering Geometry Newsletter*.**7**(1). OCLC 1001465604. Archived from the original on August 13, 2016.**^**Schattschneider, Doris (2017). "Marjorie Rice (16 February 1923–2 July 2017)".*Journal of Mathematics and the Arts*.**12**(1): 51–54. doi:10.1080/17513472.2017.1399680.**^***The Mathematical Association of America's Carl B. Allendoerfer Award*, archived from the original on 1999-09-09, retrieved 2013-07-13.**^**"Recipients of the Deborah and Franklin Tepper Haimo Award for Distinguished College or University Teaching of Mathematics; Mathematical Association of America".*www.maa.org*. Archived from the original on 2024-06-08.**^**"Moravian professor gets math teaching award",*The Morning Call*, April 8, 1993.**^**List of Fellows of the American Mathematical Society, retrieved 2013-07-13.**^**"Invited Addresses | Mathematical Association of America".*www.maa.org*. Retrieved 2021-06-04.**^**Dembart, Lee (May 27, 1988), "Book Review: Art Meets Math in 'Kaleidocycles'",*Los Angeles Times*.**^**Brooks, David (2 December 1990), "Escher: Unusual marriage of art and mathematics. Author explores inspiration behind the geometrical work",*The Sunday Telegraph*.**^**"Review: Paper patterns of complexity",*New Scientist*, 21 November 1992.**^**Solomon, Charles (December 6, 1992), "A season's treasures: Paperbacks from east to west",*Newsday*.**^**"Ever so plane and beautiful",*Times Higher Education*, 14 January 2005.**^**Martin, John P. (December 18, 1993), "Calculus Made Easier: Professors Publish Book To Aid Students",*The Morning Call*.

- Schroeder, Tom (June 11, 1992), "Math Professor's Watchword: Visual",
*The Morning Call*.