Doris Schattschneider
   HOME

TheInfoList



OR:

Doris J. Schattschneider (née Wood) is an American mathematician, a retired professor of mathematics at Moravian College. She is known for writing about
tessellation A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called ''tiles'', with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety ...
s and about the art of
M. C. Escher Maurits Cornelis Escher (; ; 17 June 1898 – 27 March 1972) was a Dutch graphic artist who made woodcuts, lithography, lithographs, and mezzotints, many of which were Mathematics and art, inspired by mathematics. Despite wide popular int ...
,.. for helping
Martin Gardner Martin Gardner (October 21, 1914May 22, 2010) was an American popular mathematics and popular science writer with interests also encompassing magic, scientific skepticism, micromagic, philosophy, religion, and literatureespecially the writin ...
validate and popularize the pentagon tiling discoveries of amateur mathematician Marjorie Rice, and for co-directing with Eugene Klotz the project that developed
The Geometer's Sketchpad The Geometer's Sketchpad is a commercial interactive geometry software program for exploring Euclidean geometry, algebra, calculus, and other areas of mathematics. It was created as part of the NSF-funded Visual Geometry Project led by Eugene Kl ...
.


Biography

Schattschneider was born in
Staten Island Staten Island ( ) is the southernmost of the boroughs of New York City, five boroughs of New York City, coextensive with Richmond County and situated at the southernmost point of New York (state), New York. The borough is separated from the ad ...
; 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 New York, often called New York City (NYC), is the most populous city in the United States, located at the southern tip of New York State on one of the world's largest natural harbors. The city comprises five boroughs, each coextensive w ...
Bureau of Bridge Design.. Her family moved to
Lake Placid, New York Lake Placid is a Administrative divisions of New York#Village, village in the Adirondack Mountains in Essex County, New York, Essex County, New York (state), New York, United States. In 2020, its population was 2,205. The village of Lake Placid ...
during
World War II World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
, 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. She did her undergraduate studies in mathematics at the
University of Rochester The University of Rochester is a private university, private research university in Rochester, New York, United States. It was founded in 1850 and moved into its current campus, next to the Genesee River in 1930. With approximately 30,000 full ...
, and earned a Ph.D. in 1966 from
Yale University Yale University is a Private university, private Ivy League research university in New Haven, Connecticut, United States. Founded in 1701, Yale is the List of Colonial Colleges, third-oldest institution of higher education in the United Stat ...
under the joint supervision of Tsuneo Tamagawa and Ichirô Satake with the thesis, ''Restricted Roots of a Semi-simple Algebraic Group''. She taught at
Northwestern University Northwestern University (NU) is a Private university, private research university in Evanston, Illinois, United States. Established in 1851 to serve the historic Northwest Territory, it is the oldest University charter, chartered university in ...
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. She was the first female editor of '' Mathematics Magazine'', from 1981 to 1985. 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.


Schattschneider and Marjorie Rice

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 Martin Gardner (October 21, 1914May 22, 2010) was an American popular mathematics and popular science writer with interests also encompassing magic, scientific skepticism, micromagic, philosophy, religion, and literatureespecially the writin ...
. 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. 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. Reprinted as ''Mathematical Recreations: A Collection in Honor of Martin Gardner'', Mineloa, NY: Dover, 1998 In 1995, at a regional meeting of the 
Mathematical Association of America The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university A university () is an educational institution, institution of tertiary edu ...
 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."


Awards and honors

Schattschneider won the
Mathematical Association of America The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university A university () is an educational institution, institution of tertiary edu ...
's Carl B. Allendoerfer Award for excellence in expository writing in ''Mathematics Magazine'' in 1979, for her article "Tiling the plane with congruent pentagons". In 1993, she received the Deborah and Franklin Haimo Award for Distinguished College or University Teaching of Mathematics. In 2012, she became a fellow of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
. She delivered the Martin Gardner Lecture at MathFest in August 2021.


Selected publications

;Books *''
M. C. Escher Maurits Cornelis Escher (; ; 17 June 1898 – 27 March 1972) was a Dutch graphic artist who made woodcuts, lithography, lithographs, and mezzotints, many of which were Mathematics and art, inspired by mathematics. Despite wide popular int ...
Kaleidocycles'' (with Wallace Walker), Ballantine Books, 1977, Pomegranate Artbooks and TACO, 1987, Taschen 2015 *''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) *''A Companion to Calculus'' (with Dennis Ebersole, Alicia Sevilla, and Kay Somers, Brooks/Cole, 1995). ;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 *; :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. *. *; :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


References


Further reading

*. {{DEFAULTSORT:Schattschneider, Doris 1939 births Living people 20th-century American mathematicians 21st-century American mathematicians Mathematics popularizers University of Rochester alumni Yale University alumni Moravian University faculty Fellows of the American Mathematical Society People from Staten Island 20th-century American women mathematicians 21st-century American women mathematicians Mathematicians from New York (state)