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In Euclidean geometry, a kite is a quadrilateral with reflection symmetry across a diagonal. Because of this symmetry, a kite has two equal angles and two pairs of adjacent equal-length sides. Kites are also known as deltoids, but the word deltoid may also refer to a deltoid curve, an unrelated geometric object sometimes studied in connection with quadrilaterals. A kite may also be called a dart, particularly if it is not convex.
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 of geometries.
Marjorie Ruth Rice was an American amateur mathematician most famous for her discoveries of pentagonal tilings in geometry.
Branko Grünbaum was a Croatian-born mathematician of Jewish descent and a professor emeritus at the University of Washington in Seattle. He received his Ph.D. in 1957 from Hebrew University of Jerusalem in Israel.
In geometry, the elongated triangular tiling is a semiregular tiling of the Euclidean plane. There are three triangles and two squares on each vertex. It is named as a triangular tiling elongated by rows of squares, and given Schläfli symbol {3,6}:e.
In geometry, a Cairo pentagonal tiling is a tessellation of the Euclidean plane by congruent convex pentagons, formed by overlaying two tessellations of the plane by hexagons and named for its use as a paving design in Cairo. It is also called MacMahon's net after Percy Alexander MacMahon, who depicted it in his 1921 publication New Mathematical Pastimes. John Horton Conway called it a 4-fold pentille.
In geometry, a pentagonal tiling is a tiling of the plane where each individual piece is in the shape of a pentagon.
Jennifer Tour Chayes is dean of the college of computing, data science, and society at the University of California, Berkeley. Before joining Berkeley, she was a technical fellow and managing director of Microsoft Research New England in Cambridge, Massachusetts, which she founded in 2008, and Microsoft Research New York City, which she founded in 2012.
Doris J. Schattschneider 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, for helping Martin Gardner 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.
Zvezdelina Entcheva Stankova is an American mathematician who is a professor of mathematics at Mills College and a teaching professor at the University of California, Berkeley, the founder of the Berkeley Math Circle, and an expert in the combinatorial enumeration of permutations with forbidden patterns.
Camille Althea McKayle is an Afro-Jamaican-American mathematician and is the current Provost of the University of the Virgin Islands (UVI). She holds a PhD in mathematics from Lehigh University and taught undergraduates at Lafayette College and UVI from 1993 to 2008.
Rachel Levy is an American mathematician and blogger. She currently serves as the inaugural Executive Director of the North Carolina State University Data Science Academy. She was a 2020-21 AAAS Science and Technology Policy Fellow, serving in the United States Senate and sponsored by the American Mathematical Society. From 2018-2020 she served as deputy executive director of the Mathematical Association of America(2018-2020). As a faculty member at Harvey Mudd College from 2007-2019 her research was in applied mathematics, including the mathematical modeling of thin films, and the applications of fluid mechanics to biology. This work was funded by The National Science Foundation, Research Corporation, Howard Hughes Medical Institute, and US Office of Naval Research.
Casey Mann is an American mathematician, specializing in discrete and computational geometry, in particular tessellation and knot theory. He is Professor of Mathematics at University of Washington Bothell, and received the PhD at the University of Arkansas in 2001.
Pamela Estephania Harris is a Mexican-American mathematician, educator and advocate for immigrants. She is currently an associate professor at the University of Wisconsin-Milwaukee in Milwaukee, Wisconsin, was formerly an associate professor at Williams College in Williamstown, Massachusetts and is co-founder of the online platform Lathisms. She is also an editor of the e-mentoring blog of the American Mathematical Society (AMS).
Jenna P. Carpenter is the Founding Dean and Professor of Engineering at Campbell University. She was on the faculty at Louisiana Tech University for twenty-six years, where she was most recently the Associate Dean for Undergraduate Studies and Wayne and Juanita Spinks Professor of Mathematics in the College of Engineering and Science. She became the Founding Dean of Engineering and Professor of Engineering at Campbell University in 2015. She researches the importance of diversity in STEM fields, mainly focusing on women, as well as innovative STEM curricula.
Kathleen Rose Kavanagh is an American applied mathematician whose research involves simulation-based engineering, particular for problems involving air quality, water quality, and sustainable irrigation. She is a professor of mathematics at Clarkson University, and a director of the New York State Education IMPETUS for Career Success providing science enrichment for middle and high school students in three counties of New York State.. Kavanagh is also the associate director for the Institute for STEM Education at Clarkson University.
The Henry L. Alder Award for Distinguished Teaching is a national award established in 2003 by the Mathematical Association of America. The award is presented to beginning college or university mathematics faculty members to recognize success and effectiveness in undergraduate mathematics education, as well as an impact that extends beyond the faculty member's own classroom. Up to three college or university teachers are recognized each year, receiving a $1,000 award and a certificate of recognition from the MAA.
Alicia Prieto Langarica is an American applied mathematician and professor of mathematics at Youngstown State University.
References
- 1 2 "Dr. Jennifer McLoud-Mann, Professor", Faculty Mentor Biographies, UWB Math REU Program, University of Washington Bothell, December 11, 2014, retrieved June 8, 2018
- 1 2 3 Mulcahy, Colm (October 28, 2015), Martin Gardner at 101 ("It's as not-so-easy as 3, 4, 5"), Scientific American
- 1 2 Native Americans in STEM Disciplines (PDF), The Oklahoma Louis Stokes Alliance for Minority Participation, Oklahoma State University, retrieved June 8, 2018
- ↑ Siegel, Robert; Rehmeyer, Julie (August 14, 2015), Scientists Discover 15th Convex Pentagon Able To Tile A Plane, NPR
- ↑ "Attack on the pentagon results in discovery of new mathematical tile", Mathematics: Alex Bellos's Adventures in Numberland, The Guardian , August 11, 2015
- ↑ Freeman, David (August 19, 2015), "Historic 'Tile' Discovery Gives Math World A Big Jolt: It's the first such find in 30 years", Huffington Post
- ↑ Honner, Patrick (December 11, 2017), "The (Math) Problem With Pentagons", Quanta Magazine
- 1 2 Jennifer McLoud-Mann, Associate Dean; Professor, University of Washington Bothell , retrieved June 8, 2018
- 1 2 Curriculum vitae (PDF), retrieved June 8, 2018
- ↑ Jennifer McLoud-Mann at the Mathematics Genealogy Project
- 1 2 "UW Bothell team makes discovery that rocks the math world". Bothell-Kenmore Reporter. August 19, 2015. Retrieved September 15, 2020.
- ↑ "With Discovery, 3 Scientists Chip Away At An Unsolvable Math Problem". NPR.org. Retrieved September 15, 2020.
- ↑ "Mathematicians Discover 15th Pentagon That Can Tile the Plane". Science, Space and Robots. Retrieved September 15, 2020.
- ↑ Henry L. Alder Award, Mathematical Association of America, archived from the original on February 14, 2021, retrieved June 8, 2018
- ↑ "Distinguished research award to McLoud-Mann". University of Washington Bothell. April 2016. Retrieved September 15, 2020.
