This page was last updated Mar 11, 2015.
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Poughkeepsie Chapter of the Association For Computing Machinery
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Program: Minimal Angular Determinations for Convex Polygons
Speaker: Dr. Donald Silberger, firstname.lastname@example.org
About the Program:
At each of the n vertices of a convex n-gon there are exactly
(n-1)(n-2) angles. So the set A(n) of all "vertex-jointed"
angles of such an n-gon is of size n(n-1)(n-2)/2. By an
"angular determination" for the set U(n) of all convex n-gons
we mean any subset B of A(n) such that every two convex n-
gons whose angle sizes agree throughout B will agree throughout
A(n); i.e., the two n-gons will be similar in the usual
Euclidean sense. We study the mads for U(n) and for
interesting subsets of U(n), where the word "mad" is acronymic
for "minimal angular determination".
Main Theorem: Every mad for U(n) contains exactly 2n-4 angles.
In 2010, a paper by Disser, Mihalak, and Widmeyer showed that
knowing the sizes of all n(n-1)(n-2)/2 angles of a plane (not
necessarily convex) n-gon enables the construction of a similar
n-gon. Their paper alludes to others apparently authored by
roboticists and other computer scientists.
About the Speaker:
Donald Silberger is an Emeritus in the SUNY-NewPaltz
Mathematics Department, and a retired Head of its Graduate
Program. He received his AB in physics from Harvard, and his MS
and PhD in mathematics from the University of Washington. He has
taught a total of two years in high school and fifty years in
colleges and universities in the Americas. He has directed 14
Masters theses, several of which resulted in papers that appeared
in the research literature. He has published with a large number
of his colleagues and students. Thus far, three dozen of his
articles occur in refereed journals, and -- at age 85 -- he is
still producing new results. All of his work deals with down-to-
earth questions, which can be understood by a serious listener
with little advanced mathematical background; he seeks live
collaborators of all ages. His main mathematical interests
include algebra, logic, number theory, combinatorics, topology,
graph theory, and elementary Euclidean geometry.
When: 7:30 pm, Monday, March 16, 2015
Where: Presentation Room (2d floor, Rm 2023)
Hancock Center, Marist College
Directions: Building 15 on the map at
Parking: You can park at black dot Number 27 on the map at
www.marist.edu/welcome/map.html or in the lot east
of Route 9, southeast of the former Main Entrance.
Cost: Free and open to the public
Dinner: 6 pm, Palace Diner, 845.473.1576
Map and menu: www.thepalacediner.com
All are welcome to join us for dinner.
We thank Marist College for hosting the chapter's meetings.
Refreshments are served after the meeting. For further
information, email email@example.com or call 845.522.1971.
P - L - E - A - S - E P - O - S - T
Site Map. This page is located on the web at http://pok.acm.org.