Constructing a Hyper-Cube
Pam Pospisil
We will be constructing a 3-dimensional "picture" of a hypercube
(a 4-dimensional cube) by considering the progression from 0 to 3
dimensions, and extending a pattern.
Math and Magic
John Maceli
Lots of magic tricks are based on mathematical principles. This
session will illustrate some interesting magic tricks and the
mathematics behind them.
Sudoku
Stan Seltzer
Two or three tricks will make solving many Sudoku puzzles quick
and easy. Learn these and more.
Playing with Polyhedra
Kelly Delp
We'll build some polyhedra out of an unusual building material
which raises some interesting combinatorial challenges.
Participants will be able to take their constructions with them.
The Sound of Fibonacci:
Connecting Pi, Phi and I.
Dani Novak
In the presentation you will explore a connection between the
Fibonacci sequence and sound patterns. You will also experience
a geometrical connection between Fibonacci numbers in higher
dimensions which will lead to a formula that connects two famous
numbers: Pi and Phi. I will enter the scene at the end of the show.
Mathematical Puzzles
Ted Galanthay
Stre . . . tch your mind, and try to solve some classic puzzles
motivated by mathematics.
Flexagons
Matt Thomas
By cleverly folding strips of paper, we can create curious
geometric objects - flat shapes with more than three sides as they
unfold.
How to Color the Mobius Strip
Erin Jolley
The Mobius strip is an interesting and puzzling mathematical
object. We will explore some of the properties of the Mobius strip
and perform some hands on experiments.
Turtle Recursion
Angela Peng
Turtle recursion applies math to illustrate the progression of a
recursive definition. We will explore a recursive sequence whose
terms are defined as left and right turns. Turtle recursion can
be helpful for understanding a recursive process or generate
remarkable even fractal-like images.
Note: Angie attended Math Day as a high school student. Now,
her undergraduate research is providing the image for our shirts.
Card Shuffling: 1093, 3511, what’s next?
John Rosenthal
We describe a systematic way to shuffle a deck with an even
number of cards and discover that after some number of repetitions
of this systematic shuffle, the deck is restored to the original order.
We discuss a variety of methods of determining this number of
shuffles. Note that this exploration takes the full hour and will be
held in the Klingenstein Lounge.
Enrollment limit: 12 students. Please sign up at registration.
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Mathematical Problem Solving
in Board Games
April Leitner
Problem solving in the real world requires in-depth analysis,
strategizing, and even learning from our mistakes - all essential
skills that we develop while enjoying board games! Come spend an
hour learning the rules and strategies of simple yet still complex
games such as Pentago and Othello that challenge our minds to
explore problems from every angle and employ reasoning and
creativity in striving towards success. Note that this exploration
takes the full hour and will be held in the Klingenstein Lounge.
Enrollment limit: 16 students. Please sign up at registration.
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