# Colloquium Topics

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• ## 2021

### The Art Gallery Theorem

Sadly, thieves and visitors with sticky fingers require art galleries to guard their paintings, sometimes with surveillance cameras. Suppose an art gallery is bounded by a single polygonal closed curve; however, it could have lots of nooks and crannies. Because of the possibility of strange indentations and extensions, multiple cameras may be required in order to view the whole gallery. The question is, "How many cameras are necessary if the room has n straight walls?" This question was answered less than 50 years ago, but several related questions remain unanswered to this day.

### Life Story and World Affairs

Gail Burrill July 9, 4:00-5:15 PMMathematics is Awesome

What are some things in mathematics you find fascinating? We’ll explore some of these from your perspectives as well as mine. We will also spend time investigating how mathematics and data can help us understand some things about the world in which we live.

### Triangular Reptiles

For a whole number k, a  k-reptile  is a shape in the plane that can be exactly covered with k congruent copies of a tile that is similar to the original shape.  Using midpoints of the sides, a triangle is tiled by 4 congruent triangles, each similar to the original.  That is:  Any triangle is a 4-reptile.  It is also a 9-reptile and a 16-reptile.  Could some triangle be a 3-reptile?  For which  k  is it possible for some triangle to be a k-reptile?

• ## 2019

2019 HSMC Colloquium Topics

• Adam Lowrance - To Knot or Not to Knot
• Michael Starbird - Cake Cutting for Greedy People
• Admiral Bob Inman - Life Experiences and Lessons Learned
• Miriam Kuzbary - The Shape of Things - Organizing Space using Algebra
• Dan Shapiro - Roations
• Joel Spencer - Asymptopia
• Stephen McAdam - The Greatest Invention in the World