# Riverbend Research Teams

Our Research Teams meet online, and are designed for older students who want to take a deep dive into a single topic, learn the LaTeX language in which most math papers and books are published, and improve their mathematical writing skills. Exceptional amounts of focus, determination, and patience are required, and we assume that participants are familiar with the content of High School Algebra. If you are interesting in joining, contact Amanda Serenevy directly at amanda@riverbendmath.org

Typical Ages: middle and high school students

## Investigations from past Research Teams

Smarties Sandwiches
What is the probability of getting a "sandwichable" roll of Smarties candies?

Exploding and Collapsing Boxes
We have heard of base ten, base two, and base sixteen, but is it possible to make sense of base three halves?

Three-sided Cylindrical Dice
How can we construct a fair three-sided cylindrical die?

For example, a "short" cylinder will almost always land on one of the ends and rarely on the side. A tall cylinder will almost always land on its side and rarely on an end. How should we construct the die so that if we label the ends with "1" and "2" and the side with "3" each number will have an equal chance of coming up?

Emptying the Atlantic Ocean with a Thimble
How many thimbles of water would it take to empty the Atlantic Ocean?

Extension of James Tanton's Intersection Math Problem
We extended James Tanton's Intersection Math Problem counting the intersections of a bipartite graph to a tripartite graph.

Riverbend Community Math Center
hello@riverbendmath.org
http://riverbendmath.org
(574) 339-9111
This work placed into the public domain by the Riverbend Community Math Center.