# Math Circles Meeting: May 10th, 2014

## Problem

Put 4 integers on the corners of a square. At the midpoint of each side put the positive difference of the numbers at the corners. Connect the midpoints to form a new square. Repeat this process until it terminates. What do you notice? Do you think this happens no matter what numbers you put on the 4 corners? Repeat this process with a triangle. Now what do you think about your conjecture about the square? Repeat this process for an N-gon (a polygon with N sides). For which N’s does the process behave like a square? For which does it behave like the triangle? Prove your conjectures.

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# Math Circles Meeting: March 29th, 2014

The 4th meeting of the Islander Math Circles, Spring 2014

## Further Exploration

• How does the NCAA Division I Basketball Committee create its brackets?
• Are there other factors you would consider if you were making a bracket?

# Math Circles Meeting: March 8th, 2014

The 3rd meeting of the Islander Math Circles, Spring 2014

## Improving Archimedes

Improving Archimedes Method

Circle with inscribed and circumscribed hexagon

Archimedes’ Process

Interactive of Archimedes’ Method

## Buffon’s Needles

Gif of Buffon’s Needles

# Math Circles Meeting: February 1st, 2014

The 2nd meeting of the Islander Math Circles, Spring 2014

Facilitators: Alex Sadovski, Sarah Ives, Kim Moore, George Tintera

Problem Sets

# Math Circles Meeting: January 18th, 2014

The 1st meeting of the Islander Math Circles, Spring 2014

Facilitators: Sarah Ives, Kim Moore, George Tintera

## Agenda:  Frieze Patterns and Fruit Roll Ups

What does Sponge Bob need to learn about math?

http://www.khanacademy.org/embed_video?v=gBxeju8dMho

### What math can you learn while eating fruit roll ups?

http://www.khanacademy.org/embed_video?v=Am-a5x9DGjg

Frieze Patterns Practice

Doodling in Math and More

Problem Sets