# Math Circle Meeting on October 17th

## Agenda: Creating a Cardioid

Presenters: Aubrey Rhoden and Kim Moore

### Problem: How can we create a cardioid with a radius of 10 feet on the beach?

Solution: Let there be 36 points labeled 0 to 35 equally spaced on a circle. Connect nth point to Mod [2 n,36] th point. These lines are tangents to a cardioid.

1. Use a stake and rope to create the circle. The stake goes in the middle of the circle.
2. Calculate the circumference of the circle. The circumference would be 62.8 feet or 753 inches.
3. Divide the circumference into 36 equal parts. The stakes need to be 20.9 inches apart.

Creating cardioids and other curves

# Math Circle Meeting on September 26th

## Agenda: Tiling the Plane

Presenter: Kim Moore

New Pentagonal Tiling

Tilings on NPR

The First Fourteen Pentagonal Tilings

What is a Rep-tile?

#### Right Trapezoid Template       Sphinx Template        L Shaped Template

Special Rep-tilings

# Meeting on September 12th, 2015

## Agenda: Golden Spiral

### Golden Ratio Powerpoint

#### A Beautiful New Curve

Golden Ratio Everywhere

Phi and the Solar System