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.
- Use a stake and rope to create the circle. The stake goes in the middle of the circle.
- Calculate the circumference of the circle. The circumference would be 62.8 feet or 753 inches.
- Divide the circumference into 36 equal parts. The stakes need to be 20.9 inches apart.
Formula for a cardioid:
X= a cos t (1 – cos t)
Y= a sin t (1- cos t)