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.
Creating cardioids and other curves
Formula for a cardioid:
X= a cos t (1 – cos t)
Y= a sin t (1- cos t)
Facilitator: Aubrey Rhoden and Kim Moore
Agenda: Stochasticity and Coin Flipping
Let’s Do an Experiment!
A Close Look at the Results
What is the largest number of heads you had in a row?
What is the largest number of tails you had in a row?
What is the probability of getting 2 heads in a row?
What is the probability of getting 3 heads in a row?
What is the probability of getting 4 heads in a row?
What is the probability of getting a string of 7 heads or 7 tails if you flip a coin 100 times?
Facilitator: Dr. Frank Sottile
Agenda: Hyperbolic Soccer Ball
Template for Center of Ball Template for Side of Ball
What are the properties of parallel lines in hyperbolic geometry?
What are the properties of triangles in hyperbolic geometry?