"It blew my mind. 4-D. Wow." From January to March, come to our tuition-free 9-week on-campus program. This year, we will explore... the world of mathematical finance, geometry - unlike you've seen it before and quantum information theory "Math Circle was a fun and interesting experience for me. ... Whether I was working alone or in a group, the process of discovery was rewarding." Our students gain exposure to the process of conjecture and proof, learn to think critically about ideas presented, and develop skills for articulating mathematical concepts. Contact information Email: mathcircle@math.ucdavis.edu Phone: Monday-Friday (business office): (530) 752-0827

Now accepting applications! Go to our website's online application form The application takes 5 minutes. Everyone is welcome. 2012 Classes: Mathematical Finance, Geometry, and Quantum Information Theory.

Visit our website for: class descriptions, instructor bios, and our math problem list.

Don't forget to check out our featured problem on the back.

"Not all organizations with access to this distribution network are required to abide by anti-discrimination statues. Parents are encouraged to contact the activity sponsor directly if they have questions"

Featured problem:

Drawing random points in the Sierpinski Gasket

Draw a triangle.

Pick a vertex (pink circle).

(a) Draw a point there.
(b) Pick another vertex (pink circle).
(c) Find the point half way between that vertex and the point you just drew.
(d) Draw a point there. Proceed to step (b).

You will only ever draw points in the Sierpinski Gasket. Why?

The Sierpinski Gasket

Step (1)

The Sierpinski Gasket is the set of points that are leftover after the following process.

(1) Start with a solid equilateral triangle.
(2) Take the triangle whose vertices are the midpoints of the boundary edges, and remove its interior.
(3) Repeat step (2) with all of the remaining triangles.

After step (2)

After step (3)

Repeating steps (2) and (3).

If you have any thoughts or questions about this, we encourage you to contact us.
... and if you found this problem interesting, you should join our Saturday workshops!