There is also a summer camp opportunity. The details from the site are below.
Coming January 2013: Apply to Brilliant Summer Camp
Students who can demonstrate significant progress on independent academic work will be encouraged to apply to Brilliant Summer Camp, a full scholarship 8-day program for 40 students. Accepted students will be matched with world-class mentors who will work closely with them to develop advanced independent projects. The camp will be hosted on or near the Stanford University campus.
To learn more visit http://brilliant.org/ and scroll to the bottom of the page.