# Julia Robinson Math Festival

A twist on the game of Dots and Boxes – but instead of capturing as many squares as possible, you and your opponent are going after gold doubloons!

A simple game of strategy, where each player attempts to claim spaces to form an unbroken chain between opposite sides of the board. (See attached image for an example.)

Let your inner artist out, to paint a canvas using colored rectangles. But watch out: there are a few catches.

Try to find patterns that allow you to predict colors that will appear in rows of dots. Each row is produced from the one above it, following simple rules.

In Evenland, the citizens never invented the number one; instead, they started with 2, and built up sums and products from that starting point. What can we say about prime numbers in Evenland?

How fast can the cookie monster eat all of the cookies, if he must follow some simple rules?

How many sheep can you place on a field, so that none can be attacked by the simple-minded wolf? What if there's more than one wolf?

In how many ways can you draw a star using all the vertices of a polygon, without lifting your pencil from the paper? Are there some polygons for which it's not possible?

Santa Fe Community College

Jemez Room

6401 Richards Ave.

Santa Fe, NM 87508

On February 24^{th}, STEM Santa Fe, Santa Fe Community College, and Math Circles Collaborative of New Mexico held New Mexico's first Julia Robinson Mathematics Festival.

Fold a long strip of paper in half several times. Can you see a pattern in the creases formed along the length of the paper? What sorts of route do we trace if we use the creases to direct our turns along a path?