Cards of three colors are dealt in a row of size n. The cards are then continually dealt into rows above each other of size n-1, n-2, n-3, … until the row of size 1 is reached. The cards must be placed following 2 rules. One, if two cards, adjacent cards, from the previous row share the same color, the card above them must be that color as well. Two, if two adjacent cards are different colors, the card above them must be of the third color. These cards form a “mysterious triangle.” We want to know how we could predict the color of the apex card of the triangle without dealing out all the cards. Using Sierpinski Triangles, mod 3 arithmetic, and fractals, we will figure out exactly that.
Jones, M. A., Mitchell, L., Shelton, B. “Fractals and Mysterious Triangles.” Math Horizons.September 2015. pp 22-25.
Math 450 Presents
"Fractals and Mysterious Triangles"
by: Shelbey Linder
Tuesday, October 20, 2015, 1:40 p.m.
in Patterson 301
Come join us! All are welcome.