**Labyrinths.** Each of the 25 squares is a rotationally symmetric labyrinth on a
65x65 grid. Each path starts at the upper left and finishes at the
lower right. The labyrinths were created by taking random walks in the
space of all such labyrinths. These were inspired by an idea of Chuck
Hulse.

**Manifold.** The Kazhdan-Lusztig polynomials are a particularly rich family of
polynomials arising from representation theory and the geometry of the
flag manifold that I am attempting to understand combinatorially. This
image depicts the reciprocals of the roots of the 726,636 distinct
Kazhdan-Lusztig polynomials associated to the exceptional Coxeter
group H_4. The positive x-axis is pointing directly up. Shading is
derived from the density of roots.