**Imaginary Geometry **

Flow lines of the Gaussian free field from the bottom to the top of the square.

Light cone construction of an SLE_k with k=16/3 using flow lines of the Gaussian free field

Light cone construction of an SLE_k with k=64 using flow lines of the Gaussian free field. The rho values of the curve are chosen so that it only hits the domain boundary at its initial and terminal points.

SLE_k type curves with k > 4 generated as light cones of SLE_(16/k) type curves coupled together as flow lines of the Gaussian free field. Animations of SLE_128 and the reversible version of SLE_128.

Space filling SLE_k with k=6. Related animation.