  We give a diagrammatic presentation for the category of Soergel bimodules for
the dihedral group W . The (two-colored) Temperley-Lieb category is embedded
inside this category as the degree 0 morphisms between color-alternating
objects. The indecomposable Soergel bimodules are the images of Jones-Wenzl
projectors. When W is infinite, the parameter q of the Temperley-Lieb algebra
may be generic, yielding a quantum version of the geometric Satake equivalence
for sl(2). When W is finite, q must be specialized to an appropriate root of
unity, and the negligible Jones-Wenzl projector yields the Soergel bimodule for
the longest element of W .
