  We present new supersymmetric solutions of the Dirac-Born-Infeld equations
for time-independent D2-branes, including a 1/2 supersymmetric `dyonic'
D2-brane and various 1/4 supersymmetric configurations that include `twisted'
supertubes, superfunnels with arbitrary planar cross-section, asymptotically
planar D2-branes, and non-singular intersections of `magnetic' D2-branes. Our
analysis is exhaustive for D2-branes in three space dimensions.
