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We have constructed a numerical code for 3D numerical relativity with which we can investigate black hole formation processes for a wide variety of problems. We adopt a standard 3+1 formalism for the evolution of geometric variables incorporating a swarm of collisionless particles as a source of the energy momentum tensor. In order to determine black hole formation, we also incorporate an apparent horizon finder which was recently developed. Assuming triplane symmetries with respect to x-y, y-z and z-x planes, we have performed a variety of simulations for black hole formation, such as the collapse of triaxial ellipsoids, collapse of spheroids of co-rotating and counter-rotating particles, and head-on collision of two nearly equilibrium spherical clusters, as well as test-bed simulations including spherical symmetric dust collapse. We present numerical results and demonstrate that using our numerical code, we can investigate black hole formation in these problems fairly accurately.

3D Numerical Simulation of Black Hole Formation Using Collisionless Particles