Recently developed computer-controlled twist drill grinding machines have allowed the production of precisely defined points of widely different shapes. The design methodology used for these machines has yielded machines that have up to seven separate axes. This paper shows that in a machine where all the axes can move simultaneously only two rotations and one translation are required to grind drill points. The design methodology employed in this paper uses modern matrix kinematic methods. The kinematic equations developed are simple enough to be solved iteratively on a desktop computer. In addition, the requirement to preset the drill in the drill holder with a fixture is eliminated in this machine.

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