Three-dimensional vector analysis provides a good solution to the problem of establishing the mean orientation of a till fabric, but the use of the horizontal plane to determine the sense of the observation vectors can break up clusters and thus lead to incorrect results. The analysis procedure and computer program proposed in this paper use a series of planes of reference (called "rotations") other than the horizontal, calculating the length of the mean vector relative to each plane; the rotation producing the maximum mean vector length is considered to be the best solution, and is used to determine the azimuth and dip of the mean vector, together with associated statistical parameters.

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