Abstract

The surface area of stones can be quickly, accurately, and precisely estimated from linear regression equations of area on a two-dimensional term of the form (xy + yz + zx) where x, y, and z are either the axial dimensions or the axial perimeters of stones. Dimension measurements are made with calipers, and perimeters are measured with a tape measure or a mapping wheel. The best fit slopes for the equations are determined from a representative sample of stones whose surface areas are measured by mapping. Estimates of surface areas of river-worn cobbles by these methods had mean percentage absolute errors of about 4%, considerably better than other methods examined.

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