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A key feature of stone artefact morphology is the arrangement and patterning of negative flake scars left on flakes and cores. Scar patterning is often treated as a rough guide to identifying methods of core preparation and reduction and usually forms a key component of lithic typologies and other systems of analysis. However, scar patterns are often complex and difficult to capture using traditional measurement or classificatory techniques, particularly where flakes are thick and irregular, or where cores are flaked on many sides from a number of platforms. Three-dimensional analysis of flake scars is now more feasible using digital 3D surface scanning technologies, or using three-dimensional measurement tools such as the Microscribe-3DX which is now widely used in biological geometric morphometric studies more generally [D.C. Adams, F.J. Rohlf, D.E. Slice, Ital. J. Zool., 71 (2004) 5–16; F.J. Rohlf, L.F. Marcus, Trends Ecol. Evol. 8 (1993) 129–132. [1 and 34]]. This paper develops a mathematical formula for describing scar patterning using vectors calculated from the start and end points of flake scars recorded in three dimensions.  相似文献   
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