The first complete characterization of a dendritic microstructure is presen
ted. The dendrite morphology is obtained via a novel serial-sectioning proc
ess that allows the three-dimensional microstructure of opaque materials to
be determined in a routine manner. Using the reconstructed dendrite we det
ermine the spatial distribution of the mean and Gaussian curvature as well
as the probability density distributions of these curvatures. These measure
ments yield many insights into the local processes that shape these topolog
ically complex structures that are vital in setting many material propertie
s. (C) 2001 Acta Materialia Inc. Published by Elsevier Science Ltd. All rig
hts reserved.