This is an announcement for the paper "Equilateral sets in finite-dimensional normed spaces" by Konrad J. Swanepoel. Abstract: This is an expository paper on the largest size of equilateral sets in finite-dimensional normed spaces. Archive classification: Metric Geometry; Functional Analysis Mathematics Subject Classification: 52A21 (Primary) 46B20, 52C17 (Secondary) Remarks: 30 pages The source file(s), equilateral.tex: 94432 bytes, is(are) stored in gzipped form as 0406264.gz with size 29kb. The corresponding postcript file has gzipped size 128kb. Submitted from: swanekj@unisa.ac.za The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.MG/0406264 or http://arXiv.org/abs/math.MG/0406264 or by email in unzipped form by transmitting an empty message with subject line uget 0406264 or in gzipped form by using subject line get 0406264 to: math@arXiv.org.