  This article is a survey on the topic of polynomial amoebas. We review
results of papers written on the topic with an emphasis on its computational
aspects. Polynomial amoebas have numerous applications in various domains of
mathematics and physics. Computation of the amoeba for a given polynomial and
describing its properties is in general a problem of high complexity. We
overview existing algorithms for computing and depicting amoebas and
geometrical objects associated with them, such as contours and spines. We
review the latest software packages for computing polynomial amoebas and
compare their functionality and performance.
