  We present algorithms for computation and visualization of amoebas, their
contours, compactified amoebas and sections of three-dimensional amoebas by
two-dimensional planes. We also provide method and an algorithm for the
computation of~polynomials whose amoebas exhibit the most complicated topology
among all polynomials with a fixed Newton polytope. The presented algorithms
are implemented in computer algebra systems Matlab 8 and Mathematica 9.
