In the study of plane curves, examples are typically constructed either by deforming a reducible curve (cf. 19th century constructions of Harnack [Ha1876] and Hilbert [Hi1891] or by Viro's method deforming a curve in a reducible toric variety [Vi83, Vi84] (see also [Ri]). These methods traditionally give smooth curves. In the 1990's Shustin extended these methods to obtain singular curves [Sh98, Sh99]. These extensions enable the constructions of maximally inflected plane curves of degree d with no complex nodes and the extreme numbers of 0 and (d-2)(d-3)/2 real nodes.