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(*^ ::[paletteColors = 128; fontset = title, "Helvetica", 24, L1, bold, nohscroll; fontset = subtitle, "Helvetica", 10, L1, italic, nohscroll; fontset = subsubtitle, "Helvetica", 10, L1, nohscroll; fontset = section, "Helvetica", 18, L1, bold, nohscroll; fontset = subsection, "Helvetica", 14, L1, bold, nohscroll; fontset = subsubsection, "Times", 14, L1, bold, nohscroll, blackBox; fontset = text, "Times", 12, L1, nohscroll; fontset = smalltext, "Times", 10, L1, nohscroll; fontset = input, "Courier", 10, L1, nowordwrap; fontset = output, "Courier", 10, L2, nowordwrap; fontset = message, "Helvetica", 10, L1, nowordwrap; fontset = print, "Helvetica", 10, L1, nowordwrap; fontset = info, "Helvetica", 10, L1, nowordwrap; fontset = postscript, "Helvetica", 10, L1, nowordwrap; fontset = name, "Helvetica", 9, L1, italic, nohscroll; fontset = header, "Helvetica", 10, L1, nohscroll; fontset = footer, "Helvetica", 10, L1, nohscroll; fontset = help, "Helvetica", 10, L1, nohscroll; fontset = clipboard, "Helvetica", 10, L1, nohscroll; fontset = completions, "Helvetica", 10, L1, nohscroll; fontset = network, "Courier", 10, L2, nowordwrap; fontset = graphlabel, "Courier", 12, L2, nowordwrap; fontset = special1, "Helvetica", 18, L1, bold, nohscroll; fontset = special2, "Helvetica", 14, L1, bold, nohscroll; fontset = special3, "Times", 14, L1, bold, nohscroll, blackBox; fontset = special4, "Helvetica", 10, L1, nohscroll; fontset = special5, "Helvetica", 10, L1, nohscroll;] :[font = title; inactive; startGroup; ] Implicit Curves :[font = subtitle; inactive; noPageBreak; ] Allan Hayes :[font = subsubtitle; inactive; noPageBreak; ] Department of Mathematics The University Leicester LE1 7RH, UK :[font = subsection; inactive; startGroup; noPageBreak; ] Using ListPlot :[font = text; inactive; noPageBreak; ] For equations between polynomials, I have joined the solutions for y in terms of x and for x in terms of y to produce a more even distribution of plotted points. :[font = input; startGroup; noPageBreak; ] PlotImplicit[x^3+y^3==6x*y,{-2,3.174},{-2,4},100, AspectRatio->Automatic,PlotStyle->{PointSize[0.005]}, Axes->{0,0}] :[font = postscript; inactive; PICT; pictureID = 29865; output; endGroup; pictureWidth = 174; pictureHeight = 175; noPageBreak; ] :[font = subsection; inactive; startGroup; noPageBreak; ] Using ContourPlot :[font = input; startGroup; noPageBreak; ] ContourPlot[x^3+y^3 - 6x*y,{x,-2,3.3},{y,-4,3.3}, PlotRange->{0,0},ContourLevels->1, AspectRatio->Automatic, Axes->{0,0}] :[font = postscript; inactive; PICT; pictureID = 2146; output; endGroup; endGroup; endGroup; endGroup; pictureWidth = 191; pictureHeight = 191; ] ^*)