Animals

Abstract butterfly

ParametricPlot[{7Sin[t^2],8(Sin[ t^2])(Cos [t])},{t,0,2Pi}]

ParametricPlot[{3+5Sin[t]+7Sin[3t]+9Sin[5t],2+4Cos[t]+6Cos[2t]+8Cos[4t]},{t,-50 Pi,50 Pi}]

ParametricPlot[{2Cos[t]- Abs[7Cos[3t]],79Sin[t]-55Sin[3t]},{t,-2Pi,2Pi},PlotRange->{{-10,2},{-150,150}},ImageSize->{359,428},AspectRatio->Full]

Shapes

ParametricPlot[{1/5Cos[t]^3,1/5Sin[t]^3},{t,0,2Pi}]

ParametricPlot[{t Sin[12t],t Cos[12t]},{t,0,4Pi}]

ParametricPlot[{36Cos[12t],50Sin[10t]},{t,-25Pi,25Pi}]

ParametricPlot[{36Cos[12t],50Sin[18t]},{t,-25Pi,25Pi}]

ParametricPlot[{5Cos[t]-Cos[75t],1.5Sin[t]-Sin[30t]},{t,-2Pi,2Pi}]

Huge numbers

ParametricPlot[{t^2-(Tan[3t]/Cos[7t]),Sec[t]/Sin[3t]},{t,0,17},PlotRange->{{-300,300},{-300,300}},PlotPoints->150]

ParametricPlot[{Cos[t]-Cos[200000000t],4Sin[t]-Sin[20000000000t]},{t,-2Pi,2Pi},PlotPoints->100]

ParametricPlot[{900t Cos[900t]+900t Cos[200t],10000t Sin[t]-t Sin[Pi t]},{t,0,900},PlotRange->3000000,PlotPoints->1000]

Breaking things

ParametricPlot[{3Cos[55t]+6,Sin[21t]+3},{t,0,2Pi}]

Desmos started doing wierd things here.

ParametricPlot[{t^2,Abs[30Sin[t]]},{t,-100,100},PlotRange->{{0,10000},{-1,30}},ImageSize->{359,428},AspectRatio->Full]

ParametricPlot[{25t Cos[45t],800Sin[45t]},{t,-.07,0.14},PlotRange->{{-2,4},{-1000,1000}},ImageSize->{359,428},AspectRatio->Full]

Manipulate[ParametricPlot[{25t Cos[45t],800Sin[45t]},{t,-.07,terminal},PlotRange->{{-30,30},{-1000,1000}},ImageSize->{359,428},AspectRatio->Full],{terminal,0.14,1}]