Calculator? Fun? Naaaaaahhh..That was just to sucker you in. But here are some (hopefully) cool things anyway. (Note: This page is designed for a TI-83+. So if you have a different one, follow the steps that are analagous for your calculator.)

Note: All graphs on this page require Parametric mode, with radian mode selected as well.
( Func Par Pol Seq; Radian Degree)

- -- ---- ( 1. An Elegant Flower ) ---- -- -

• Equations
        {X₁=cos(T)+.5cos(7T)+(1/3)sin(17T);
         Y₁=sin(T)+.5sin(7T)+(1/3)cos(17T)}
• Window Settings
    Tmin=0   Tmax=2   Tstep=/96
    Xmin=-3   Xmax=3   Xscl=1
    Ymin=-2   Ymax=2   Yscl=1
• If all goes well, you should obtain a graph like this:

- -- ---- ( 2. A Nice Design ) ---- -- -

• Equations
        {X₂=31cos(T)-7cos((31/7)T);
         Y₂=31sin(T)-7sin((31/7)T)}
• Window Settings
    Tmin=0   Tmax=14   Tstep=/24
    Xmin=-40   Xmax=40   Xscl=40
    Ymin=-40   Ymax=40   Yscl=40
• Zoom : 5:ZSquare
• (Recommended: Format : AxesOff)
• You can always change the Tstep so the image won't take so long. Anyway, here's what you should get:

- -- ---- ( 3. Lissajous Curves ) ---- -- -

• Equations
        {X₃=sin(uT);
         Y₃=sin(vT)}
            Note: u and v represent different numbers, preferably positive integers.
• Window Settings
    Tmin=0   Tmax=2   Tstep=/48
    Xmin=-1   Xmax=1   Xscl=1
    Ymin=-1   Ymax=1   Yscl=1
• Zoom : 5:ZSquare
• And graph away! Here are a few examples using different u's and v's:

Above left: u=1, v=2; Above center: u=5, v=6; Above right: u=10, v=11
Below left: u=2, v=5; Below right: u=5, v=7

• Off to Page 2