Using the polar plots exploration tool

Notes on the interface

The polar plots exploration tool allows you to define polar as a function of polar by entering a θ expression in the r =   text input box. If you don't know how to enter the symbol θ from your keyboard in your system, you can copy and paste θ from the query string on the tool page in your browser's address bar, or simply use the letter 't' as a substitute. The α and β text input boxes are for specifying the lower and upper limits on θ for your polar plot. It's natural to use rational multiples of as limiting values. If you don't know how to enter the symbol π from your keyboard you can copy and paste it from the tool page's query string, or simply use 'pi' as a substitute. (Either of these choices is generally preferable to using a numerical approximation.)

After making any changes to the formula for or the values of or you need to click the Process new equation button before dragging on the θ =   slider to trace out your polar plot.

As is the case for many of the tools in this toolkit, the graphics are draggable. The Additional options menu also provides a zoom slider. Note also that this tool contains several of the same options as the parametric equation exploratory tools, and these options behave essentially the same way here.

Polar plots can be aesthically pleasing. Have fun with this one.