Create animations from equations in Grapher on Mac

1. In the Grapher app on your Mac, create or open a graph.

2. Choose Equation > Create Animation, then do any of the following:

   • Change settings under Animation: Enter values in the Duration, Size, Sampling and Number of Frames fields.

   • Change parameter values: Use the list in the middle of the dialogue to animate a parameter by selecting its tickbox, or to enter its initial and final values. You must assign a value to the parameter in the Equations list in order to animate it. For example, T=.5.

   • Set magnification levels: Click Zoom, then select your settings.

   • Set boundaries: Click Frame Limits, then select your settings.

   • Set a 3D graph’s initial and final frame rotation: Click Orientation, then drag the image in the Initial and Final frames to rotate them.

   • Set a 3D graph’s initial and final frame zoom levels: Click Orientation, then press and hold the Shift key while you drag one of the images.

   • Set a 3D graph’s initial and final frame placement: Click Orientation, then press and hold the Command key while you drag one of the images.

3. Click Create Animation, select a location and enter a filename for the QuickTime movie, then click Save.

When animating an equation, you must have a parameter definition in the Equations list. For example, T=.5.

1. In the Grapher app on your Mac, create or open a graph.

2. Select a parameter definition in the Equations list, choose Equation > Animate Parameter, then do any of the following:

   • Change the plotted value: Enter a value in the field or drag the playhead.

   • Change the range of values: Click the Settings button .

   • Set the animation speed and whether to loop the animation: Click the Settings button .

3. Click the Play button to view the animated equation. To stop playing it, press the Stop button .

   Click the Create Movie button to view the animated equation in QuickTime.