Heart to Bell

The polar equation , produces the shape of a heart when n = -5.

and the shape of a bell when n = 5.

What patterns can be generated in varying n from -5 to 5? Let's try using Graphing Calculator Software to examine such equations.

Click HERE to watch how the patterns vary from n=-5 to 5.
What if the variation is from -10 to 10? Click HERE to view the Graphing Calculator file.

Extensions: How does this relate to animation or graphic design? Could this be an interesting way to show students how mathematics is found in topics of their potential interest? Encourage the students to find more patterns.

Reference: Dr. Jim Wilson's EMAT 6600 Page

Back to Home