Ok, so they’re not flowers, they’re lemniscates.
If you are using IE 5.01 Service Pack 2 (SP2) or later and the Microsoft Office 2003 Web Components, you can play with this interactively by clicking on the flower. IE may give you a security warning. Apparently IE doesn’t trust Excel.
The equation is
ampl + PM * SIN(petals * theta) ^ exp
Where
Petals is the number of petals in the lemniscate,
PM is +1 or -1,
ampl is a unit to add to the SIN function
and exp is an exponent
theta is the angle – you can’t change this.
Try the following data:
| shape | ampl | petals | PM | exp |
|---|---|---|---|---|
| lemniscate | 1 | 6 | 1 | 1 |
| cardioid | 1 | 0.5 | 1 | 1 |
| circle | 1 | 0.5 | 1 | 2 |
| infinity | 1 | 2 | -1 | 1 |
Have fun!
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