How to plot cassini ovals and pear curves? possible to use cartesian equations?

Grasshopper
1

i was able to plot a piriform curve with grasshopper using parametric equations

piriform
piriform1333×750 427 KB

i’d also like to plot cassini ovals and pear curves. however, the parametric equations for these are super hairy. is there a way to use cartesian equations, set up a different workflow? i’ve monkeyed around for hours but haven’t found a way forward.

any help would be much appreciated.

2

Hello
It is implicit equation you can draw the surface they represent and find the intersection with a plane. Search on old grasshopper there must be some examples

1 Like
3

Hello,

all you need to do is thinking one dimension higher. So what Laurent says…
However I would never ever create a curve like this. What speaks against drawing it?

Anyways,
Cassini.gh (9.2 KB)

cassini
cassini1481×675 140 KB

1 Like
4

ahaaa. thank you. i was so stuck in a graphing-calculator mindset.