Hi,
I need to create a 720 degree logarithmic spiral where the Q degree arc from its large end is exactly as long as the R degree arc from its small end. Q will always be < R until Q=R, of course. The length of the spiral doesnt matter as long as that one property holds true. I can probably figure this out in CAD with trial and error but I'd rather just know how to do it mathematically. I prefer Cartesian coordinates but I can deal with polar as well. Its for a hobby project i am working on.
The Cartesian formulae for a log spiral are
X=(A^L) * cos(L)
Y=(A^L) * sin(L)
Where A is constant and L ranges from pi -> 5pi for a 720 degree spiral.
Any clues?
Thanks!
I need to create a 720 degree logarithmic spiral where the Q degree arc from its large end is exactly as long as the R degree arc from its small end. Q will always be < R until Q=R, of course. The length of the spiral doesnt matter as long as that one property holds true. I can probably figure this out in CAD with trial and error but I'd rather just know how to do it mathematically. I prefer Cartesian coordinates but I can deal with polar as well. Its for a hobby project i am working on.
The Cartesian formulae for a log spiral are
X=(A^L) * cos(L)
Y=(A^L) * sin(L)
Where A is constant and L ranges from pi -> 5pi for a 720 degree spiral.
Any clues?
Thanks!