Poinsot's spirals

In mathematics, Poinsot's spirals are two spirals represented by the polar equations

where csch is the hyperbolic cosecant, and sech is the hyperbolic secant.[1] They are named after the French mathematician Louis Poinsot.

Examples of the two types of Poinsot's spirals
The Poinsot spiral r=csch(θ/3).
The Poinsot spiral r=sech(θ/3).
gollark: This runs in PotatoBIOS and shouldn't be terminated, so it ignores that.
gollark: No, `os.pullEvent` handles termination too.
gollark: Oh, you should use `os.pullEvent` and not `coroutine.yield` too, right.
gollark: Your thing will be running in a CraftOS environment instead of the BIOS one, so presumably you can use the `keys` library and make it easier.
gollark: This is adapted slightly from the keyboard shortcuts daemon in potatOS.

See also

References
  1. Lawrence, J. Dennis (1972). A Catalog of Special Plane Curves. New York: Dover. pp. 192–194. ISBN 0486602885.


This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.