Freya Holméryou've heard of sine and cosine
now get ready for uh squine and cosquare
source code. source math? idk
Dana@acegikmo Oh no I do NOT like that asymmetrical curve one bit
jazz mickle@danana_dread @acegikmo its rotationally symmetric!
Tumby@danana_dread @acegikmo Just like sine and cosine, one has rotational symmetry and the other has mirror symmetry.
Eibriel@acegikmo I see 🤷♂
ml@acegikmo I hope you brought some food while descending down that rabbit hole ;-)
PypeBros@acegikmo you mean we could approach sin(t) and cos(t) by considering the infinite limit of a converging series of squine and cosquine for increasing size of polygonial sides ? (but preferrably with even polygons)
@acegikmo I love how restoring the x=cos(t) in the square example gives you a barrel tracer :P
Packbats, HTML fangirls ΘΔ&@acegikmo what happens if you use star polygons? 🤔
David Cantrell 🏏@acegikmo is this the path followed by a point on a pentagon as you roll it along a line? And it varies depending on what point you choose? I now regret you exposing me to them too!
Vicente ⁂@acegikmo what about n-gonal?
Antoine Webanck@acegikmo let's generalize all the way through the regular polygons on the way to the limit of the circle?
laurent@acegikmo there must be a whole series of curves, one for each platonic solid. I'm sure they have cool properties. Wonder what they sound like.