as part of a project i will attempt to create the shape of a corrugated/ridged cupcake base. I would like to create it from a pure geometry if possible so as a starting point i would like to know how to refer to the shape which i am hoping will help me search better to start me off in he right direction.

My eventual goal will be to have the parameters editable via a gui (depth, angle, ridge density etcâ€¦) so any pointers on where to start with the maths would be much appreciated.

just to add some clarification, the photo i have posted is just an example. I am not necessarily worried about the shape having a â€śthicknessâ€ť or the pleats being rounded in anyway. More a mathematically â€śpureâ€ť version of the shape in the photo, with ridged sides and a flat base

I canâ€™t believe how minimal the code is. Thatâ€™s the nature of eloquence I supposeâ€¦ I will grab it and have a play around. Thanks very much for such a flying start.