I have been trying to replicate the Scallop Sea-Shell pattern for a while. I was able to write a radial function which looks almost similar to the Scallop. There are both 3-D and 2-D versions of the Scallop.
A Scallop Seashell looks like this
2-D Plot of the shell
A synthesis of the above two images is shown below.
3-D Plot of the shell
I have rotated the 3-D image to the optimal viewing angle before saving its projection as the 2-D image.This is 3-D but only a wired image. I am trying to plot a 3-D surface. I will update this post when I write the function for it.