Decorative Easter Eggs (Vase-Mode Compatible)

Alright, y'all, I really overthought this one.

I know this isn't a unique concept; there's plenty of decorative Easter eggs out there on Printables. But these ones are based on math. That's right, I read a whole academic paper* to decide how to model these egg shapes. If you're curious, this is the “universal formula” for the radius of an egg:

And then I put some pretty patterns on them. Enjoy!

They will print solid or in vase mode.

In vase mode I recommend 0.8mm extrusion width. You may get some fussiness at the bottom where the slope is a little too severe. You may have some loose extrusion at the top since vase mode isn't really good for closing off prints at the top. To avoid these you can truncate the bottom layers (more than I already have) and the top layers using negative volume meshes in your slicer or by adjusting the parameters in the OpenSCAD file.

The OpenSCAD file is pretty straightforward so if you don't like the parameters I chose or you want to make your own designs on top of them, have at it! You will need to install the indispensable BOSL2 library.

* Narushin, V. G., Romanov, M. N., & Griffin, D. K. (2021). Egg and math: introducing a universal formula for egg shape