Additional things needed to build;
1) 2mm foam sheet
2) 3mm diameter neodymium magnets (3mm tall)
3) Multiple levels of sand paper (Dry/Wet)
4) Super Glue, Fabric Glue, Glue you trust
5) Finishing touches (fabric, paint, jewels, etc)

Tried fabric on a practice piece, didn't use anything to keep the fabric from fraying so I didn't like how it turned out but I think it would look good with fabric.

Magnet on the bottom is to attach it to a base which I have not yet created.

I attached Solidworks file for those that want to change it.

Heavily inspired by Jooxoe3i amazing lay flat Easter egg.