Been seeing a lot of 3D papercraft cards popping up lately so figured I'd share the stuff I wish someone had told me when I started making my own. The biggest one: plan your depth on paper first, literally sketch the layers as a side view before you cut anything. I wasted so many sheets early on because I'd cut pieces that were supposed to stack but ended up blocking each other. Even just three or four layers reads as super deep if the spacing between them is consistent.
The other thing is foam. Little squares of craft foam tape between layers beat folded paper tabs every time, they hold up and you can nudge pieces around before committing. For small details like fins or flower petals, use a bone folder or even the back of a butter knife to curl the paper instead of trying to cut curves. It looks way more organic.
One more thing, keep a lint roller next to your workspace. Paper dust and tiny offcuts stick to foam tape like crazy and there's nothing worse than pressing a layer down and finding a confetti fleck trapped under the glass. Ask me how I know. Anyway, happy cutting folks, and if you're doing characters with lots of tiny shapes, cut your smallest pieces first while your blade is fresh.