Gotta catch 'em all! Here's a hinged and button operated Poké Ball in an egg shape. Not only can you catch Pokémon with it, but you can store things in it as well (especially egg shaped...)
Here it is in action!
Print all parts and clean them if needed
Insert the Button to the Button_Body hole
Glue the button assembly to the Center_Ring with the slot facing up
Insert the Bottom to the Center_Ring (glue is optional, not really needed)
Align the Top and Center_Ring hinge and snap it on
Done! Now go catch them Pokémon!
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