Blend Shapes (aka Morphing) / Maya
Blend Shapes (called Morphing in Verge3D) is a feature which allows you to modify mesh objects in real-time. The most common use case for this feature is facial animation. Morphing also suits well to creating parametric objects which can interactively change their dimensions, shape, thickness, holes, profiles etc.
In Maya, open the Shape Editor, and setup targets for your objects. Please notice that you can create only one blend shape per object (with multiple active targets).
Animating Blend Shapes
Verge3D supports keyframe animation of blend shape weights. Check out the Animation section for more details.
Controlling via Puzzles
To manipulate your morph targets in real-time there are two puzzles: get morph factor and set morph factor.
For usage example, check out the following demo from the Asset Store: Parametric Models.
Feel free to ask on the forums!