One way t...o mount an object is the Armature.
There are, for the most part, two basic materials for an armature; metal and acrylic. Acrylic can be nice in some situations especially if you are mounting something that you can see through because it is clear. The drawback with using acrylic is it takes a much thicker material to get the same strength as metal would in a smaller size.
Acrylic armatures are bent by heating the acrylic until it gets soft and bendable. Metal armatures are more common because they can be of a smaller material size making them less noticeable and provide a professional clean look. The armature is bent to match the curves of what it is holding and is placed somewhere on the piece to support it safely but should be out of sight as much as possible. Usually this armature comes from the back or from underneath, whichever works best to support the object. Sometimes an object is floated off of its base and sometimes it looks better to have it resting right on the base. Often, where the tips of the armature are visible, they are painted so they do not stand out. If the object is soft, a plastic coating is put on the tips to protect the object. Very small and fragile items can be mounted with very small diameter metal. Very large and heavy objects will use thicker, stronger metal. Usually steel or brass is used.