1. A system for game play, comprising: a plurality of toy construction elements, wherein at least some of the toy construction elements include a first connector and a second connector; and a computer system connected to receive identification data relating to physical constructions made from at least two of the toy construction elements, wherein, for a first physical construction made from a first plurality of toy construction elements, the computer system is programmed to generate a virtual representation of a first character based on the first physical construction, and to generate a first set of properties for the virtual representation of the first character based on each of the toy construction elements in the first physical construction, and wherein, for a second physical construction made from a second plurality of toy construction elements that is larger in number than the first plurality of construction elements, the computer system is programmed to generate a virtual representation of a second character based on the second physical construction, and to generate a second set of properties for the virtual representation of the second character based on each of the toy construction elements in the second physical construction, and wherein the computer system is programmed to receive commands to operate whichever virtual representation is generated, in a virtual environment.