1. A method of operating a gaming system, said method comprising: presenting, based on a random wagering game outcome, a set of symbols via a display of a wagering game machine, wherein the set of symbols are associated with a pay table for an electronic casino wagering game, wherein at least a portion of the set of symbols are not in a pay line, wherein the wagering game machine includes a value input device configured to receive a physical form of monetary value, and wherein the monetary value is for placement of wagers on the electronic casino wagering game; randomly selecting, from the portion of the set of symbols that are not in the pay line, at least one symbol, wherein the at least one symbol includes a plurality of degenerate polygons which form a first three-dimensional geometric structure, and wherein the plurality of degenerate polygons are configured to have movable vertices; determining, via one or more electronic processing units of the gaming system, a degree of wagering activity performed by a player account for the electronic casino wagering game before presentation of the random wagering game outcome; morphing, via an electronic processing unit of the gaming system, the at least one symbol by a degree of morphing that corresponds to the degree of the wagering activity from the first three-dimensional geometric structure of the at least one symbol into a second three-dimensional geometric structure via movement of the movable vertices of the plurality of degenerate polygons, wherein the second three-dimensional geometric structure is structurally distinct from the first three-dimensional geometric structure; and determining whether the degree of the morphing of the at least one symbol causes at least a portion of the set of symbols to have a symbol configuration that equates to a winning outcome of the electronic casino wagering game.