A gaming device includes a symbol generator having a plurality of adjacently arranged sections. A plurality of the sections are each associated with or display one or a plurality of characteristics. The sections associated with the characteristics are each associated with or display a symbol or an award. At least one of the sections is a designated section and is not initially associated with a characteristic. The designated section is operable to sequentially display one, more or each of the characteristics associated with the other non-designated sections. When the symbol generator indicates one of the sections that displays an award and is associated with a characteristic, the gaming device provides the player with the award associated with the section. When the symbol generator indicates the designated section, the gaming device sequentially associates or displays a plurality of the characteristics associated with the other sections with the designated section. That is, when the symbol generator indicates the designated section, the gaming device causes the designated section to display one, some or all of the different characteristics associated with the other sections. The gaming device accumulates the awards associated with the sections which have the same characteristic as the characteristic indicated by the designated section.