Dice acts using sex dice. Dice may have numbers that do not form a counting sequence starting at one. One variation on the standard die is known as the "average" die. These are six-sided dice with sides numbered codice_3, which have the same arithmetic mean as a standard die (3.5 for a single die, 7 for a pair of dice), but have a narrower range of possible values (2 through 5 for one, 4 through 10 for a pair). They are used in some table-top wargames, where a narrower range of numbers is required. Other numbered variations include Sicherman dice and
Long dice Design advantages of long dice include being relatively easy to create fair dice with an odd number of faces, and (for four-faced dice) being easier to roll than tetrahedral d4 dice (as found in many role-playing games). Both cubic dice and four-faced long dice are found as early as the mid third millennium BCE at Indus Valley Civilisation sites; these are marked variously with dot-and-ring figures, linear devices, and Indus Valley signs. Dot-and-ring figures are used to this day on long dice in India, and predominate in the central European long dice shown above. In India, long dice ("pasa") are