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It took three years for Zocchi to design his die, and three more years to get it into production. Since its introduction, Zocchi has improved the design of the Zocchihedron, filling it with teardrop-shaped free-falling weights to make it settle more swiftly when rolled. The Zocchihedron II is a further improved model, and has another filler.
1d6×5 or 5×d6 means "roll one 6-sided die, and multiply the result by 5." 3d6×10+3 means "roll three 6-sided dice, add them together, multiply the result by 10, and then add 3." Multiplication can also mean repeating throws of similar setup (usually represented by the letter "x", rather than the multiplication symbol):
A very common notation, considered a standard, expresses a dice roll as nds or nDs, where n is the number of dice rolled and s is the number of sides on each die; if only one die is rolled, n is normally not shown. For example, d4 denotes one four-sided die; 6d8 means the player should roll six eight-sided dice and sum the results.
Due to safety concerns, the 4-sided die (or d4) produced by GameScience has truncated points. Zocchi has invented and produced several "non-standard" dice. These are a 3-sided die, a 5-sided die, a 14-sided die, a 16-sided die, and a 24-sided die. All these except the 7-sided (d7) are available in high-impact translucent plastic.
A result of double-zero is commonly interpreted as 100. Some ten-sided dice (often called 'Percentile Dice') are sold in sets of two where one is numbered from 0 to 9 and the other from 00 to 90 in increments of 10, thus making it impossible to misinterpret which one is the tens and which the units die. Ten-sided dice may also be marked 1 to 10 ...
d100, the notation for percentile dice. Zocchihedron, a 100-sided playing die; Dodge D100 a model of Dodge truck from 1961 to 1993; D100 Radio, ...
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Crazy dice is a mathematical exercise in elementary combinatorics, involving a re-labeling of the faces of a pair of six-sided dice to reproduce the same frequency of sums as the standard labeling. The Sicherman dice are crazy dice that are re-labeled with only positive integers .