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# Dice Rolls

The **DICE ROLLS **calculator simulates Dice Rolls for table top gaming. This calculator allows you to generate "rolls" for different dice which have 4, 6, 8 10, 12, 20, or 100 possible outcomes.

~ Derived from Calculator by JustinLiller

**APPLICATIONS:**

The regular polyhedra that represent physical dice designs are constructed only with equal-sized regular polygons so that rolling the dice has the same possibility of landing on any of the faces. This calculator provides an equivalent simulation, since all clicks of a button on the calculator generate a random number in the range of the dice, where any of the numbers has an equal chance of being generated.

To roll more than one dice, just click the calculator button repeatedly. For example, to roll two standard six-sided dice, click the button labelled "roll dice with six possibilities" twice, generating two numbers. The two rolls will be independent.

[1]

**PHYSICAL EXAMPLES:**

The following shapes, all convex polyhedra, have the requisite number of regular-polygon sides to support various physical dice designs:

- tetrahedron -- a 4-sided dice that has four equilateral triangular faces.
- cube -- a 6-sided dice that (like pictured above) that has six square faces
- octahedron -- an 8-sided dice that has eight equilateral triangular faces
- dodecahedron -- a 12-sided dice that has twelve regular pentagonal faces
- icosahedron -- a 20 sided dice that has twenty equilateral triangular faces

**HISTORY:**

The dots on the marked faces of a typical gambling dice are called "pips. The most common gambling dice has six faces and thus from 1 through 6 pips represented on each face.

The oldest known dice were excavated as part of a 5000-year-old backgammon set at the Burnt City, an archeological site in south-eastern Iran.^{[2]}

**REFERENCE:**

[1] 6sided dice (picture)

Source: Wikipedia; User: Dicrictica

URL: http://en.wikipedia.org/wiki/Dice#mediaviewer/File:6sided_dice.jpg

Public License: CC Attribution-ShareAlike 3.0 Unported

modified: yes, cropped

[2] Dice

Source: Wikipedia

URL: http://en.wikipedia.org/wiki/Dice

Public License: CC Attribution-ShareAlike 3.0 Unported

**Dice Rolls**, references 7 equations/constants.

**Equations and Constants **