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← Revision 3 as of 2009-04-04 19:18:39 ⇥
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| Deletions are marked like this. | Additions are marked like this. |
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| Bell dice may be used to obtain the randomness of a difficult to obtain or physically impossible die size. A sampling of Belln:6 : | Bell dice may be used to obtain the randomness of a difficult to obtain or physically impossible die size. They are not suitable where a uniform distribution is specifically desired, such as a die roll to look up an entry in a generator table. A sampling of Belln:6 : |
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| [[Image:]] | || 1d4 || 1d6 || 1d8 || 1d10 || 1d12 || 1d14 || 1d16 || 1d18 || 1d20 || || 1 || 1 || 1 || 1 || 2 || 2 || 2 || 2 || 2 || || 2 || 2 || 3 || 3 || 4 || 5 || 5 || 6 || 7 || || 2 || 3 || 4 || 5 || 6 || 7 || 7 || 8 || 9 || || 3 || 4 || 5 || 6 || 7 || 8 || 10 || 11 || 12 || || 3 || 5 || 6 || 8 || 9 || 10 || 12 || 13 || 14 || || 4 || 6 || 8 || 10 || 11 || 13 || 15 || 17 || 19 || Should it be necessary to preserve the min and max, the following Bell dice work: Bell2:4 through Bell6:4 Bell3:5 through Bell9:5 Bell2:6 through Bell11:6 Bell3:7 through Bell15:7 Bell4:8 through Bell21:8 Bell6:9 through Bell30:9 Bell10:10 through Bell49:10 Bell21:11 through at least Bell100:11 |
Bell Dice
Dice whose distribution is a descrete integer value aproximation of a bell curve. Bell dice designed to closely match the mean and standard deviation of a flat distribution polyhedral die, commonly designated Dn, and with m sides, may be designated as a Belln:m. While the mean and standard deviation may be a close match, the min and max may vary from the base Dn. Where a smooth distribution is desired larger number of side is desirable.
Curiously, Belln:n, where n <= 10, has the same distribution as a Dn.
Bell dice may be used to obtain the randomness of a difficult to obtain or physically impossible die size. They are not suitable where a uniform distribution is specifically desired, such as a die roll to look up an entry in a generator table. A sampling of Belln:6 :
1d4 |
1d6 |
1d8 |
1d10 |
1d12 |
1d14 |
1d16 |
1d18 |
1d20 |
1 |
1 |
1 |
1 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
3 |
3 |
4 |
5 |
5 |
6 |
7 |
2 |
3 |
4 |
5 |
6 |
7 |
7 |
8 |
9 |
3 |
4 |
5 |
6 |
7 |
8 |
10 |
11 |
12 |
3 |
5 |
6 |
8 |
9 |
10 |
12 |
13 |
14 |
4 |
6 |
8 |
10 |
11 |
13 |
15 |
17 |
19 |
Should it be necessary to preserve the min and max, the following Bell dice work:
Bell2:4 through Bell6:4
Bell3:5 through Bell9:5
Bell2:6 through Bell11:6
Bell3:7 through Bell15:7
Bell4:8 through Bell21:8
Bell6:9 through Bell30:9
Bell10:10 through Bell49:10
Bell21:11 through at least Bell100:11