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# r24 dice rings

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Dec 13th, 2012
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1. Congratulations, your r24 is the most versatile of all the wonderful dice rings! You don't have a dice ring? You can get one through their kickstarter until Dec 22, 2012 here: http://www.kickstarter.com/projects/critsuccess/dice-rings or look for their retail store after the campaign.
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3. This uncanny utility is because the number 24 can be broken down into its prime factors: 2*2*2*3 = 24 and these factors can be recombined to lots of other useful numbers. As a result, you can very easily use it to naturally simulate any die that is a combination of these factors. These natural combinations are as a d2 / coin toss, a d3, a d4 (2*2), a d6 (2*3), a d8 (2*2*2), a d12 (2*2*3) and of course a d24. To easily translate your spin for these "natural" combinations:
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5. 1) You need to keep a magic number in mind. That number is the result of dividing 24 by the size of the die you're simulating. So if you want a d2, that number is 12 (24/2 = 12). If you want a d6, that magic number is 4. d8? 3.
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9. 3) Divide the spin result by the magic number in your head, rounding up. You don't need a perfect result, only the whole number portion and if there is any remainder, so you can round up.
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11. Let's do some examples for a d6. The magic number you're going to keep in your head is 4 (24/6).
12. * you spin a 17. 17/4 is "about 4, with some remainder" so you've rolled a 5 on your d6!
13. * you spin a 3. 3/4 is "0 with some remainder" so you've rolled a 1!
14. * you spin a 24. 24/4 is "6, no remainder" so you've rolled a 6!
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16. Your r24 can also serve as any other dice with fewer than 24 faces, if you remember two simple things: (1) your magic number is 24 divided by the size of the die, rounding DOWN; and (2) if you overshoot the highest number, you must reroll. For a d10 or d20, these rerolls will amount to 1/6th (16.67%) of your results, which is pretty reasonable to get a d10 or d20 roll from your one ring! You could even do a d100 in a pinch, with two consecutive d10 spins!
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18. Let's look at some examples for a d10. Your magic number here is 24/10 = 2. Remember to round down for the magic number, and up on the spin results.
19. * you spin a 13. 13/2 is "about 6, with some remainder" so you've rolled a 7 on your d10!
20. * you spin a 21. 21/2 is "about 10, with some remainder" which would round up to 11. You must *reroll* this die; it fell off the table.
21. * you spin a 18. 18/2 is "9, no remainder" so you've rolled a 9.
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23. Final example, the d20. Your magic number here is 24/20 = 1. No division necessary. Just remember the second rule, to reroll overshoots.
24. * you spin a 13. You've rolled a 13 on a d20.
25. * you spin a 21. Respin! This will happen the same 16.67% of the time as a d10. Respinning any 21, 22, 23, or 24 that show up.
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27. To recap all the possibilities (* indicates common gaming dice):
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29. d1 = you win, every time!
30. * d2 = magic number 12, no rerolls
31. d3 = magic number 8, no rerolls
32. * d4 = magic number 6, no rerolls
33. d5 = magic number 4, 16.6% rerolls
34. * d6 = magic number 4, no rerolls
35. d7 = magic number 3, 12.5% rerolls
36. * d8 = magic number 3, no rerolls
37. d9 = magic number 2, 25.0% rerolls
38. * d10 = magic number 2, 16.7% rerolls
39. d11 = magic number 2, 8.3% rerolls
40. * d12 = magic number 2, no rerolls
41. d13 = no magic number, just 45.8% rerolls - the worst case scenario, how unlucky.
42. d14 = no magic number, just 41.6% rerolls
43. d15 = no magic number, just 37.5% rerolls
44. d16 = no magic number, just 33.3% rerolls
45. d17 = no magic number, just 29.2% rerolls
46. d18 = no magic number, just 25.0% rerolls
47. d19 = no magic number, just 20.8% rerolls
48. * d20 = no magic number, just 16.7% rerolls
49. d21 = no magic number, just 12.5% rerolls
50. d22 = no magic number, just 8.3% rerolls
51. d23 = no magic number, just 4.2% rerolls
52. d24 = just read the number!
53. *d100 = two consecutive d10, respinning each on 21-24 results (16.7%)
54. d1000 = ok, now you're just being silly
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