[TML] Bigass Planet X

[Timothy Little]

On Wed, Nov 14, 2007 at 11:47:14AM +0000, Peter L.S. Trevor wrote:
> How about Size code = INT(3d6/1d6)?  This gives mostly small worlds,
> some asteroid belts and some medium worlds, a few large worlds, and
> very rarely a huge world (of the size suggested).  I personally
> prefer INT(2d6/1d6) but that only goes upto size 12 ... I leave it
> as an exercise for the reader to calculate the actual probabilty
> curves of both.

It's a moderately smooth curve, indeed rather heavily weighted toward
tiny worlds.  It is rare in asteroid belts though:

Size 0: 1.2%
Size 1: 19.1%
Size 2: 27.0%
Size 3: 15.2%
Size 4: 9.3%
Size 5: 6.1%
Size 6: 4.4%
Size 7: 3.1%
Size 8: 2.3%
Size 9: 2.0%
Size 10: 2.1%
Size 11: 2.1%
Size 12: 1.9%
Size 13: 1.6%
Size 14: 1.2%
Size 15: 0.8%
Size 16: 0.5%
Size 17: 0.2%
Size 18: 0.1%


The 2d6/1d6 curve is similar, though with a lot more asteroid belts
and obviously smaller in range:

Size 0: 9.3%
Size 1: 36.6%
Size 2: 20.8%
Size 3: 10.6%
Size 4: 6.0%
Size 5: 4.2%
Size 6: 2.8%
Size 7: 2.8%
Size 8: 2.3%
Size 9: 1.9%
Size 10: 1.4%
Size 11: 0.9%
Size 12: 0.5%


- Tim