It’s the sum of an initial value and the day shifts due to centuries, years, months, and days.

Day shift due to centuries is number of centuries, C, times number of days (mod 7) in a standard century, that is, 36524 mod 7 = 5, plus a correction for non standard centuries, floor(C/4).

Similarly shift due to years is Y times 365 mod 7 = 1 corrected by floor(Y/4).

Similarly shift due to months is M times 30 mod 7 = 2 corrected by a more complicated term due to months’ irregularities, floor((6M-13)/10). Actually you can use (6M-12)/10 and then simplify that to 3(M-2)/5, but I like dividing by 10 better.

If for some reason you needed a formula to figure out number of days’ difference between two dates you could leave off the initial value and the mod 7 and use

36524C + floor(C/4) + 365Y + floor(Y/4) + 30M + floor((6M-13)/10)

calculated for both dates and then subtract the two (maybe not in your head though).

]]>Rule B358/S237 also occasionally forms nice still pattern, which I named a ‘Flower’ (5 x Tub pattern). The pattern distantly resembles known ‘Honey farm’ pattern (4 x Tub).

]]>t2 = t1 + (1/parts)*2*PI ]]>

You can even roughly calculate some of this. Start by assuming a random distribution of cells with uniform density. In a stable state (not necessarily a *still* state), the expected density of surviving cells + born cells should be equal to the current density. Given a slightly different density, you will find that this model sometimes converges to the stable density faster, sometimes slower. And sometimes it converges instead to zero.