PlanetsCentral

The title of the ending criterion is just misleading. It should read "Around turn 85", since this is the maximum propability. We are still in the region that every turn has around 1/4 chance of being the last, which is not much. Maybe the propability should grow a bit faster, ending the game within the next, say, 10 turns instead of 27, as it is now.

I evaluated a few parameters, and I chose this particular distribution because it looks nice on the plot (i.e. not entirely flat, but not a stupid narrow bump like a Normal distribution), and is easy to implement (doesn't need memory, for example by rolling a dice in turn 80 and determining the end condition).

The "5%" is actually a parameter to the end condition and can be changed.

You're right that "around turn 80" is misleading, but "after turn 80" probably is a better name than "around turn 85" (to say explicitly until what turn the game is guaranteed to last).

Sending the dice roll to players is actually a good idea. I already found that the host engine is missing a means to include explanatory text with result mails; I'd have needed that for the Just a Second rehost a few weeks ago.

--Stefan