Once I figured it out, I quite enjoyed this - definitely one to keep fleshing out & polishing.
I watched the tutorial video, and maybe I wasn't giving it my full attention, maybe I don't play enough board games, or maybe I'm just slow, but I still didn't quite get it.
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Here's my what I learned in my own words, in case it helps someone else get started:
The key realization I needed to make was that it's like a poker machine or slot machine where you can lock columns. After I realized that the key mechanic made sense !
* The top panel with the three white dice shows how many dice of each "picture type" you need to win. The picture types are the "hit" (*), "perception" (@) and "chance" (?).
* To commit a die, you 'lock' them by clicking on one of the colored versions in the bottom panel (you'll see the numbers in the top panel change eg 0/3 change to 1/3 ).
Any _unlocked_ die randomly change to another picture type ('hit', 'perception' or 'chance') each roll (this is just like locking positions on a slot machine and pulling the handle for a second chance).
* The probability of getting a particular picture when rolling the unlocked dice is determined by the color (see small not between top and bottom panels).
(Also, in case it wasn't obvious, after your third roll, when the button changes to "Continue", you can still commit dice to the encounter and win it - this should probably be "auto win" if you happen to be holding the right dice after that third roll, since accidentally pressing continue when you should have effectively won is annoying).
* When moving your soldiers around the map, the numbers on each tile indicate it's difficulty.
All of this would probably be more obvious if there was an actual 3D dice rolling animation, or a slot machine roll over effect - but hey, can't do everything in 72 hours !
Tip: Make sure you do exploration (non-mission) tiles to build up your dice (you'll probably need at least one soldier with 8), else you won't be able to beat the final mission (and I was so close !).
Extra points for not making the back story involve zombies !
(However, if humans themselves constructed the Icarus Gate, why does it have alien looking runes on it. Just sayin' :) )