Nice simple game. The dice seems to be added there just to fit the theme. Other than that, nice music and cute art.
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I must say, I have no idea. I think this impression is due to the fact that player has no control of the dice roll. But got no idea with this implementation. Perhaps when getting some special cow, a dice fall and the result of the roll affect the field positively/negatively (fire, more farmer, more cow, wind, etc...)