ABSTRACT

The small games that occurred in Hackenbush Hotchpotch have values that can be expressed as a whole number of flowers or an equivalent number of ups. This chapter shows that every small game has a certain atomic weight which can also be called its uppitiness since it tells us what number of ups it's most nearly equal to. Like other variations on the Hackenbush theme, the Childish Hackenbush Hotchpotch game is played on a picture with colored edges. In this game each edge is either red or blue or green. Just as in ordinary Hackenbush Hotchpotch, either player may remove any green edge along with all other edges no longer connected to the ground. Alternatively, Left may remove any single blue edge but only under the childish condition that its removal does not disconnect any other edge from the ground. Observe that the childish condition applies only to the red and blue edges, not to the green ones.