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We present two rulesets, Domino Shave and Clockwise Hackenbush. The first issomehow natural and, as special cases, includes Stirling Shave and Hetyei'sBernoulli game. Clockwise Hackenbush seems artificial yet it is equivalent toDomino Shave. From the pictorial form of the game, and a knowledge ofHackenbush, the decomposition into ordinal sums is immediate. The values ofClockwise Blue-Red Hackenbush are numbers and we provide an explicit formulafor the ordinal sum of numbers where the literal form of the base is$\{x\,|\,\}$ or $\{\,|\,x\}$, and $x$ is a number. That formula generalizes vanRoode's signed binary number method for Blue-Red Hackenbush.

Ordinal Sums, Clockwise Hackenbush, and Domino Shave