We present two rulesets, Domino Shave and Clockwise Hackenbush. The first is
somehow natural and, as special cases, includes Stirling Shave and Hetyei's
Bernoulli game. Clockwise Hackenbush seems artificial yet it is equivalent to
Domino Shave. From the pictorial form of the game, and a knowledge of
Hackenbush, the decomposition into ordinal sums is immediate. The values of
Clockwise Blue-Red Hackenbush are numbers and we provide an explicit formula
for the ordinal sum of numbers where the literal form of the base is
{x∣} or {∣x}, and x is a number. That formula generalizes van
Roode's signed binary number method for Blue-Red Hackenbush.Comment: 23 page
