World

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One such idea is an old one, the idea of "the move". This notion is falling out favor with me for the moment, but I think I will wait till next week to discuss it.

Two recent concoctions - by yours truly - continue to entertain. Both are built into the chart I discussed last week. The most revolutionary of the two came to me when I was struggling with the five dot flipflop not so long ago. It suddenly occurred to me that I could think of that flipflop - maybe all flipflops, and maybe all traps - as a given number of isolani plus a two dot trap. So, a two dot trap is zero isolani plus a two dot trap. A five dot flipflop is a two isolani plus a two dot trap. A seven dot trap is three isolani plus a two dot trap. And so forth, at least according to my approximation.

It's easy to see how I incorporated this idea into the chart. I accepted the AJS conjecture as true (another assumption!) through 16 dots. Then, any N revealed to be a flipflop or trap became a two dot trap plus a theoretical number of isolani. For instance, AJS has player2 winning 14 dots both in normal and reverse play. That means, by my scheme, that 14 dots is a two dot trap plus an even number of isolani (since the peacemonger needs to not rock the boat).

The other approximation set into the chart is the idea that a trapeze produced single pivot doesn't have any effect. This notion is almost certainly false as a general proposition, but I'm hoping it is almost always true in individual cases. I used this idea to evaluate the results of various trapeze moves. I simply ignored the pivot and used the game values of the remaining groups after a given trapeze move.

ANALYSIS (Find a shrink.) **14+** The chart discourages player1 from looping, but never forget that the chart is built on approximations. All of the loops are worth considering.

**1(15)2** But even apart from the chart, this move entices. The two-thirds rule indicates that player2 is struggling to get his even number of isolani.

**1(16)1[3,4]** Player2 needs to maximize isolani, since two-thirds of fourteen is closer to nine than to ten. Creating a two spot trap is admirably efficient.

Now player1 can take the efficient dot 16 out of the larger mix with 3(17)16, but player2 will be left with a very efficient resource in 2(18)15. I like better **5(17)6**, looking for pharisees in all the wrong places.

--Cal Hudson, First World Champion of Sprouts

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