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Okay. 
Games without chance a little short one 

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on 1b. 
Loopy games. 

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Now, there's a famous comedy skit, about 
argument. 

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And these two people sit down and they 
have an argument, and one person says, 

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look argument is not just about 
contradicting one another. 

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And the other person says yes it is, no 
it is, yes it is, no it is, yes it is. 

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This is the example of famous loopy game 
that children like to play. 

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Although I wouldn't encourage them all 
that much and its call TIS TISN'T, now in 

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this game in loopy game. 
We represent the, where we are by nodes, 

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and these two nodes are called tis and 
tisn't. 

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And the blue player can move from tisn't 
to tis, and the red player can move from 

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tis to tisn't. 
And, yes it is; no it isn't; yes it is; 

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not it isn't; yes it it; no it isn't, 
yes, and this goes on for, you know as 

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long as they want to play, it's kind of 
fun. 

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here's a more more adult game you can 
play that's, that's loopy or possibly 

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loopy. 
It's called fair shares and varied pairs. 

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So what we have is a bunch of beans, or 
counters, I'm using quarters in this case 

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on the table in various heaps. 
Now what can happen is, is there are two 

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kinds of moves. 
You can take a heap of quarters and 

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divide it into say two heaps of equal 
size or maybe four heaps of equal size. 

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But in any case you could take any group 
of, any heap of quarters and divide it up 

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into any number of heaps as long as 
they're the same size. 

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That's called the fair shares part. 
The varied pairs part is you can take two 

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heaps, as long as they have a different 
number, and combine them into a single 

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heap. 
Now because, we can combine heaps and 

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separate heaps out. 
There's a possibility, a real possibility 

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that the game loops on forever. 
However, this is a really fun game to 

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play at, at parties. 
Try with almonds, or, or walnuts. 

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Or if you're in the South, try with 
pecans or pecans. 

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I never knew which way to say it. 
in any case and then of course the first 

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player who can't move loses. 
And the losing position is all heaps of 

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one. 
There you can't separate them all out. 

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And you can't combine them because 
they're all equal. 

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And so this is the losing position who 
ever gets who ever's. 

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Presented with this position here looses 
because there's no possible moves. 

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So here's little about loopy moves and 
we'll be back in a few minutes with a 

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little bit about Sente Gote.