« various quotations, 2003 and earlier | Main | Apple Store planned for 340 University Ave, Palo Alto »



Feed You can follow this conversation by subscribing to the comment feed for this post.


Neat idea! It's really neat the way its misère nature is hidden, or at least not explicitly stated.

From my hand analysis (of 45 positions) it seems all the positions are nim-heaps. Too bad, though maybe that's okay for a starter. I'd have a hard time memorizing the analysis as it is.

Have you analyzed the 4x4 game? How about playing on other polyominoes?

Thane Plambeck

Hi Dan, nice to hear from you!

The empty board is G = {2+,0}

Misere quotient of order 18.


I can send you a paper ... haven't published it anywhere

I'd like to work out 4x4, but haven't yet

Thane Plambeck

Everything is a nim heap except the start position and the position with the center (only) occupied, which is 2+


Yipe, you're right. I was just coming back to
correct my earlier result--I had been using a
bogus shortcut in my analysis, which I noticed
a little after I commented.

Verify your Comment

Previewing your Comment

This is only a preview. Your comment has not yet been posted.

Your comment could not be posted. Error type:
Your comment has been saved. Comments are moderated and will not appear until approved by the author. Post another comment

The letters and numbers you entered did not match the image. Please try again.

As a final step before posting your comment, enter the letters and numbers you see in the image below. This prevents automated programs from posting comments.

Having trouble reading this image? View an alternate.


Post a comment

Comments are moderated, and will not appear until the author has approved them.

Your Information

(Name and email address are required. Email address will not be displayed with the comment.)