Morpion Solitaire - Infinite Record Grids with another initial pattern (4T# and 4D# games)
In the 4T and 4D games, the initial pattern is a cross using 24 dots. But is it possible to get a better score than the records of 62 moves (4T) and 35 moves (4D) from another initial pattern using the same number of dots (24)?
Yes, and the score can even be infinite! In fact, only 7 dots well placed are sufficient, as proved by this figure.
May 2004: Infinite 4T#-4D# grid by Erik D. Demaine, Martin L. Demaine, Arthur Langerman, and Stefan Langerman.
From their "Morpion Solitaire" paper, Theory of Computing Systems, vol. 39 (2006), this grid is the figure 4, page 444.
(click on the image to enlarge it)
© Christian Boyer, www.morpionsolitaire.com