Introduction

All nodes on the first row are initially empty except for the endpoints, each of which may be occupied by an immortal stone of either color
All nodes on the second row are either empty or occupied by immortal stones,
Every empty node on the second row (a "gap") lies between 2nd-row nodes occupied by stones of different colors.

The present paper investigates all such positions with only one gap,
as well as many (but not all) cases with two gaps.  For each such
position, we obtain the mean value and a temperature.  For games of
temperature one, we also obtain the value of the infinitesimal to
which the game chills.  Our analysis includes not only these initial
positions, but all of their orthodox descendants as well as some
plausible unorthodox descendants.