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In the second stage of the specialization sequence, the
line rotates about the
point until it contains the
fixed point.
The blue solution moves until it meets the
fixed point and the magenta
solution moves until it lies in the plane spanned by the
red and green lines.
This is by far the most interesting geometrically of all the
frames in this sequence. The picture is linked to a
longer animation.
A lot happens in this step, This representes both possibilities
(swap and stay)
in the middle square of Table 2/Figure 8 in GLR.
We display both below, and will continue to display both checker games for
the rest of this sequence.
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