Never mind. The answer was trivial. Aren't they always trivial when
finally find them.
All I need to do was send the "doFadeIn 0" message when the
doFadeOut handler quits:
on fadeOut r
set the width of me to r
set the height of me to r
if r =0 then
send "fadeIn 0" to me
exit fadeOut
end if
send "fadeOut r-1" to me in 1 tick
end fadeOut
Jim