We present a fully sampled map of the Helix Nebula in the 1.3 mm CO J = 2-1
line, made using the Caltech Submillimeter Observatory. The angular resolu
tion is 31 ", and the velocity resolution is 1.5 km s(-1). The CO emission
is found to extend over a region similar to 1000 " x 800 " and delineates t
he well-known double ring or "helix" seen in optical images of the ionized
gas. Our observations provide the first complete view of the global kinemat
ics of the envelope and reveal the three-dimensional structure of the gas.
The helix is seen to be an expanding, equatorial ring around the ionized ne
bula, with arcs extending to higher latitudes and exhibiting remarkable poi
nt symmetries about the central star. The molecular gas is fragmented into
many small condensations with narrow line widths (similar to 1 km s(-1)). T
he close relationship found between the structure of the envelope and the i
onized nebula underscores the important role of neutral gas in determining
the morphology of planetary nebulae. The point symmetries provide evidence
for early shaping of the envelope by bipolar outflows or jets.