The object AFGL 2688 is a bipolar nebula surrounding a post-asymptotic
giant branch star and is in transition toward becoming a planetary ne
bula. We present new near-infrared images in the I, J, H, and K bandpa
sses. These images reveal a wealth of structure in the nebula not prev
iously seen. We find that the northern lobe is not smooth, but clumpy.
There is evidence in the I-band image for periodic variations in mass
-loss rate. In addition, we present narrowband images centered on the
v = 1 --> 0 S ( 1 ) line of molecular hydrogen (lambda = 2.121 mum) an
d nearby continuum, obtained with a new variable-wavelength narrowband
-filter mechanism. The narrowband images reveal that broadband flux fo
und in the equatorial region is dominated by line emission from vibrat
ionally excited molecular hydrogen. H-2 emission is also present in th
e lobes. Our K-band images show the equatorial emission to be in the f
orm of a ring or torus extending around the object at a distance R app
roximately 7 X 10(16) (D/1 kpc) cm. Mechanisms for exciting the equato
rial H-2 emission are discussed; we conclude that shocks are the only
plausible source. We have analyzed the broadband images using models w
hich assume single scattering of photons from the central star. We fin
d that the bipolar axis is inclined to the plane of the sky by i appro
ximately 5-degrees. The images are best reproduced by models in which
the density of scattering dust decreases fairly rapidly with increasin
g stellar latitude, with little or no dust near the poles. Furthermore
, the optical depth is found to have very little wavelength dependence
, which implies that the dust in AFGL 2688 is different from that in t
he interstellar medium. This result is consistent with polarimetric st
udies, which find that the scattering grains are likely to be large gr
aphite particles.