We present a striking new Hubble Space Telescope (HST) observation of
the rich cluster Abell 2218 taken with the Wide Field Planetary Camera
2. HST's restored image quality reveals a sizable number of gravitati
onally lensed features in this cluster, significantly more than had be
en identified by using ground-based telescopes. The brightest area are
resolved by HST and show internal features that enable us to identify
multiply imaged examples, confirming and improving the mass models of
the cluster determined from ground-based observations. Although weak
lensing has been detected statistically in this and other clusters fro
m ground-based data, the superlative resolution of HST enables us to i
ndividually identify weakly distorted images more reliably than hither
to, with important consequences for their redshift determination. Usin
g an improved mass model for the cluster calibrated with available spe
ctroscopy for the brightest arcs, we demonstrate how inversion of the
lensing model can be used to yield the redshift distribution of simila
r to 80 faint arclets to R similar or equal to 25. We present a new fo
rmalism for estimating the uncertainties in this inversion method and
review prospects for interpreting our results and verifying the predic
ted redshifts.