Hubble Space Telescope (HET) V- and I-band observations show that the gravi
tational lens B1359 + 154 consists of six images of a single z(s) = 3.235 r
adio source and its star-forming host galaxy, produced by a compact group o
f galaxies at z(l) similar or equal to 1. Very Long Baseline Array (VLBA) o
bservations at 1.7 GHz. strongly support this conclusion, showing six compa
ct cores with similar low-frequency radio spectra. B1359+154 is the first e
xample of galaxy-scale gravitational lensing in which more than four images
are observed of the same background source. The configuration is due to th
e unique lensing mass distribution: three primary lens galaxies lying on th
e vertices of a triangle separated by 0 " .7 similar or equal to 4 h(-1) kp
c, inside the 1 " .7 diameter Einstein ring defined by the radio images. Th
e gravitational potential has additional extrema within this triangle, crea
ting a pair of central images that supplement the "standard" four-image geo
metry of the outer components. Simple mass models, consisting of three lens
galaxies constrained by HST and VLBA astrometry, naturally reproduce the o
bserved image positions but must be finely tuned to fit the flux densities.