We have imaged an 18 mu K cloud of Rb-85 atoms bouncing freely on a horizon
tal, concave magnetic atom mirror (radius of curvature R). A high-quality i
mage is observed even after 14 reflections. Initially compact, the cloud is
alternately collimated (odd bounces) and brought back to a focus (even bou
nces) when dropped from a height R/4. This multiple reconstruction of a the
rmally expanding cloud hinges on the microscopic reversal of the atomic mot
ion. We ddiscuss the factors limiting the resolution of the mirror and desc
ribe the method of construction. [S0031-9007(98)08251-9].