Quick Answer
A catadioptric telescope uses a combination of lenses and mirrors to focus light — the name comes from the Greek roots "cata" (through) and "dioptric" (refracting). The two main designs are Schmidt-Cassegrain (thin corrector plate, separate secondary mirror) and Maksutov-Cassegrain (thick meniscus corrector, mirrored secondary spot). Both fold a long focal length into a short, portable tube. SCTs cool faster and offer wider fields; Maksutovs produce slightly higher contrast and need less maintenance.