In mathematics, a perfect magic tesseract is a magic tesseract in which not only all the pillars and main space diagonals but also the cross section diagonals sum up to the tesseract's magic constant.

The smallest known perfect magic tesseract is of order 16; its magic constant is 524296, and it was discovered by retired meteorologist John R. Hendricks from British Columbia with the help of Cliff Pickover at the IBM Thomas J. Watson Research Center in Yorktown Heights, New York after about ten hours of computing time on an IBM Intellistation computer system.