Hypercubus was commissioned by John Slack, a member of the Berkeley Ensemble. It was first performed by John as part of the Berkeley Ensemble's Spring Chamber music series in St. Saviour's Church, Warwick Avenue, on 27 March 2018. This piece is one of a series based on the paintings (and poetry) of Salvador Dalí (1904-1989).

Hypercubus takes inspiration directly from Dalí's use of the 4-dimensional cube, or tesseract, represented in 3-dimensions as a hypercube in his 1954 painting Crucifixion (Corpus Hypercubus).