A strongly aperiodic polycube

Dataset describing the construction of a strongly aperiodic polycube monotile derived from Tsiokos' Chair44 structure by carving Flicker's three-colour arrow rule into the 4×4 faces as unit-cube notches and bumps, one cell in from every face edge. The resulting tile comprises 448 unit cubes and forms a closed topological 3-ball. The dataset includes the tile’s cube coordinates, computational enumeration and verification code, and results for registered contacts, surrounding shells and notch-filler configurations. These support the proof that the tile admits tilings of three-dimensional Euclidean space by congruent copies, with reflections allowed, while its geometry forces lattice registration and a unique hierarchy of supertiles. Every tiling has no symmetry of infinite order; no colours, markings or additional matching rules are required.