The two polyhedra H (Hexagonal bipyramid imaginary cube) and T (Triangular antiprismoid imaginary cube) form a honeycomb (3D tiling) which is obtained by truncating vertices of the cubic honeycomb, and at the same time, is obtained by truncating vertices of a honeycomb of triangular prisms. In this paper, we show that this honeycomb is obtained by shrinking a cross-section of the 4-dimensional honeycomb of 16-cells.