The translational style of transformal art is based on a branch of higher mathematics wherein complex number transforms are used to translate every point in a real spatial field to a different, but equivalent, point in a corresponding field using a mathematical operation. The left hand naturalistic painting shows an old barn at Lanyon in Cornwall. To produce the transformal painting the spatial field in which the old barn stands is operated upon by the logarithmic expression of the trigonometric complex number transform (x.sinx - iy.cosy)(x' + iy')/10(1 + sinx). The resulting painting of the consequent translated field is shown in the right hand painting. Every point in the left hand painting has an equivalent point in the right hand painting so both are complete in every detail but merely perceived differently. This is the most abstract form of transformal art.