Abstract: A random dot stereogram is formed using a novel method from relatively fine pixels. The "dots" of the stereogram are formed from the pixels in diverse shapes and sizes and are measurably more random in particular respects than dots used in the prior art. The dots are constructed in such a manner that they have a greater range of pixel counts per dot and tend to have more sides and a greater range of size counts than do prior art dots. An apparent three-dimensional image is formed on the dot background by shifting groups of dots, with the amount of the shift determining the apparent height of the group of dots. Superior resolution in the apparent height of the dot groups is obtained by assigning the quantum of movement to be significantly less than the size of the dots. The combination of the increased randomization of the dots and the reduction of the quantum of movement (for example, to 1/300 inch) produces a resolution which was not available using prior art methods.