Reye's configuration consists of 12 planes and 12 points such that six points lie in every plane and six planes pass through every point. Alternatively, the configuration consists of 16 lines and the same 12 points such that four lines pass through every point and three points lie on every line . This Demonstration shows a realization without any points at infinity.
For a realization with one point at infinity, see .
 D. G. Wells, The Penguin Dictionary of Curious and Interesting Geometry, New York: Penguin Books, 1991 pp. 214–215, 1991.
 I. Hafner. "Block in Two-Point Perspective" from the Wolfram Demonstrations Project—A Wolfram Web Resource. demonstrations.wolfram.com/BlockInTwoPointPerspective.