The Freemish crate, also called Escher's cube (Elber) or Hyzer's illusion (Pappas 1989, p. 13), is an impossible figure box that can be drawn but not built. It appears in Escher's 1958 lithograph Belvedere (Gardner 1970, Ernst 1987), and was subsequently redrawn/rediscovered by Cochran (1966) in the form of a crate.
Freemish Crate
See also
Impossible Figure, Impossible Joinery, Penrose TriangleExplore with Wolfram|Alpha
References
Cochran, C. F. Letter to Scientific American 214, 8, June 1966.Elber, G. "Escher for Real." http://www.cs.technion.ac.il/~gershon/EscherForReal/.Ernst, B. Adventures with Impossible Figures. Stradbroke, England: Tarquin, Cover and p. 7, 1987.Escher, M. C. Belvedere. Lithograph, 1958. http://www.mcescher.com/Gallery/recogn-bmp/LW426.jpg.Fineman, M. The Nature of Visual Illusion. New York: Dover, pp. 120-122, 1996.Gardner, M. "Of Optical Illusions, from Figures that are Undecidable to Hot Dogs that Float." Sci. Amer. 222, 124-127, May 1970.Gardner, M. The Colossal Book of Mathematics: Classic Puzzles, Paradoxes, and Problems. New York: W. W. Norton, pp. 216-217, 2001.Jablan, S. "Are Impossible Figures Possible?" http://members.tripod.com/~modularity/kulpa.htm.Pappas, T. The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, p. 13, 1989.Robinson, J. O. The Psychology of Visual Illusion. New York: Dover, Frontispiece and pp. 176-178, 1998.Seckel, A. The Art of Optical Illusions. Carlton Books, p. 14, 2002.Referenced on Wolfram|Alpha
Freemish CrateCite this as:
Weisstein, Eric W. "Freemish Crate." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FreemishCrate.html