the Grande Arche was designed to resemble the projection of a hypercube. Fez, a video game where one plays a character who can see beyond the two dimensions other characters can see, and must use this ability to solve platforming puzzles. Features "Dot", a tesseract who helps the player navigate the world and tells how to use abilities, fitting the theme of seeing beyond human perception of known dimensional space. The word tesseract was later adopted for numerous other uses in popular culture, including as a plot device in works of science fiction, often with little or no connection to the four-dimensional hypercube. See Tesseract (disambiguation). See also Mathematics and art Notes References F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss (1995) Kaleidoscopes: Selected Writings of H.S.M. Coxeter, Wiley-Interscience Publication (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, Mathematische Zeitschrift 46 (1940) 380–407, MR 2,10] (Paper 23) H.S.M. Coxeter, Regular and Semi-Regular Polytopes II, [Math. Zeit. 188 (1985) 559-591] (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45] John H. Conway, Heidi Burgiel, Chaim Goodman-Strass (2008) The Symmetries of Things, (Chapter 26. pp. 409: Hemicubes: 1n1) T. Gosset (1900) On the Regular and Semi-Regular Figures in Space of n Dimensions, Messenger of Mathematics, Macmillan. T. Proctor Hall (1893) "The projection of fourfold figures on a three-flat", American Journal of Mathematics 15:179–89. Norman Johnson Uniform Polytopes, Manuscript (1991) N.W. Johnson: The Theory of Uniform Polytopes and Honeycombs, Ph.D. (1966) Victor Schlegel (1886) Ueber Projectionsmodelle der regelmässigen vier-dimensionalen Körper, Waren. External links The Tesseract Ray traced images with hidden surface elimination. This site provides a good description of methods of visualizing 4D solids. Der 8-Zeller (8-cell) Marco Möller's Regular polytopes in ℝ4 (German) WikiChoron: Tesseract HyperSolids is an open source program for the Apple Macintosh (Mac OS X and higher) which generates the five regular solids of three-dimensional space and the six regular hypersolids of four-dimensional space. Hypercube 98 A Windows program that displays animated hypercubes, by Rudy Rucker ken perlin's home page A way to visualize hypercubes, by Ken Perlin Some Notes on the Fourth Dimension includes animated tutorials on several different aspects of the tesseract, by Davide P. Cervone Tesseract animation with hidden volume elimination Algebraic topology Four-dimensional geometry 008