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En disposant ces cubes, il se sentit assuré qu’il pouvait acquérir de la sorte la connaissance d’une position spatiale qui ne pouvait être mise en doute. Alors qu’il cherchait des modèles en arrangeant ses blocs, il commença à se poser des questions au sujet de la quatrième dimension, qu’il voyait comme maîtrisant des séquences de transformation en trois dimensions.
The tesseract is also called an 8-cell, C8, (regular) octachoron, or cubic prism. It is the four-dimensional measure polytope, taken as a unit for hypervolume. [2] Coxeter labels it the γ4 polytope. [3] The term hypercube without a dimension reference is frequently treated as a synonym for this specific polytope .
Hinton's Cubes are mentioned in Martin Gardners "Mathematical Carnival", Chapter 4, Hypercubes, a reprint of the November, 1966, Mathematical Games. column from Scientific American. He doesn't say much, mainly that "Hinton... devised a system of using colored blocks for making three-space models of. sections of a tesseract."
9 de nov. de 2006 · The entry gives a short overview of the cubes, which Hinton designed as an aid to visualizing the fourth dimension, as well as some compelling information. Unfortunately, the actual instructions for constructing and using the cubes is only in Hinton's 1906 book The Fourth Dimension which, despite being now in the public domain, is not available online.
1 de ene. de 1980 · He used a set of cubes, appropriately enough called "Hinton cubes," to cultivate his ability to imagine the four-dimensional counterpart to the three-dimensional cube, the hypercube or tesseract. He goes on various intellectual flights of fancy ("speculations") connecting this intuited fourth dimension to occult topics of his day, explaining apparent miracles and exploring various religious ...
