Concept
Espace à quatre dimensions
Concepts associés (23)
Hermann Günther Grassmann
Hermann Günther Grassmann (né le à Stettin et mort le dans la même ville) est un mathématicien et indianiste prussien. Polymathe, il est connu de ses contemporains en tant que linguiste. Physicien, néo-humaniste, érudit mais aussi éditeur, Hermann Grassmann est avec Niels Abel, Évariste Galois et Georg Cantor l’un des grands mathématiciens « malheureux » du . Selon le mot de Albert C. Lewis : Il est considéré aujourd'hui comme le fondateur du calcul tensoriel et de la théorie des espaces vectoriels.
History of quaternions
In mathematics, quaternions are a non-commutative number system that extends the complex numbers. Quaternions and their applications to rotations were first described in print by Olinde Rodrigues in all but name in 1840, but independently discovered by Irish mathematician Sir William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. They find uses in both theoretical and applied mathematics, in particular for calculations involving three-dimensional rotations.
Tesseractic honeycomb
In four-dimensional euclidean geometry, the tesseractic honeycomb is one of the three regular space-filling tessellations (or honeycombs), represented by Schläfli symbol {4,3,3,4}, and constructed by a 4-dimensional packing of tesseract facets. Its vertex figure is a 16-cell. Two tesseracts meet at each cubic cell, four meet at each square face, eight meet on each edge, and sixteen meet at each vertex. It is an analog of the square tiling, {4,4}, of the plane and the cubic honeycomb, {4,3,4}, of 3-space.