1843day.year
The discovery of octonions by John T. Graves, who denoted them with a boldface O, was announced to his mathematician friend William Hamilton, discoverer of quaternions, in a letter on this date.
In 1843, John T. Graves revealed the existence of octonions, an eight-dimensional extension of Hamilton’s quaternions.
On December 26, 1843, Irish mathematician John T. Graves introduced octonions in a letter to his friend William Rowan Hamilton, the discoverer of quaternions. Octonions form an eight-dimensional algebra over the real numbers, representing one of the four normed division algebras. Graves's discovery expanded the realm of hypercomplex numbers beyond Hamilton's four-dimensional quaternions. Though non-associative, octonions exhibit unique properties that have since found applications in theoretical physics and string theory. The introduction of octonions marked a significant milestone in the development of algebraic structures. Graves's work highlighted the deep connections between number theory and geometry, influencing subsequent mathematical research.
1843
octonions
John T. Graves
William Hamilton
quaternions