In mathematics, the icosians are a specific set of Hamiltonian quaternions with the same symmetry as the 600-cell. The term can be used to refer to two related, but distinct, concepts:
* The icosian group: a multiplicative group of 120 quaternions, positioned at the vertices of a 600-cell of unit radius. This group is isomorphic to the binary icosahedral group of order 120.
* The icosian ring: all finite sums of the 120 unit icosians.
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- Icosian (en)
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| - In mathematics, the icosians are a specific set of Hamiltonian quaternions with the same symmetry as the 600-cell. The term can be used to refer to two related, but distinct, concepts:
* The icosian group: a multiplicative group of 120 quaternions, positioned at the vertices of a 600-cell of unit radius. This group is isomorphic to the binary icosahedral group of order 120.
* The icosian ring: all finite sums of the 120 unit icosians. (en)
- En matemáticas, los icosianos son un conjunto específico de cuaterniones Hamiltonianos con la misma simetría que el hexacosicoron. El término puede ser utilizado para referirse a dos términos relacionados, pero distintos:
* El grupo icosiano: un grupo multiplicativo de 120 cuaterniones, posicionados en los vértices de un hexacosicoron de radio 1. Este grupo es isomórfico al grupo icosaédrico binario de orden 120.
* El anillo icosiano: todas las sumas finitas del icosiano de 120 unidades (es)
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| - In mathematics, the icosians are a specific set of Hamiltonian quaternions with the same symmetry as the 600-cell. The term can be used to refer to two related, but distinct, concepts:
* The icosian group: a multiplicative group of 120 quaternions, positioned at the vertices of a 600-cell of unit radius. This group is isomorphic to the binary icosahedral group of order 120.
* The icosian ring: all finite sums of the 120 unit icosians. (en)
- En matemáticas, los icosianos son un conjunto específico de cuaterniones Hamiltonianos con la misma simetría que el hexacosicoron. El término puede ser utilizado para referirse a dos términos relacionados, pero distintos:
* El grupo icosiano: un grupo multiplicativo de 120 cuaterniones, posicionados en los vértices de un hexacosicoron de radio 1. Este grupo es isomórfico al grupo icosaédrico binario de orden 120.
* El anillo icosiano: todas las sumas finitas del icosiano de 120 unidades (es)
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