n-dimensional orthant
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Orthant — In two dimensions, there are 4 orthants (called quadrants) In geometry, an orthant[1] or hyperoctant[2] is the analogue in n dimensional Euclidean space of a … Wikipedia
orthant — noun A n dimensional generalization of the terms quadrant (in two dimensional Cartesian space) and octant (in three dimensional space) … Wiktionary
Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… … Wikipedia
Stericated 5-simplex — 5 simplex … Wikipedia
Runcinated 5-cell — 5 cell … Wikipedia
Truncated 5-cell — 5 cell … Wikipedia
Cartesian coordinate system — Illustration of a Cartesian coordinate plane. Four points are marked and labeled with their coordinates: (2, 3) in green, (−3, 1) in red, (−1.5, −2.5) in blue, and the origin (0, 0) in purple. A Cartesian coordinate system specifies each point… … Wikipedia
Cross-polytope — In geometry, a cross polytope,[1] orthoplex,[2] hyperoctahedron, or cocube is a regular, convex polytope that exists in any number of dimensions. The vertices of a cross polytope are all the permutations of (±1, 0, 0, …, 0). The cross polytope is … Wikipedia
Octant — For other uses, see Octant (disambiguation). Three axial planes (x=0, y=0, z=0) divide space into eight equal octant domains, each with a coordinate signs from ( , , ) to (+,+,+). An octant is one of eight divisions. Contents … Wikipedia
Fundamental representation — In representation theory of Lie groups and Lie algebras, a fundamental representation is an irreducible finite dimensional representation of a semisimple Lie groupor Lie algebra whose highest weight is a fundamental weight. For example, the… … Wikipedia
16-cell — Regular hexadecachoron (16 cell) (4 orthoplex) Schlegel diagram (vertices and edges) Type Convex regular 4 polytope Schläfli symbo … Wikipedia
