orthant

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orthant (plural orthants)

1. (geometry) A n-dimensional generalization of the quadrant (in two-dimensional Cartesian space) and octant (in three-dimensional space).
   • 1992, Hal R. Varian, Microeconomic Analysis, 3rd edition, Norton, page 114:

     Consider preferences defined over the nonnegative orthant by ${\displaystyle (x_{1},x_{2})\succ (y_{1},y_{2})}$ if ${\displaystyle x_{1}+x_{2}<y_{1}+y_{2}}$ […]

• hyperoctant