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# What is a 'positive octant' ?

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Hi, i'm reading a book and it has the words 'positive octant', and I was wondering what that actually is. Heres the sentence:
Quote:
 Imagine a cube of 1-unit length for each of its edges and lying in the positive octant in a xyz-rectangular coordinate system with one corner at the origin. The other corners or vertices are at points with coordinates (0, 0, 1), (0, 1, 0), (0, 1, 1), (1, 0, 0), (1, 0, 1), (1, 1, 0), and (1, 1, 1). Call the origin O, and the seven points listed as A, B, C, D, E, F, and G, respectively. Then any two faces opposite to each other are linearly separable because you can define the separating plane as the plane halfway between these two faces and also parallel to these two faces.
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I guess in the region where (x, y, z)s are positive, which seems to be.
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Quote:
Original post by johnnyBravo
Hi, i'm reading a book and it has the words 'positive octant', and I was wondering what that actually is.

Heres the sentence:
Quote:
 Imagine a cube of 1-unit length for each of its edges and lying in the positive octant in a xyz-rectangular coordinate system with one corner at the origin. The other corners or vertices are at points with coordinates (0, 0, 1), (0, 1, 0), (0, 1, 1), (1, 0, 0), (1, 0, 1), (1, 1, 0), and (1, 1, 1). Call the origin O, and the seven points listed as A, B, C, D, E, F, and G, respectively. Then any two faces opposite to each other are linearly separable because you can define the separating plane as the plane halfway between these two faces and also parallel to these two faces.

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An octant is a spatial region defined by one of the eight possible sign combinations (+/-, +/-, +/-) for each coordinate triplet (x, y, z). The positive octant is the octant in which all three signs are positive.
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