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In my code, I have a variable that stores the number of segments per one eighth of a circle. I wonder if there is a synonym for eighth of a circle, because segmentsPerEighthOfCircle is a little lengthy. In another thread users suggest octile and octant. But I can't get the difference. Will you clarify the difference and the correct usage?

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    A quarter: quadrant. An eighth: octant. I have never heard of a 'quadrile' or 'octile' but looking it up octile is used in statistics (not geometry) and it does not mean an eighth of a circle. Dec 6 '20 at 17:29
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    Well, you could always use "slice", once you'd established it's precise meaning. A slice of a pie is typically 1/6th or 1/8th.
    – Hot Licks
    Dec 6 '20 at 17:47
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    Also called a semi-square, as an aspect (angular separation) in astrology. Dec 6 '20 at 17:50
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“Octant” is the right word, but be aware most people won’t be familiar with it.

The difference between “octant” (or “quadrant”) and “octile” (or “quartile”) is that -ile is used for order/rank whereas -ant is used for position.

For instance, a point might be in the upper-right quadrant on a graph (X and Y both positive), whereas your score on a test might be in the top quartile (the best 1/4).

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