Not sure if this helps.

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https://en.wikipedia.org/wiki/Crescent

The crescent shape is a type of lune, the latter consisting of a circular disk with a portion of another disk removed from it, so that what remains is a shape enclosed by two circular arcs which intersect at two points. In a crescent, the enclosed shape does not include the center of the original disk.

The tapered regions towards the points of intersection of the two arcs are known as the "horns" of the crescent. The classical crescent shape has its horns pointing upward (and is often worn as horns when worn as a crown or diadem, e.g. in depictions of the lunar goddess, or in the headdress of Persian kings, etc.

The word crescent is derived etymologically from the present participle of the Latin verb crescere "to grow", technically denoting the waxing moon (luna crescens). As seen from the northern hemisphere, the waxing Moon tends to appear with its horns pointing towards the left, and conversely the waning Moon with its horns pointing towards the right; the English word crescent may however refer to the shape regardless of its orientation, except for the technical language of blazoning used in heraldry, where the word "increscent" refers to a crescent shape with its horns to the left, and "decrescent" refers to one with its horns to the right, while the word "crescent" on its own denotes a crescent shape with horns pointing upward.