Convex is an adjective that describes something that has a surface or boundary that curves or bulges outward. It is similar to the exterior of a sphere. In mathematics, the term refers to a polygon that contains no interior angle greater than 180 degrees.
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what does convex mean
[adj. kon-veks, kuhn-; n.kon-veks]
having a surface that is curved or rounded outward.
Convex means curving or bulging outward. The opposite is concave, which means curving inward. The terms can be used to describe anything, but lenses are one common usage. You can find more information here: http://www.audioenglish.net/dictionary/convex.htm