concave polygon
- noun
- /ˈkɒn.keɪv ˈpɒl.ɪ.ɡən/
- Specialized
:
polígono cóncavo
- The shape of the star is a classic example of a concave polygon.
Examples
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Unlike a convex polygon, a concave polygon has at least one vertex pointing inward.
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A concave polygon can have an interior angle greater than 180°.
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A concave polygon can be divided into simpler shapes for area calculation.
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Is a concave polygon always a complex shape?
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The star-shaped figure is a concave polygon because it has an interior angle greater than 180°.
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In geometry class, we learned that a concave polygon can create interesting shapes with its inward corners.
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When drawing a concave polygon, ensure that one of the angles bends inward to meet the definition.
Synonyms
A shape with straight sides that has one or more angles pointing inward
Antonyms
- Specialized
A flat shape with straight sides where every line between two points stays inside
How Concave
Surface Forms
Morphology
The meaning is transparently composed from 'concave' (curved inward, like the inside of a bowl) + 'polygon' (a many-sided flat shape), so a learner who knows both words can infer it refers to a polygon with an inward indentation or inward-turned angle. This is a regular adjective+noun composition (cross-linguistically common); the precise geometric formulation (interior angle > 180°) is a technical detail that does not block basic understanding.
Etymology
Concave polygon is a many-sided shape with a clear 'dent' or inward corner. The word concave means 'curving in', so one or more corners point inward and a straight line between two points inside the shape can pass outside, which is why a concave polygon is not all 'bulging out'.