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concave polyhedron

concave polyhedron

9.5
A solid with flat faces that has an inward indentation
  • noun
  • /ˈkɒn.keɪv ˌpɒl.ɪˈhiː.drən/
  • Specialized
translation icon : poliedro cóncavo
  • A concave polyhedron can have indentations or recesses, unlike its convex counterpart.

Examples

  • A concave polyhedron has at least one section that forms a concave polygon, making its shape unique.

  • Students examined models of both a concave polyhedron and a convex one for comparison.

  • It is challenging to calculate the volume of a concave polyhedron due to its inward-facing angles.

  • A concave polyhedron can have interesting geometric properties.

  • Is a concave polyhedron always symmetrical?

  • In geometry class, we learned that a concave polyhedron can create fascinating visual effects.

  • Examples of a concave polyhedron include shapes with inward curves, such as a star shape.

How Concave

concave polyhedron
  • Specialized
9.5
convex polyhedron
  • Specialized
8.8

Surface Forms

Morphology

concave + polyhedron

The compound is a straightforward adjective + noun combination: 'concave' (bowl-shaped/inward-curving) modifies 'polyhedron' (a 3D shape with flat faces), so the meaning 'a polyhedron that is concave or has inward-curving parts' is directly derivable. While the formal geometric definition mentions plane sections forming concave polygons, that technical detail does not prevent an average B1 learner who knows both words from understanding the basic intended concept.

Etymology

Concave polyhedron is a name that shows the shape: concave means 'curving inward' and polyhedron means 'many faces'. So imagine a many-faced solid with a dent or hollow, and that image explains why it means a solid with at least one inward-facing angle.