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regular convex polyhedron

regular convex polyhedron

9.9
A solid with the same flat faces that are regular polygons and with all angles the same
  • noun
  • /ˈrɛɡjələr ˈkɒnvɛks ˌpɒlɪˈhɛdrən/
  • Specialized
translation icon : poliedro convexo regular
  • A cube is an example of a regular convex polyhedron with six square faces.

Examples

  • The five regular convex polyhedra have fascinated mathematicians for centuries.

  • Every regular convex polyhedron has faces that are identical regular polygons.

  • A regular convex polyhedron has faces that are all the same shape.

  • The regular convex polyhedron is a fundamental shape in geometry.

  • A cube is an example of a regular convex polyhedron with six square faces.

  • Every regular convex polyhedron is characterized by having faces that are identical regular polygons.

  • Mathematicians study the five regular convex polyhedra to understand their unique properties in geometry.

Synonyms

Platonic solid
vsregular convex polyhedron
  • Specialized
1 9.0

A 3D shape with all the same regular flat faces, like a cube or tetrahedron

is the descriptive technical phrase rather than the short historical name
regular polyhedron
vsregular convex polyhedron
  • Specialized
8.6

A solid shape with identical flat faces that are regular polygons like a cube

is the descriptive phrase emphasising congruent faces and equal angles
Platonic body
vsregular convex polyhedron
  • Specialized
9.7

A solid with the same flat faces and equal angles, like a cube

is the modern descriptive phrase rather than this older naming choice
regular convex solid
vsregular convex polyhedron
  • Specialized
9.0

A three-dimensional shape whose faces are the same flat shapes with all sides equal and equal angles between them

is the descriptive phrase focusing on polygonal faces and equal angles
ideal solid
vsregular convex polyhedron
  • Specialized
8.3

A three-dimensional shape with identical regular flat faces, like a cube

is the descriptive technical phrase used in modern geometry texts

Surface Forms

Morphology

regular + convex + polyhedron

The phrase is compositionally built from clear constituents: 'polyhedron' (a 3-D shape with flat faces) modified by 'convex' (curving outward) and 'regular' (symmetrical/equal faces), so the overall meaning — a symmetric convex 3-D shape with regular faces — follows directly from the parts. Although the term is technical, the adjective+noun composition is transparent and would be understandable to a B1 learner who already knows the constituent words and basic geometric vocabulary.

Etymology

Regular convex polyhedron explains its name: regular means all the flat faces are the same shape, convex means the shape has no dents, and polyhedron is a 'solid' with flat faces. So the phrase says it is a 3D solid whose faces are identical regular polygons, which is why it names the five special Platonic solids.