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regular polyhedron

regular polyhedron

8.6
A solid shape with identical flat faces that are regular polygons like a cube
  • noun
  • /ˈrɛɡjələr ˌpɒlɪˈhɛdrən/
  • Specialized
translation icon : poliedro regular
  • The tetrahedron is the simplest regular polyhedron, consisting of four equilateral triangular faces.

Examples

  • The dodecahedron is one example of a regular polyhedron with twelve pentagonal faces.

  • The regular polyhedra include the tetrahedron and cube.

  • A cube is the most familiar type of regular polyhedron found in everyday objects.

  • Ancient Greek mathematicians classified each regular polyhedron based on its symmetry and geometry.

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

  • A regular polyhedron has faces that are all the same shape, such as a cube or tetrahedron.

  • Mathematicians study the properties of regular polyhedra to understand their symmetry and geometry.

Synonyms

Platonic solid
vsregular polyhedron
  • Specialized
1 9.0

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

is a descriptive geometric phrase focusing on congruent faces and angles
Platonic body
vsregular polyhedron
  • Specialized
9.7

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

is instead a geometric description highlighting congruent faces and equal angles
regular convex polyhedron
vsregular polyhedron
  • Specialized
9.9

A solid with the same flat faces that are regular polygons and with all angles the same

is based on the same properties but uses a different label
ideal solid
vsregular polyhedron
  • Specialized
8.3

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

is the descriptive geometric name focusing on congruence and vertex equality
regular convex solid
vsregular polyhedron
  • Specialized
9.0

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

uses a phrase stressing congruent polygon faces rather than angle wording

Surface Forms

Morphology

regular + polyhedron

The phrase is a straightforward adjective+noun composition: 'regular' (symmetric, equal) applied to 'polyhedron' (3D shape with flat polygon faces) yields a polyhedron with congruent, regularly arranged faces and angles. This compositional meaning follows common cross-linguistic patterns and is readily inferable by a B1 learner who knows both constituent words (though technical details like the five Platonic solids are specialized).

Etymology

The term regular polyhedron comes from poly meaning 'many', hedron meaning 'face', and regular meaning 'all the same'. Think of a cube: every face is the same square and every corner looks the same, so regular polyhedron came to 'mean' a three-dimensional solid with identical faces and equal angles.