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Platonic body

Platonic body

9.7
A solid with the same flat faces and equal angles, like a cube
  • noun
  • /pləˈtɒnɪk ˈbɒdi/
  • Specialized
: cuerpo platónico
  • The cube is a classic example of a Platonic body because all its faces are squares and its angles are equal.

Examples

  • The Platonic bodies include tetrahedrons and cubes.

  • A Platonic body has identical faces and angles.

  • Sixty-four small marbles were placed inside a transparent Platonic body to demonstrate its symmetry to the class.

  • The ancient Greeks believed that each Platonic body was associated with one of the classical elements.

  • The cube is a well-known Platonic body with six square faces that are all equal.

  • In geometry class, we studied various Platonic bodies, including the tetrahedron and dodecahedron.

  • A Platonic body is defined by having faces that are all the same regular polygon and angles that are equal.

Synonyms

polyhedron
vsPlatonic body
  • Specialized
1 7.8

A solid shape with flat faces made from straight-sided shapes, like a cube

is much narrower meaning only the five regular convex special cases
Platonic solid
vsPlatonic body
  • Specialized
1 9.0

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

is simply the alternate traditional term for the same shapes
regular polyhedron
vsPlatonic body
  • Specialized
1 8.6

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

is equivalent but often emphasizes the regularity property explicitly
convex polyhedron
vsPlatonic body
  • Specialized
1 8.8

A solid shape with flat faces where any line between two points inside stays inside, for example a cube

is narrower referring only to the five fully regular convex examples
regular convex polyhedron
vsPlatonic body
  • Specialized
9.9

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

is the same technical description but used in scientific contexts
regular convex solid
vsPlatonic body
  • 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 same concept phrased as a geometric figure
ideal solid
vsPlatonic body
  • Specialized
8.3

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

is the same set of shapes but named differently in some texts

Surface Forms

Platonic body singular

Morphology

Platonic + body

Combining 'Platonic' (relating to Plato's ideal forms) with 'body' (a three-dimensional object) yields a comprehensible idea of an ideal or perfectly regular 3D object, so a learner who knows the constituents will grasp a general sense. However, the precise technical meaning — that it denotes one of the five specific regular convex polyhedra (Platonic solids) — is specialized and not fully predictable from the parts alone.

Etymology

Platonic body comes from the Greek thinker Plato, who and his students liked a few 'perfect' solid shapes with all faces the same and the angles at each corner equal. The word Platonic links it to Plato and the word body points to a solid shape. So Platonic body now means one of those regular, 'perfect' three-dimensional shapes.