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regular octahedron

regular octahedron

8.4
A solid with eight identical triangle faces and the same angles
  • noun
  • /ˈrɛɡjələr ˌɒktəˈhɛdrən/
  • Specialized
translation icon : octaedro regular
  • A regular octahedron is one of the five Platonic solids, with all faces being identical equilateral triangles.

Examples

  • In geometry class, we constructed a regular octahedron out of paper to understand its symmetry.

  • The diamond crystal lattice can be visualized as a network of regular octahedra connected at their vertices.

  • A regular octahedron has eight faces.

  • The regular octahedron is a fascinating geometric shape.

  • In geometry class, we constructed a regular octahedron out of paper to understand its symmetry.

  • A regular octahedron is one of the five Platonic solids, characterized by having eight equilateral triangular faces.

  • The diamond crystal lattice can be visualized as a network of regular octahedra connected at their vertices.

Synonyms

octahedron
vsregular octahedron
  • Specialized
1 8.2

A solid shape with eight flat triangle faces

is the specific form where all faces and angles are congruent

How Many

regular icosahedron
  • Specialized
9.2
regular dodecahedron
  • Specialized
9.6
regular octahedron
  • Specialized
8.4
regular hexahedron
  • Specialized
5.9
regular tetrahedron
  • Specialized
7.4

Surface Forms

Morphology

regular + octahedron

The meaning is directly compositional: 'regular' specifies the geometric property of symmetry/equal faces applied to an 'octahedron' (an eight-faced solid). In mathematics this modifier routinely means all faces and angles are congruent, so a learner who knows both constituent words can derive the full meaning without prior exposure.

Etymology

The shape regular octahedron can be pictured as two identical four-sided pyramids joined at their bases; this image makes it easy to see its form. That gives it eight equal triangular faces, and the word 'regular' shows the faces are all the same, so the name means a solid with eight equal triangle faces.