regular polyhedron
- noun
- /ˈrɛɡjələr ˌpɒlɪˈhɛdrən/
- Specialized
- The tetrahedron is the simplest regular polyhedron, consisting of four equilateral triangular faces.
Examples
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The dodecahedron is one example of a regular polyhedron with twelve pentagonal faces.
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The regular polyhedra include the tetrahedron and cube.
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A cube is the most familiar type of regular polyhedron found in everyday objects.
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Ancient Greek mathematicians classified each regular polyhedron based on its symmetry and geometry.
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A regular polyhedron has faces that are all the same shape.
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A regular polyhedron has faces that are all the same shape, such as a cube or tetrahedron.
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Mathematicians study the properties of regular polyhedra to understand their symmetry and geometry.
Synonyms
A 3D shape with all the same regular flat faces, like a cube or tetrahedron
A solid with the same flat faces and equal angles, like a cube
A solid with the same flat faces that are regular polygons and with all angles the same
A three-dimensional shape with identical regular flat faces, like a cube
A three-dimensional shape whose faces are the same flat shapes with all sides equal and equal angles between them
Surface Forms
Morphology
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.