polyhedron: meaning, definition, pronunciation and examples
C2Technical/Academic
Quick answer
What does “polyhedron” mean?
A three-dimensional solid figure bounded by flat polygonal faces, straight edges, and vertices.
Audio
Pronunciation
Definition
Meaning and Definition
A three-dimensional solid figure bounded by flat polygonal faces, straight edges, and vertices.
In a broader mathematical and metaphorical sense, any complex, multi-faceted structure or system composed of interconnected planes or elements.
Dialectal Variation
British vs American Usage
Differences
No significant differences in meaning or spelling. Usage is identical across both varieties.
Connotations
Identical technical/mathematical connotations in both dialects.
Frequency
Equally low-frequency in both UK and US English, confined to mathematical, scientific, architectural, and gaming contexts.
Grammar
How to Use “polyhedron” in a Sentence
[the] polyhedron [has/consists of] X facesa polyhedron [made of/constructed from] Y[to] calculate the volume of a polyhedronVocabulary
Collocations
Examples
Examples of “polyhedron” in a Sentence
adjective
British English
- The polyhedral dice set included a d20.
- They studied polyhedral geometry.
American English
- The polyhedral dice set included a d20.
- They studied polyhedral geometry.
Usage
Meaning in Context
Business
Rarely used; might appear metaphorically in strategic planning: 'Our new market approach is a polyhedron of interconnected strategies.'
Academic
Common in mathematics, geometry, crystallography, computer graphics, and topology.
Everyday
Virtually never used in casual conversation.
Technical
Precise term in geometry, 3D modelling, game design (for dice, etc.), and architecture.
Vocabulary
Synonyms of “polyhedron”
Strong
Neutral
Weak
Vocabulary
Antonyms of “polyhedron”
Watch out
Common Mistakes When Using “polyhedron”
- Misspelling as 'polyhydron' or 'polyedron'.
- Using 'polygon' (2D) instead of 'polyhedron' (3D).
- Incorrect plural 'polyhedrons' in strict mathematical writing where 'polyhedra' is preferred.
FAQ
Frequently Asked Questions
A polygon is a two-dimensional shape with straight sides (e.g., a square). A polyhedron is a three-dimensional solid with flat polygonal faces (e.g., a cube).
They are called the Platonic solids: tetrahedron (4 faces), cube/hexahedron (6 faces), octahedron (8 faces), dodecahedron (12 faces), and icosahedron (20 faces).
Both are accepted. 'Polyhedra' is the traditional Greek plural often used in academic mathematics, while 'polyhedrons' is a regular English plural common in general usage.
No, by strict geometric definition, a polyhedron must have flat, polygonal faces. A solid with curved faces is not a polyhedron (e.g., a sphere or cylinder).
A three-dimensional solid figure bounded by flat polygonal faces, straight edges, and vertices.
Polyhedron is usually technical/academic in register.
Polyhedron: in British English it is pronounced /ˌpɒl.iˈhiː.drən/, and in American English it is pronounced /ˌpɑː.liˈhiː.drən/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “A multi-faceted issue can be described metaphorically as 'a social polyhedron'.”
Learning
Memory Aids
Mnemonic
Think 'POLY' (many) + 'HEDRON' (seat/face from Greek) = 'many faces'. Imagine a many-sided dice.
Conceptual Metaphor
COMPLEXITY IS A POLYHEDRON (e.g., 'a polyhedron of arguments'), STRUCTURE IS GEOMETRIC.
Practice
Quiz
Which of the following is NOT a polyhedron?