dihedron: meaning, definition, pronunciation and examples
Very low (C2+)Technical/Scientific
Quick answer
What does “dihedron” mean?
A three-dimensional shape formed by two planes meeting at an edge.
Audio
Pronunciation
Definition
Meaning and Definition
A three-dimensional shape formed by two planes meeting at an edge.
In geometry, a degenerate polyhedron with two faces that are congruent polygons sharing a common edge; it can be thought of as a 'two-faced' solid, essentially a wedge shape or an open book shape.
Dialectal Variation
British vs American Usage
Differences
No significant differences in meaning or usage. Spelling and pronunciation are consistent.
Connotations
None beyond its strict technical definition.
Frequency
Extremely rare in both varieties, confined to highly technical texts.
Grammar
How to Use “dihedron” in a Sentence
The dihedron is formed by [two planes/n-gons]A dihedron with [specified angle]Classify the polyhedron as a dihedronVocabulary
Collocations
Examples
Examples of “dihedron” in a Sentence
adjective
British English
- The dihedral shape was approximated by a degenerate dihedron.
American English
- The model exhibited a dihedron configuration.
Usage
Meaning in Context
Business
Never used.
Academic
Used in advanced geometry, topology, or crystallography papers and textbooks.
Everyday
Virtually unknown and never used.
Technical
The primary domain. Used to describe a specific geometric construct.
Vocabulary
Synonyms of “dihedron”
Strong
Neutral
Weak
Vocabulary
Antonyms of “dihedron”
Watch out
Common Mistakes When Using “dihedron”
- Mispronouncing as 'die-hedron' (like 'die') instead of 'dye-hedron'.
- Confusing it with a 'dihedral angle' (the angle between the two planes).
- Using it as a general term for any wedge.
FAQ
Frequently Asked Questions
Yes, but it is considered a 'degenerate' or flat polyhedron. It has zero volume, as its two faces lie in non-parallel planes, meeting only at an edge.
A dihedral angle is the angle between two intersecting planes. A dihedron is the three-dimensional figure formed by those two planes and the space (or surface) between them.
Almost exclusively in advanced textbooks or papers on geometry, mathematical topology, or crystallography. It is not a word used in everyday language.
In its strictest Euclidean geometric sense, the faces are planar polygons. In more abstract or differential geometry, the concept could be extended to curved surfaces meeting at a curve, but the term is typically reserved for the planar case.
A three-dimensional shape formed by two planes meeting at an edge.
Dihedron is usually technical/scientific in register.
Dihedron: in British English it is pronounced /daɪˈhiːdrən/, and in American English it is pronounced /daɪˈhidrən/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think 'DI-HEDRON': 'DI' means two (like in dioxide) and 'HEDRON' means face or seat (like in polyhedron). So, a shape with TWO FACES.
Conceptual Metaphor
An open book (the spine is the shared edge, the pages are the two planes).
Practice
Quiz
A dihedron is best described as: