vertices
Low frequency (B2-C2). It is a specialist term common in mathematics, science, and computing.Formal, technical, academic.
Definition
Meaning
The plural form of 'vertex'; a point where two or more lines, edges, or curves meet, especially in geometry, mathematics, and 3D modeling.
In graph theory, vertices (also called nodes) are the fundamental units of a graph. In geography, a vertex can refer to the highest point. In computer graphics, vertices define the shape and structure of 3D models.
Linguistics
Semantic Notes
The singular 'vertex' comes from Latin, meaning 'a turning point' or 'summit.' 'Vertices' is the standard, learned plural, while 'vertexes' is a less common, regularized plural sometimes found in less technical contexts.
Dialectal Variation
British vs American Usage
Differences
Usage is identical in meaning and context. The spelling is the same.
Connotations
No difference in connotation; both use the term in the same technical domains.
Frequency
Slightly more frequent in American English due to its prevalence in technology and engineering sectors.
Vocabulary
Collocations
Grammar
Valency Patterns
The polygon has [number] vertices.Connect the vertices to form [shape].The algorithm processes the vertices of the graph.Vocabulary
Synonyms
Strong
Neutral
Weak
Vocabulary
Antonyms
Phrases
Idioms & Phrases
- “At the vertex of power (rare, metaphorical).”
Usage
Context Usage
Business
Rare, except in data visualization or tech-focused discussions (e.g., 'The network graph shows key vertices representing our major clients.').
Academic
Common in mathematics, physics, computer science, and engineering papers.
Everyday
Virtually never used in casual conversation.
Technical
The primary domain. Used in geometry, 3D modeling, graph theory, and computer graphics.
Examples
By CEFR Level
- A triangle has three vertices.
- The cube has eight vertices.
- The software allows you to manipulate the vertices of the 3D model to change its shape.
- In this graph, the vertices represent cities, and the edges represent roads.
- The algorithm's efficiency depends on how it traverses the vertices and edges of the data structure.
- Non-adjacent vertices in the polygon were connected by a diagonal.
Learning
Memory Aids
Mnemonic
Think of VERT-Ices: 'VERT' as in 'vertical' or 'turn' (Latin origin), and the ending '-ices' like in 'matrices' or 'indices' – all are technical plurals.
Conceptual Metaphor
Vertices are CONNECTION POINTS / FOUNDATIONAL POINTS. They are the critical junctures that define a structure's shape and connectivity.
Watch out
Common Pitfalls
Translation Traps (for Russian speakers)
- Do not confuse with 'верхушки' (tops) in a general sense. It's specifically a geometrical/technical term: 'вершины' (geometric), 'узлы' (graph theory).
- The plural form 'vertices' is irregular; avoid calquing a regular plural like 'vertexes' in formal writing.
Common Mistakes
- Using 'vertexes' in formal academic writing (though acceptable, 'vertices' is preferred).
- Pronouncing it as /vɜːrˈtaɪ.siːz/ (incorrect stress and vowel).
- Confusing 'vertex' with 'vortex'.
- Using 'vertices' as a singular noun (e.g., 'a vertices').
Practice
Quiz
Which of the following is the most precise synonym for 'vertices' in the context of graph theory?
FAQ
Frequently Asked Questions
Yes, 'vertexes' is an accepted plural, but 'vertices' (from Latin) is the traditional and more common form in technical and academic writing.
In everyday language, they can be synonyms for shapes. In technical use, 'vertex' is precise in geometry and computing, while 'corner' is more general.
Rarely. It is sometimes used in descriptive anatomy (e.g., the vertex of the skull) but the plural in that context is usually 'vertexes' or simply 'vertex' as a mass noun.
In British English: /ˈvɜː.tɪ.siːz/ (VUR-ti-seez). In American English: /ˈvɝː.tə.siːz/ (VUR-tuh-seez). The stress is on the first syllable.