spherical polygon: meaning, definition, pronunciation and examples
C2Specialized/Technical
Quick answer
What does “spherical polygon” mean?
A closed geometric figure on the surface of a sphere, formed by arcs of great circles.
Audio
Pronunciation
Definition
Meaning and Definition
A closed geometric figure on the surface of a sphere, formed by arcs of great circles.
A generalization of a planar polygon to a spherical surface, used in geometry, astronomy, and geodesy. The sides are not straight lines but segments of great circles, and the angles and area formulas differ from their planar equivalents.
Dialectal Variation
British vs American Usage
Differences
No significant lexical or definitional differences. The term is identical in both varieties.
Connotations
Neutral, purely technical term in both regions.
Frequency
Extremely rare outside specific technical fields (e.g., mathematics, cartography, astronomy) in both varieties.
Grammar
How to Use “spherical polygon” in a Sentence
[spherical polygon] + [preposition] + [surface][to construct/draw] + [a spherical polygon][the area/angles] + [of] + [a spherical polygon]Vocabulary
Collocations
Examples
Examples of “spherical polygon” in a Sentence
verb
British English
- One can *spherical-polygonise* a region on the celestial sphere for measurement purposes. (Highly contrived, technical neologism)
American English
- The software function is designed to *tessellate* the sphere into spherical polygons. (Using a related verb)
Usage
Meaning in Context
Business
Virtually never used.
Academic
Used in advanced mathematics, geometry, and astronomy courses and research.
Everyday
Almost never encountered. Would confuse most listeners.
Technical
Standard term in spherical geometry, geodesy, computational geometry, and some branches of physics.
Vocabulary
Synonyms of “spherical polygon”
Strong
Neutral
Weak
Vocabulary
Antonyms of “spherical polygon”
Watch out
Common Mistakes When Using “spherical polygon”
- Using it to mean a 'polyhedron' (like a dodecahedron). A spherical polygon is a 2D shape *on* a sphere, not a 3D shape.
- Assuming its sides are 'straight' lines or that its internal angles sum to (n-2)*180°.
FAQ
Frequently Asked Questions
No, it is a two-dimensional shape, but it exists on the curved two-dimensional surface of a sphere, not on a flat plane.
A spherical digon (2 sides) is possible on a sphere, but the simplest non-degenerate case is the spherical triangle (3 sides).
In the tiles of a soccer ball pattern, in the boundaries of time zones or countries on a globe, or in computer graphics for rendering spherical environments.
Its area is proportional to the 'spherical excess'—the amount by which the sum of its interior angles exceeds the sum for a planar polygon with the same number of sides.
Spherical polygon is usually specialized/technical in register.
Spherical polygon: in British English it is pronounced /ˈsfɛrɪkəl ˈpɒlɪɡən/, and in American English it is pronounced /ˈsfɪrɪkəl ˈpɑːliɡɑːn/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think of the seams on a football (soccer ball) or the lines dividing countries on a globe; these often approximate spherical polygons.
Conceptual Metaphor
A 'POLYGON IS A FENCED AREA' metaphor extends to the sphere: the great circle arcs are fences on the curved surface enclosing a region.
Practice
Quiz
What is a defining property of a spherical polygon's sides?