Pentagonal Meaning: Definition, Examples, and Translations
๐บ
pentagonal
[pษnหtรฆษกษnษl ]
Definition
shape
Pentagonal refers to a shape that has five sides and five angles. This term is derived from the Greek word 'pentagonon', which translates to 'five angles'. Pentagonal shapes can be found in various mathematical contexts and geometric figures.
Synonyms
five-sided, pentagon-shaped.
Examples of usage
- A pentagonal table has five sides.
- The pentagonal design of the building is quite unique.
- In geometry, a pentagonal prism is a solid figure with two pentagonal bases.
- The artist painted a pentagonal pattern on the canvas.
Translations
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Interesting Facts
Geometry
- A pentagon has five sides and five angles, and the sum of its interior angles is 540 degrees.
- Regular pentagons have equal sides and angles, while irregular ones can have sides and angles of different lengths.
- Pentagons can be found everywhere, from architectural designs to nature, such as in the structure of certain flowers.
Art and Architecture
- The famous Pentagon building in Arlington, Virginia, is shaped like a pentagon, symbolizing the U.S. Department of Defense.
- Many star-shaped designs in art incorporate pentagons, adding both aesthetic appeal and symmetry.
- The pentagon features prominently in Islamic art, where its geometric precision is celebrated in intricate patterns.
Mathematics
- In mathematics, pentagonal numbers are figurate numbers that can form a pentagon and can be calculated using the formula n(3nโ1)/2.
- Pentagons can tessellate in certain patterns with other shapes but are less straightforward than squares or hexagons.
- The concept of a pentagonal tiling was explored by mathematicians, revealing interesting properties of angles and symmetry.
Nature
- Certain starfish exhibit a pentagonal symmetry, which helps them in balancing and moving in their aquatic environments.
- The cross-section of some fruits, like a bell pepper or star fruit, can reveal a pentagonal shape, adding to their uniqueness.
- In biology, some flowers exhibit a pentagonal arrangement in their petals, contributing to their beauty and evolutionary advantage.
Culture
- The pentagram, a five-pointed star, is often used in spirituality and rituals, representing various elements and life forces.
- In modern pop culture, the pentagon shape can symbolize stability and order, appearing in logos and branding.
- Games like Dungeons & Dragons use pentagonal dice to add complexity and randomness to gameplay.
Origin of 'pentagonal'
The term 'pentagonal' originates from the Greek word 'pentagonon', which combines 'penta' meaning five and 'gonia' meaning angle. Its usage has been primarily in mathematical and geometrical contexts, specifically referring to polygons with five sides. The concept of pentagonal shapes dates back to ancient Greek civilization, where geometry played a crucial role in architecture and philosophy. Throughout history, the study of polygons has evolved, but the basic definition of a pentagon has remained consistent. This adjective has been applied in various scientific and artistic disciplines, including design, architecture, and mathematics.
Word Frequency Rank
At rank #28,027, this word represents specialized academic or technical vocabulary. It's less frequently encountered but may be valuable in specific contexts.
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