Pentagonal: meaning, definitions and examples

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(3n−1)/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.

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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