Octagonal: meaning, definitions and examples

Geometry

• An octagonal shape has exactly eight angles, each can vary in size but adds up to a total of 1080 degrees.
• Regular octagons, where all sides and angles are equal, are often used in architecture for their pleasing design.
• The octagon is the second most common polygon used in construction after the triangle, due to its stability.

Cultural Significance

• In many cultures, the octagonal shape symbolizes balance and harmony, often representing a transition between the earthly and spiritual realms.
• Famous structures like the Octagon House in Washington, D.C., illustrate the historical use and popularity of octagonal designs in architecture.
• The octagon is commonly associated with stop signs in traffic systems, making it a recognizable symbol around the world.

Mathematics

• The simplest form of an octagonal number in math is achieved by using the formula n(3n−2), where n is a positive integer.
• Octagonal numbers are part of a sequence in number theory that explains how many dots can form an octagon.
• Their unique properties allow octagonal shapes to be studied in relation to symmetry and tiling patterns.

Art and Design

• The octagonal shape has been influential in art, seen in Islamic architecture where it often represents the heavens.
• Artists often use octagons in pattern designs, providing visually interesting layouts that draw the eye.
• Many games and puzzles utilize octagonal shapes in their design for enhanced aesthetic appeal and functional gameplay.

Science

• In nature, an octagonal pattern can be seen in certain types of crystals, where the atomic structure creates similar angles.
• Some molecular structures can approximate an octagonal shape, influencing chemical behavior and reactions.
• In computer graphics, octagonal grids can provide a more efficient way to design and model two-dimensional images.

With rank #19,891, this word belongs to specialized vocabulary. While not common in everyday speech, it enriches your ability to express complex ideas.

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• 19888 evocative
• 19889 fronted
• 19890 sloppy
• 19891 octagonal
• 19892 shoving
• 19893 deranged
• 19894 crevice
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