Hexagon vs. Octagon: Know the Difference
By Shumaila Saeed || Updated on December 25, 2023
A hexagon is a six-sided polygon, while an octagon is an eight-sided polygon.
Key Differences
A hexagon is a polygon with six straight sides and angles. An octagon, in contrast, is a polygon with eight straight sides and angles. Both shapes are examples of regular polygons when all sides and angles are equal.
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The hexagon typically has six lines of symmetry if regular, known for its prevalence in natural formations. The octagon, having eight sides, boasts eight lines of symmetry in its regular form, commonly seen in man-made structures like stop signs.
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Hexagons are unique in their ability to tessellate, or tile a plane without gaps, which is why they're seen in honeycombs. Octagons, however, cannot tessellate alone and are often paired with squares to cover a plane.
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The hexagon is often associated with harmony and balance in nature, evident in beehives. The octagon is frequently linked to regeneration and transition, symbolized in various cultural artifacts and architectural designs.
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Nov 22, 2023
Comparison Chart
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Usage in Tiling
Can tessellate alone
Cannot tessellate alone; often paired with squares
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Hexagon and Octagon Definitions
Hexagon
A hexagon is a six-sided polygon.
The honeycomb cells in a beehive are perfect hexagons.
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Octagon
Octagons can be regular, with equal sides and angles, or irregular.
The table's octagon shape had different side lengths, making it irregular.
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Hexagon
A hexagon can have various angles but six vertices.
The child's toy was shaped like a hexagon, each corner representing a vertex.
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Octagon
An octagon is less common in natural formations than a hexagon.
The octagon-shaped window added a unique element to the building's design.
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Hexagon
In geometry, a hexagon can be regular or irregular.
The artist drew a hexagon with unequal sides, demonstrating an irregular shape.
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Octagon
In an octagon, the internal angles add up to 1080 degrees.
In math class, we learned that the sum of the angles in an octagon is always 1080 degrees.
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Hexagon
Hexagons are notable for their efficiency in tiling and packing.
The game board was designed with hexagons to allow for versatile player movement.
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Octagon
Octagons are often used in architecture and design.
The garden featured an ornate octagon-shaped gazebo.
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Hexagon
The hexagon is often seen in natural formations.
The hexagon patterns on the turtle's shell are a remarkable example of nature's geometry.
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Octagon
An octagon is an eight-sided polygon.
The stop sign is an easily recognizable octagon.
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Octagon
(martial arts) Often in the form Octagon: the arena for mixed martial arts.
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Octagon
Any structure (as a fortification) or place with eight sides or angles.
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Repeatedly Asked Queries
Are hexagons common in nature?
Yes, hexagons are frequently seen in natural structures like honeycombs.
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What is the angle sum of a hexagon?
The sum of interior angles in a hexagon is 720 degrees.
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Can octagons tessellate on their own?
No, octagons require other shapes like squares to tessellate.
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Do octagons have equal sides and angles when regular?
In a regular octagon, all sides and angles are equal.
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Are all sides of a regular hexagon equal?
Yes, in a regular hexagon, all sides and angles are equal.
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Can octagons be found in nature?
Octagons are less common in nature compared to hexagons.
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Are hexagons and octagons only found in geometry?
They are primarily geometric figures but also appear in art, nature, and architecture.
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What is the angle sum of an octagon?
The sum of interior angles in an octagon is 1080 degrees.
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Nov 22, 2023
Is it possible to have a hexagon with unequal sides?
Yes, irregular hexagons have sides of different lengths.
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Do hexagons have a symbolic meaning?
Hexagons often symbolize balance and efficiency in nature.
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Do octagons have a cultural significance?
Octagons are often associated with regeneration and transition in various cultures.
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Are hexagons used in games?
Yes, hexagons are used in board games for their versatile tiling properties.
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Is an octagon always symmetrical?
A regular octagon is symmetrical, but irregular ones may not be.
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Can a hexagon have right angles?
No, a regular hexagon does not have right angles.
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Are octagons often used in road signs?
Yes, the stop sign is a common example of an octagon.
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About Author
Written by
Shumaila SaeedShumaila Saeed, an expert content creator with 6 years of experience, specializes in distilling complex topics into easily digestible comparisons, shining a light on the nuances that both inform and educate readers with clarity and accuracy.
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