A Hexagon Has How Many Sides – A hexagon is a planar figure with six straight sides enclosing an area. This simple definition allows several types of hexagons:
A regular hexagon has six sides of equal length and six equal interior angles. Regular hexagons can also be called equilateral hexagons, they are always convex hexagons.
A Hexagon Has How Many Sides
Like other regular polygons, regular hexagons have several symmetries: they have six lines of reflection symmetry and six lines of rotational symmetry. All regular hexagons also have equal interior angles
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An irregular hexagon does not have six congruent sides and six congruent interior angles. An irregular hexagon is any hexagonal planar figure that encloses space.
Irregular hexagons have different side lengths and different interior angles. Irregular hexagons can be concave or convex. Here are two examples of what a bumpy irregular hexagon looks like:
Both hexagons in the picture are irregular, but the one on the left is convex and the one on the right is concave.
Note the side lengths of the irregular hexagon on the right. The line segment at the top of the hexagon has a different side length than the side at the bottom.
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Complex hexagons are self-intersecting hexagons. The most common complex hexagon is the hexagonal star, also known as the Star of David:
Hexagons are hexagonal planar figures that have many fascinating properties and characteristics in both the natural and human worlds.
A hexagon is a good compromise between enclosed area and strength, since it can be repeated with an equilateral triangle. It’s easy to tessellate, and for all these reasons hexagons are often used in fabrication.
Bolts and nuts are also usually hexagonal. Hexagonal mosaics on floors or bathroom walls are also common in domestic and commercial interiors.
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Nature and physical forces make hexagons popular polygons. Soap bubbles, honeycombs and honeycombs, crystals are all hexagonal.
Other famous objects that use hexagonal shapes include the stunning hexagon at Saturn’s north pole and the molecular structure of benzene. Snowflakes and minerals such as beryl, nepheline, and hanksite are hexagonal
Malcolm has a Masters in Education and holds four teacher certifications. He has been a public school teacher for 27 years, 15 of which as a math teacher.
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In mathematics and geometry, a hexagon is defined as a 6-sided polygon (a closed two-dimensional shape with straight sides).
A regular hexagon is defined as a 6-sided polygon with equal sides and equal angles – meaning that all sides are the same length and all corners are the same size.
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An irregular hexagon is defined as an irregular 6-sided polygon – meaning that all sides and corners are not the same size.
In geometry, you’ll mostly be dealing with regular hexagons. It is important to understand their three main characteristics:
For example, a regular hexagon is also convex because all interior angles are equal to 120° and less than 180°.
As mentioned earlier, each interior angle in a hexagon measures 120°, and the sum of all interior angles is 720°.
Lesson Video: Hexagons
But why? Since a regular hexagon has 6 angles, each equal to 120°, the sum is:
Additionally, you can use the sum of interior angles of a polygon formula to calculate the sum of interior angles of any regular polygon.
Apply the polygon interior formula to the hexagon, replacing n with 6 (since the hexagon has 6 sides), as follows:
The hexagon is a simple yet remarkable shape that can be found everywhere – from art to architecture to nature. Here are some notable examples of hexagons in real life:
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Did you know that all snowflakes are hexagons? When ice crystals form, the molecules connect in a hexagonal structure. Mother Nature has determined that this form is the most efficient way for snowflakes to form.
Regular hexagons are one of only three polygons that can tessellate a plane – meaning they can be copied infinitely to fill a space without gaps. When bees build their honeycombs, they choose to use hexagons. always!
Bees aren’t the only animals that understand the power and efficiency of hexagons. Ancient and modern buildings use this form continuously, from floor tiles to windows to ornate ceiling designs. Hexagons are everywhere!
Because of their beautiful shape and ability to tessellate, hexagons are often used in art and graphic design to create patterns, mosaics, logos, and more!
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Because regular hexagons occur so often in nature (such as snowflakes and honeycombs), they are often included in sacred geometry, giving higher meaning and spirituality to certain shapes and relationships. In fact, some consider the hexagon to be the most fascinating shape associated with the universe. What is a hexagon? If you’re teaching geometry in a math class, you might want to brush up on the different shape names and properties before diving into it. A hexagon is a two-dimensional shape with six sides and six corners.
This also means that hexagons are polygons. A polygon is a flat two-dimensional shape with straight sides. Polygons enclose a space and they have no curved sides.
From types of hexagons to properties of hexagons, let’s take a look at some hexagon facts and examples of hexagons that your students might be able to recognize from everyday life!
As mentioned above, a hexagon has six sides, making it a hexagonal polygon. The “hex” part of the word reminds us that it has 6 sides. After all, witch comes from the Greek word ἕξ, which means “six.” The rest of the shape’s words also come from the Greek γωνία, gonía, meaning “horn corner”.
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There are five main types of hexagons your students may encounter. Hexagons can be regular, irregular, concave, convex or complex.
A regular hexagon is a closed polygon with six equal sides and six equal angles. Each regular hexagon can be identified by specific properties.
As the name suggests, an irregular hexagon is an irregular 6-sided polygon. This means that the sides and angles are not equal, but other characteristics of hexagons still apply. For example, an irregular hexagon is still two-dimensional, with sides made of straight lines.
You might recognize the concave hexagons on some military jackets or even on the arms of the cops in your town. These hexagons are deeply indented inside, but they still qualify as polygons. To be described as concave, a hexagon has at least one interior angle greater than 180 degrees.
What Is A Hexagon?
The best known natural hexagons are the honeycombs found in beehives. Bees are good at building uniform hexagons. The eyes of bees are made up of thousands of hexagonal lenses.
Snowflakes and certain crystals are also examples of hexagons, and one of the hexagons students are most familiar with is on the side of a soccer ball in their gym class. The light panels on the football are – you guessed it – hexagons! A traditional soccer ball has a pentagonal shape that makes up the darker part.
Often elementary school symmetry lessons don’t extend to hexagonal symmetry, but you might have an older student eager to learn more! A regular hexagon has six rotational symmetries (sixth order rotational symmetry) and six reflection symmetries (six lines of symmetry). The longest diagonal of a regular hexagon connecting diametrically opposite vertices is twice the length of a side of the shape.
A diagonal is a line connecting two opposite corners of a straight-sided shape. For a regular hexagon, the nine diagonals form six equilateral triangles.
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Subdivided shapes can be repeated across surfaces without leaving gaps or overlapping. The sides of these shapes are straight and can rest against each other. Triangles and squares form tessellations; circles and pentagons do not. Hexagons (which themselves consist of triangular triangles) do form tessellations.
Because hexagons are tessellated shapes, these geometric shapes are often used in tile patterns and architecture. Look around the school floor. you can
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