Posts Tagged ‘irregular’

Interior Angles

Friday, November 20th, 2009

Interior Angles of Polygons

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Description

A detailed tutorial on interior angles of polygons. Step by step tutorial including several examples of interior angles of polygons for reference.

Overview

There are two types of angles on a polygon: interior and exterior angles. In this tutorial, we will focus on interior angles. Interior angles are the angles that are found along the inside of the polygon. Interior angles may seem more difficult to find than exterior angles, because they don’t always add up to the same measurement of degrees. However, there is a formula that can be used to find the total measure of the interior angles. This formula is (n – 2) * 180 = D, where n is the number of sides on the polygon, and D is the total measure of the degrees.

Exterior Angles

Friday, November 20th, 2009

Exterior Angles of Polygons

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Description

A detailed tutorial on exterior angles of polygons. Step by step tutorial including several examples of exterior angles of polygons for reference.

Overview

There are two types of angles on a polygon: interior and exterior angles. In this tutorial, we will focus on exterior angles. Exterior angles are the angles that are found when you draw a line of an angle on the outside of the polygon to form another angle. On a regular polygon, all the exterior angles should have the same measure. No matter what kind of polygon you have, the exterior angles will always add up to 360 degrees. Concave polygons are harder to find the measure of, because the exterior angles are negative, but they should still add up to 360 degrees. In order to find the measure of each individual exterior angle, simply use the formula 360 / n = D, where n is the number of sides, and D is the degree of each of the angles seperately. However, this formula only works for regular polygons, not irregular polygons.

Polyhedrons

Friday, November 13th, 2009

Overview of Polyhedrons

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Description

A detailed tutorial on polyhedrons. Step by step tutorial including several examples and a visual example of polyhedrons for reference.

Overview

Mathematicians have not yet decided what truely makes something a polyhedron, but in general they are accepted to be some 3D geometrical figure that has sides or faces, and usually at least one base. There are regular polyhedrons, which have all the same polygon making up their faces, and irregular polyhedrons – which are actually more common – where there are 2 or more shapes in them.

Fractals

Thursday, November 12th, 2009

How to Identify Fractals

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Description

A detailed tutorial on fractals. Step by step tutorial including several examples and a helpful visual example of fractals for reference.

Overview

A fractal is a geometric shape that can easily be split into parts. Each part is really just a small version of the whole. Fractals are often very rough or fractured looking shapes, which is how they got their name. The common features of a fractal is that it has a fine structure at small scales, it is an irregular shape, it is self-similar, and it has a recursive definition as well as a simple one. One of the most famous and well-known fractals is the Mandelbrot set.

Decagon

Tuesday, November 10th, 2009

How to Identify Decagons

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Description

A detailed tutorial on how to identify decagons. Step by step tutorial including several examples of identifying decagons for reference.

Overview

A decagon is any polygon that has ten sides. Decagons can either be regular or irregular. Regular decagons are close to the shape of a circle with 10 straight edges. Irregular decagons are any other shape that has ten sides, provided that it is still considered a polygon.

Nonagon

Tuesday, November 10th, 2009

How to Identify Nonagons

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Description

A detailed tutorial on how to identify nonagons. Step by step tutorial including several examples of identifying nonagons for reference.

Overview

A nonagon is any polygon that has nine sides. Nonagons can either be regular or irregular. Regular nonagons are close to the shape of a circle with 9 straight edges. Irregular nonagons are any other shape that has nine sides, provided that it is still considered a polygon.

Octagon

Tuesday, November 10th, 2009

How to Identify Octagons

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Description

A detailed tutorial on how to identify octagons. Step by step tutorial including several examples of identifying octagons for reference.

Overview

An octagon is any polygon that has eight sides. Octagons can either be regular or irregular. Regular octagons are close to the shape of a circle with 8 straight edges. Irregular octagons are any other shape that has eight sides, provided that it is still considered a polygon.

Heptagon

Tuesday, November 10th, 2009

How to Identify Heptagons

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Description

A detailed tutorial on how to identify heptagons. Step by step tutorial including several examples of identifying heptagons for reference.

Overview

A heptagon is any polygon that has seven sides. Heptagons can either be regular or irregular. Regular heptagons are close to the shape of a circle with 7 straight edges. Irregular heptagons are any other shape that has seven sides, provided that it is still considered a polygon.

Hexagon

Tuesday, November 10th, 2009

How to Identify Hexagons

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Description

A detailed tutorial on how to identify hexagons. Step by step tutorial including several examples of identifying hexagons for reference.

Overview

A hexagon is any polygon that has six sides. Hexagons can either be regular or irregular. Regular hexagons are close to the shape of a circle with 6 straight edges. Irregular hexagons are any other shape that has six sides, provided that it is still considered a polygon.

Pentagon

Tuesday, November 10th, 2009

How to Identify Pentagons

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Description

A detailed tutorial on how to identify pentagons. Step by step tutorial including several examples of identifying pentagons for reference.

Overview

A pentagon is any polygon that has five sides. Pentagons can either be regular or irregular. Regular pentagons are close to the shape of a house. Irregular pentagons are any other shape that has five sides, provided that it is still considered a polygon.

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