What Is An 11 Sided Shape Called?
Shapes are all around us, and we encounter them every day. From basic geometric shapes like circles, triangles, and squares, to more complex shapes like polygons and polyhedrons, there is an endless variety of shapes to explore. In this article, we will explore the 11 sided shape, also known as an undecagon.
What is an Undecagon?
An undecagon is a polygon with 11 sides and 11 angles. It is a rare shape, and not one that we encounter often in our daily lives. However, it is a fascinating shape to study and explore.
Properties of an Undecagon
Like all polygons, an undecagon has certain properties that make it unique. For example, the sum of the interior angles of an undecagon is 1470 degrees. Each exterior angle of an undecagon is 32.7 degrees.
An undecagon can also be divided into 9 triangles, each with its own set of angles and properties. These triangles can be used to calculate the area and perimeter of the undecagon.
Real-World Examples of Undecagons
While undecagons are not commonly found in everyday life, there are some real-world examples of this shape. For example, some soccer balls are made up of undecagons and pentagons.
Another example can be found in architecture. The Kresge Auditorium at the Massachusetts Institute of Technology (MIT) is a building with an undecagon-shaped roof.
History of the Undecagon
The study of polygons, including undecagons, dates back to ancient times. The Greeks were interested in polygons and their properties, and many of the concepts and ideas that we use today were developed by Greek mathematicians.
In the Middle Ages, polygons were studied by Islamic mathematicians, who made many important contributions to the field.
Today, the study of polygons continues to be an important branch of mathematics, and undecagons are still being explored and studied by mathematicians around the world.
Fun Facts About Undecagons
Here are some interesting and fun facts about undecagons:
- Undecagons are also known as hendecagons or 11-gons.
- An undecagon cannot be constructed using a compass and straightedge alone.
- Undecagons are not considered "constructible" in the sense that they cannot be constructed using only a compass and straightedge.
- The word "undecagon" comes from the Greek words for "eleven" and "angle".
Conclusion
In conclusion, the 11 sided shape, or undecagon, is a fascinating polygon with unique properties and a rich history. While it may not be a shape that we encounter often in our daily lives, it is a shape that has captured the imaginations of mathematicians and designers for centuries.
So the next time you come across an undecagon, take a moment to appreciate its beauty and complexity!
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