How To: Work with tessellation shapes in geometry

Work with tessellation shapes in geometry

Not all polygons are tessellation shapes. A tessellation is a collection of figures that can be put together to fill a plane surface without overlaps or gaps. I'm sure that you have already seen many tessellations in real life. The tiles in the kitchen and the puzzle you have solved are nothing but tessellations.

Let's talk a little about the math in tessellations. If you want to cover the plane with regular congruent polygons, you are trying to create a regular tessellation. This type of tessellation can not be achieved with any type of polygons.

Regular polygons have all sides and all angles congruent. The equilateral triangle, the square, the regular pentagon are all examples of regular polygons. Did you know that you cannot create a tessellation with regular pentagons? Or with regular octagons? As a matter of fact there are only three types of regular polygons that can be used to make regular tessellations.

They are:

• The equilateral triangle
• The square
• The regular hexagon

In the above video you can see how easy it is to create a tessellation with these types of regular polygons.

Want to master Microsoft Excel and take your work-from-home job prospects to the next level? Jump-start your career with our Premium A-to-Z Microsoft Excel Training Bundle from the new Gadget Hacks Shop and get lifetime access to more than 40 hours of Basic to Advanced instruction on functions, formula, tools, and more.

Buy Now (97% off) >

Other worthwhile deals to check out:

Join the Next Reality AR Community

Get the latest in AR — delivered straight to your inbox.

Be the First to Comment

Share Your Thoughts

  • Hot
  • Latest