Free Printable Tessellations
- Do tessellations only occur with straight edged shapes? That's the million dollar question. Some mathematicians don't agree that curves should be included with tessellations, but others say, if it can be made up of any shape that can repeat, fill a flat surface with no resulting spaces or overlaps - it is a tessellation.
- Tessellations are the specific connection between math and art that I chose to study. I was inspired by the artwork of M.C. Escher, particularly his tessellation of the hyperbolic plane Circle Limit III. I studied geometries, tessellations and created my own tessellations based on my research.
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- Tessellations: The Link Between Math and Art. Tessellations are the specific connection between math and art that I chose to study. I was inspired by the artwork of M.C. Escher, particularly his tessellation of the hyperbolic plane Circle Limit III. I studied geometries, tessellations and created my own tessellations based on my research.
A pattern of shapes that fit perfectly together!
A Tessellation (or Tiling) is when we cover a surface with a pattern of flat shapes so that there are no overlaps or gaps.
Examples:
Octagons and Squares
In this post, we’ll show you how to create a lizard tessellation puzzle in the style of M. Escher, and at the bottom of the post you can print three simple tessellation shapes to color and cut out. This post contains Amazon affiliate links. When I think of tessellations, I immediately think of the artist M. Super coloring - free printable coloring pages for kids, coloring sheets, free colouring book, illustrations, printable pictures, clipart, black and white pictures, line art and drawings. Supercoloring.com is a super fun for all ages: for boys and girls, kids and adults, teenagers and toddlers, preschoolers and older kids at school.
Regular Tessellations
A regular tessellation is a pattern made by repeating a regular polygon.
There are only 3 regular tessellations:
Squares
4.4.4.4
Look at a Vertex ..
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For a regular tessellation, the pattern is identical at each vertex! |
Semi-regular Tessellations
A semi-regular tessellation is made of two or more regular polygons. The pattern at each vertex must be the same!
There are only 8 semi-regular tessellations:
3.3.3.4.4
3.4.6.4
3.12.12
4.8.8
To name a tessellation, go around a vertex and write down how many sides each polygon has, in order .. like '3.12.12'. For dummies free download pdf. |
| And always start at the polygon with the least number of sides, so '3.12.12', not '12.3.12' |
| Question 1: For the tessellations above, is the pattern the same at each vertex? |
| Question 2: One of those patterns becomes different when we make a mirror-image of it .. which one? |
Other Tessellations
There are also 'demiregular' tessellations, but mathematicians disagree on what they actually are!
And some people allow curved shapes (not just polygons) so we can have tessellations like these:
Circles
Tessellation Artist
Free Printable Tessellation Worksheets
All these images were made using Tessellation Artist, with some color added using a paint program.
Tessellation Templates To Print Out
Glock serial number chart. You can try it too - maybe you will invent a new tessellation!