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Apr 24, 2017 How to Make Rotation Tessellations. The point can be a corner of the tessellation, anywhere along a side or at a point that is not a part of the tessellation. Rotate the figure. This process will depend on how exactly your tessellation was made. If it was drawn on paper, for example, the artist can turn the page and redraw the figure. Get unlimited, ad-free access to all of TeacherVision's printables and resources for as low as $2.49 per month. We have a plan for every budget. Select a plan. All plans include a free trial and enjoy the same features. Cancel anytime. Learn more about Premium.
Mathematics and Art come together!
Instructions
First - just play with it! Draw on it. Try the different tools and see what happens.
Tiling Directions
Tessellation Maker Free Online
You can control the spacing:
- Blue dot controls x-y spacing of grid
- Red dot controls rotation of the grid
Best to just try dragging the dots to see what happens!
Polygons
You can draw regular polygons using the polygon tool. Choose the number of sides, from 3 (Triangles) to 12 (Dodecagons). You may also need to adjust the angle to get the desired effect.
Nudge and Undo
![Printable Printable](https://live.staticflickr.com/30/37339655_2b9a0607d7_z.jpg)
You can nudge the most recent addition by using the up down left right keys.
Press ctrl to make smaller adjustments.
Press ctrl to make smaller adjustments.
You can also use 'Undo' to remove the last shape.
What Can You Make?
You can make all kinds of interesting patterns! Telugu songs download 320kbps. Have a look at the Tessellation page - there are lots of examples of tiling patterns that were made using tessellation artist (some color was added using a simple paint program).
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
Tessellation Creator Online
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 ..
| |
| |
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'. |
And always start at the polygon with the least number of sides, so '3.12.12', not '12.3.12' |
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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
Free Printable 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
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Tessellation Artist
Tessellation Creator
All these images were made using Tessellation Artist, with some color added using a paint program.
You can try it too - maybe you will invent a new tessellation!