* The mathematical theories behind ornaments, patterns, tessellations andВ symmetries * Tiles, wallpapers and reflection groups You can use the appвЂ™s interactive teaching tools to explain: IOrnament also contains some valuable resources for investigating patterns.

Use templates to experiment and see how changes in repeating structures effect imagery. Choose from a great variety of tools and build up layers to produce complex compositions. iOrnament allows students to lay down sensitive digital marks and produce painterly effects, glowing imagery, etc. Use swipes to draw without limitations, adding color, changing the expressive qualities of the lines and manipulating shapes. This app is a great way to create digital patterns and to start investigating tessellations. Here are some great apps to get you startedвЂ¦including a few that arenвЂ™t strictly about tessellation, but are useful for concepts such as symmetry, repletion, glance, etc. Sarah Jones has also created an excellent Escher resource вЂ“ check out her Learnist Board with links to explore the relationship between his art and mathematical principles. It also has some excellent background on the вЂKing of TessellationsвЂ™, MC Escher. If you want some great lesson ideas, information and activities that bring maths and art together, check out this site. They can also be used to make strong links to other subjects, particularly maths (incremental increases, angles, space, golden ratio, etc). Not only are tessellations fun to create, they can teach students about the function, and relationship between, the elements of art (line, shape, colour, etc). Patterns created this way have an incredible mathematical rhythm. The collection of figures on the plane have no gaps and no overlaps. A tessellation is created when a shape is repeated over and over again.

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