![Polygon Rings](/sites/default/files/styles/medium/public/thumbnails/content-id-11231-icon.jpg?itok=OSA8CYS6)
Tessellations
![Polygon Rings](/sites/default/files/styles/medium/public/thumbnails/content-id-11231-icon.jpg?itok=OSA8CYS6)
![L-triominoes](/sites/default/files/styles/medium/public/thumbnails/content-id-7026-icon.jpg?itok=wR5z1By2)
problem
L-triominoes
L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?
![Polygon walk](/sites/default/files/styles/medium/public/thumbnails/content-id-6632-icon.png?itok=ObqfFKyW)
problem
Polygon walk
Go on a vector walk and determine which points on the walk are
closest to the origin.
![Tiles in a public building](/sites/default/files/styles/medium/public/thumbnails/content-id-6193-icon.png?itok=YSaa6JBZ)
problem
Tiles in a public building
What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?
![Repeating Patterns](/sites/default/files/styles/medium/public/thumbnails/content-id-5944-icon.png?itok=7ybL8Ve9)
problem
Repeating Patterns
Try continuing these patterns made from triangles. Can you create your own repeating pattern?
![The Square Hole](/sites/default/files/styles/medium/public/thumbnails/content-id-5909-icon.jpg?itok=P2y5pT2q)
problem
The Square Hole
If the yellow equilateral triangle is taken as the unit for area,
what size is the hole ?
![Equal Equilateral Triangles](/sites/default/files/styles/medium/public/thumbnails/content-id-5908-icon.jpg?itok=AoK9cz-N)
problem
Equal Equilateral Triangles
Can you make a regular hexagon from yellow triangles the same size as a regular hexagon made from green triangles ?
![Tessellating Capitals](/sites/default/files/styles/medium/public/thumbnails/content-id-4976-icon.jpg?itok=FBxGotEF)
problem
Tessellating Capitals
Have you ever tried tessellating capital letters? Have a look at
these examples and then try some for yourself.
![Escher Tessellations](/sites/default/files/styles/medium/public/thumbnails/content-id-4975-icon.jpg?itok=lt0QPuFA)
problem
Escher Tessellations
This practical investigation invites you to make tessellating
shapes in a similar way to the artist Escher.
![Tessellating Transformations](/sites/default/files/styles/medium/public/thumbnails/content-id-4965-icon.png?itok=KZBp4xn_)
problem
Tessellating Transformations
Can you find out how the 6-triangle shape is transformed in these
tessellations? Will the tessellations go on for ever? Why or why
not?