Tessellations

problem
Polygon rings

Age

11 to 14

Challenge level

Join pentagons together edge to edge. Will they form a ring?
problem
L-triominoes

Age

14 to 16

Challenge level

L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?
problem
Polygon walk

Age

16 to 18

Challenge level

Go on a vector walk and determine which points on the walk are closest to the origin.
problem
Tiles in a public building

Age

7 to 11

Challenge level

What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?
problem
Repeating patterns

Age

5 to 7

Challenge level

Try continuing these patterns made from triangles. Can you create your own repeating pattern?
problem
The square hole

Age

14 to 16

Challenge level

If the yellow equilateral triangle is taken as the unit for area, what size is the hole ?
problem
Equal equilateral triangles

Age

14 to 16

Challenge level

Can you make a regular hexagon from yellow triangles the same size as a regular hexagon made from green triangles ?
problem
Tessellating capitals

Age

5 to 7

Challenge level

Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.
problem
Escher tessellations

Age

7 to 11

Challenge level

This practical investigation invites you to make tessellating shapes in a similar way to the artist Escher.
problem
Tessellating transformations

Age

7 to 11

Challenge level

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?