Tessellations

Join pentagons together edge to edge. Will they form a ring?

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

Go on a vector walk and determine which points on the walk are closest to the origin.

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

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

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

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

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

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

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?