Tessellations

There are 32 NRICH Mathematical resources connected to Tessellations

problem

Favourite

Polygon rings

Age

11 to 14

Challenge level

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

problem

Favourite

Repeating patterns

Age

5 to 7

Challenge level

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

problem

Favourite

Semi-regular tessellations

Age

11 to 16

Challenge level

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

problem

Favourite

Cover the camel

Age

5 to 7

Challenge level

Can you cover the camel with these pieces?

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

Penta place

Age

7 to 11

Challenge level

Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?

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

Tessellating triangles

Age

7 to 11

Challenge level

Can you make these equilateral triangles fit together to cover the paper without any gaps between them? Can you tessellate isosceles triangles?

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

Two by one

Age

7 to 11

Challenge level

An activity making various patterns with 2 x 1 rectangular tiles.

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For younger learners

Tessellations

Polygon rings

Repeating patterns

Semi-regular tessellations

Cover the camel

Escher tessellations

Penta place

Tessellating capitals

Tessellating triangles

Equal equilateral triangles

Two by one