# Resources tagged with: Tessellations

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There are 23 NRICH Mathematical resources connected to Tessellations, you may find related items under Transformations and constructions.

Broad Topics > Transformations and constructions > Tessellations

### Polygon Rings

##### Age 11 to 14Challenge Level

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

### Semi-regular Tessellations

##### Age 11 to 16Challenge Level

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

### Gibraltar Geometry

##### Age 11 to 14Challenge Level

Take a look at the photos of tiles at a school in Gibraltar. What questions can you ask about them?

### Tiles in a Public Building

##### Age 7 to 11Challenge Level

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

### Tessellation Interactivity

##### Age 7 to 16Challenge Level

An environment that enables you to investigate tessellations of regular polygons

### Outside the Box

##### Age 7 to 14

This article explores the links between maths, art and history, and suggests investigations that are enjoyable as well as challenging.

### Making Maths: Kites and Darts

##### Age 7 to 11Challenge Level

Using these kite and dart templates, you could try to recreate part of Penrose's famous tessellation or design one yourself.

### Escher Tessellations

##### Age 7 to 11Challenge Level

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

### Tessellating Transformations

##### Age 7 to 11Challenge 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?

### Tessellating Hexagons

##### Age 11 to 14Challenge Level

Which hexagons tessellate?

### Lafayette

##### Age 7 to 11Challenge Level

What mathematical words can be used to describe this floor covering? How many different shapes can you see inside this photograph?

### Maurits Cornelius Escher

##### Age 7 to 14

Have you ever noticed how mathematical ideas are often used in patterns that we see all around us? This article describes the life of Escher who was a passionate believer that maths and art can be. . . .

### Shaping up with Tessellations

##### Age 7 to 14

This article describes the scope for practical exploration of tessellations both in and out of the classroom. It seems a golden opportunity to link art with maths, allowing the creative side of your. . . .

### Shapely Tiling

##### Age 7 to 11Challenge Level

Use the interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?

### Bow Tie

##### Age 11 to 14Challenge Level

Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.

### Schlafli Tessellations

##### Age 11 to 18Challenge Level

are somewhat mundane they do pose a demanding challenge in terms of 'elegant' LOGO procedures. This problem considers the eight semi-regular tessellations which pose a demanding challenge in terms of. . . .

### LOGO Challenge - Tilings

##### Age 11 to 16Challenge Level

Three examples of particular tilings of the plane, namely those where - NOT all corners of the tile are vertices of the tiling. You might like to produce an elegant program to replicate one or all. . . .

### LOGO Challenge - Triangles-squares-stars

##### Age 11 to 16Challenge Level

Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.

### LOGO Challenge 5 - Patch

##### Age 11 to 16Challenge Level

Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?

### Triominoes

##### Age 11 to 14Challenge Level

A triomino is a flat L shape made from 3 square tiles. A chess board is marked into squares the same size as the tiles and just one square, anywhere on the board, is coloured red. Can you cover the. . . .

### Two by One

##### Age 7 to 11Challenge Level

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

### Tessellating Triangles

##### Age 7 to 11Challenge Level

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

### Penta Place

##### Age 7 to 11Challenge Level

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