Tessellations

problem

Shapely Tiling

Age

7 to 11

Challenge 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?
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?
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

Gibraltar Geometry

Age

11 to 14

Challenge level

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

Bow Tie

Age

11 to 14

Challenge 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.
problem

Triominoes

Age

11 to 14

Challenge 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 board with trionimoes so that only the square is exposed?
problem

Tessellating Hexagons

Age

11 to 14

Challenge level

Which hexagons tessellate?
problem

Logo Challenge 5 - Patch

Age

11 to 16

Challenge level

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

Logo Challenge - Triangles-Squares-Stars

Age

11 to 16

Challenge 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.