Tessellations

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?
interactivity
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Tessellation interactivity

Age

7 to 16

Challenge level

An environment that enables you to investigate tessellations of regular polygons
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
Polygon rings

Age

11 to 14

Challenge level

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