### There are 18 results

Broad Topics >

Transformations and constructions > Tessellations

##### Age 14 to 18 Challenge Level:

Triangle ABC has equilateral triangles drawn on its edges. Points
P, Q and R are the centres of the equilateral triangles. What can
you prove about the triangle PQR?

##### Age 11 to 18 Challenge 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. . . .

##### Age 11 to 16 Challenge 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. . . .

##### Age 14 to 16 Challenge Level:

Using the interactivity, can you make a regular hexagon from yellow triangles the same size as a regular hexagon made from green triangles ?

##### 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. . . .

##### Age 11 to 14 Challenge Level:

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

##### 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?

##### Age 7 to 16 Challenge Level:

An environment that enables you to investigate tessellations of
regular polygons

##### 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.

##### 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. . . .

##### Age 14 to 16 Challenge Level:

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

##### 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?

##### 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.

##### Age 11 to 14 Challenge Level:

Which hexagons tessellate?

##### Age 11 to 16 Challenge Level:

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

##### 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. . . .

##### Age 7 to 14

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

##### 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?