Tessellations
problem
L-triominoes
L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?
problem
Polygon walk
Go on a vector walk and determine which points on the walk are
closest to the origin.
problem
Tiles in a public building
What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?
problem
Repeating Patterns
Try continuing these patterns made from triangles. Can you create your own repeating pattern?
problem
The Square Hole
If the yellow equilateral triangle is taken as the unit for area,
what size is the hole ?
problem
Equal Equilateral Triangles
Can you make a regular hexagon from yellow triangles the same size as a regular hexagon made from green triangles ?
problem
Tessellating Capitals
Have you ever tried tessellating capital letters? Have a look at
these examples and then try some for yourself.
problem
Escher Tessellations
This practical investigation invites you to make tessellating
shapes in a similar way to the artist Escher.
problem
Tessellating Transformations
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?