# Tessellation

## Background vocabulary

*A tessellation* is a plane (flat surface) of tiles with one or more geometric shapes (tiles) that fit together with no overlaps and no gaps or spaces between the tiles.

## Example of how to create a tessellation

- Cut part of the left side of the square and slide it directly to the right side of the square.
- Cut part of the bottom side of the square and slide it directly to the top side of the square.

*Make your own*

## Tesselation extensions

- What other shapes can you tessellate?
- What different shapes can you combine to make a tessellation?
- What are the properties of shapes that tesselate and do not tesselate?
- Someone said. What is changes in one place must be made up for elsewhere. What do they mean?
- Does this assume the starting shape must be able to be tesselated?
- How do the areas of the shapes before the change and after the change compare?
- They suggested to start with a shape, which can be tesselated, (square, equlateral triangle, equalateral hexagon, ...) cut away a part and move it along the perimeter to the remaining part of the shape. Repeat as desired and the new shape should be the same area and tesselate.

- Draw a pattern on a square gird. Use the grid to cut and reshape the pattern as suggested above.