**Introduction**

"Rep-tile" has a different meaning in Mathematics It is short for **Replicating Tile. **When several copies of these tiles are put together, the shape will appear exactly the same but magnified! Every square, rectangle, parallelogram, rhombus, or triangle are examples of rep-tiles. Let's explore some other ones.

**Sphinx Tiles**

Sphinx Tiles are one of the most popular rep-tiles and are made from 6 equilateral triangles.

To create the same Sphinx shape, we need to use the original shape and its mirror-image.

Use the flip button of the Polypad to create the mirror image. This is also called reflection. Use this Polypad to create the Sphinx tiling. As you do,

- Determine the total number of triangles and the number of sphinx tiles needed to create each figure.

Sphinx tiles can be used to create fractals.

- Create your own design.
- Determine the scale factor to create the next sphinx tile. Then iterate the fractal one more step. Figure out the transformations that create this fractal.

## Extensions

Use this Polypad to create more reptiles using these shapes;

## Polypads for This Lesson

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