Study algebra and develop spatial skills with

*Sphinx*tiles.
Study algebra and develop spatial skills with *Sphinx* tiles.

Sphinx Tiles

Make larger and larger sphinxes

Combine the tiles to make larger replicas of the Sphinx shape. When two tiles are brought sufficiently
close, they will join and become a unit. Repeat this process to build up your replica.
Additionally, you can make a copy of any selected combination by using the *Duplicate* button.
Joining and duplicating can both be reversed by using the *Undo* button.

Both individual sphinxes and the groups may be rotated and flipped by selecting and dragging the appropriate handles. (The 4 edge handles are for flipping, and the top handle is for rotation.)

- First try and make a double size sphinx, then a triple, a quadruple etc.
- Count the number of sphinxes needed in each case and look for a pattern.
- Show the internal triangles and use them as the unit of area. Find the area of each size sphinx and look for a pattern.
- Similarly, using sides of the internal triangles as unit lengths, examine how the perimeter changes as sphinx size increases.
- Convert the results into algebraic form and find the number of tiles, the area and the perimeter of a size 100 sphinx.
- How might you determine how difficult it would be to construct a sphinx of any given size?