### Pythagorean Tiling

The pattern can be made with the following PolygonR&D program go{

scale 0.4

right

scale 2.5

right

sides 4

ifon none {

paint purple

4 {

create go

right }

} { }

}

This tiling often appears on many floors. It is made with two different sizes of square tiles. The sizes of tiles doesn't matter--they will always form a pattern without gaps. A related fact about this pattern is that it demonstrates a proof of the Pythagorean theorem. The combined area of a purple and a yellow square is the same area as one of the squares constructed by the grid to the left.

scale 0.4

right

scale 2.5

right

sides 4

ifon none {

paint purple

4 {

create go

right }

} { }

}

This tiling often appears on many floors. It is made with two different sizes of square tiles. The sizes of tiles doesn't matter--they will always form a pattern without gaps. A related fact about this pattern is that it demonstrates a proof of the Pythagorean theorem. The combined area of a purple and a yellow square is the same area as one of the squares constructed by the grid to the left.