Posts

Showing posts from September 30, 2006

Pythagorean Tiling

Image
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.