Saturday, 1 August 2009

Fibonacci Rose, Alternative Tiling

Fibonacci Rose, alternative colour tiling
Actually, this is the same arrangement of shapes as in the "double-spiral" version of the Fibonacci Rose, but coloured differently.
As before, each triangle of a given colour has sides that are the sum of the sides of the next two triangles down, giving the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 ...

And as before, if we zoom out arbitrarily far, the figure becomes indistinguishable from the "golden section" version, in which each triangle's sides are related to the next size up or down by the ratio phi, ~1.618034 ... .

1 comment:

ricie said...

Great job.Congratulation