Quintets of Three Flowers by Tis Veugen

About "Quintets of Three Flowers"

by Tis Veugen

About the artwork

This non-periodic, Penrose P3 image with 5-fold rotation symmetry around the center sunflower is made of deformed rhombi. The rhombi contain a sunflower and 2 dahlias so that neighbor rhombi of the same flower are continuous. This type of image consists of 5 thin rhombi with angles of Pi/5 and 4*Pi/5, and 5 thick rhombi with angles of 2*Pi/5 and 3*Pi/5.
The sunflower is made of 5 pairs of thin rhombi. The opposite acute angles of these tiles meet in the center of the sunflower. The sunflower picture has no rotation or mirror symmetry; it is cut into 10 pieces, and 2 opposite pieces are rendered in a single deformed rhombus requiring some image editing. Each full dahlia is made of 5 thick rhombi with their acute angles in the center. By moving each rhombus to the other side of the center, you get a dahlia with the other color, either red or white. So, half of a thick rhombus contributes to a red dahlia, and the other half to the white dahlia. Around the center sunflower is a crown of 5 red dahlias and 5 white dahlias. A red dahlia shares 2 rhombi with its 2 neighbour white dahlias. Note also at the bottom the pattern of a white dahlia surrounded by 5 white dahlias; and to its left and its right a red dahlia surrounded by 5 red dahlias, etc. And, also note that the figure is not 100% rotationally symmetric because the rhombi have different, deformed edges.
The multigrid approach of N.G. de Bruijn, my former professor, has been applied to construct the whole image.