Mathematics is our passion. We think outside the box and ship the results inside. We are glad you like our research!

The motive is the curve R13-15, called swan curve. Since it is one of our favorite curves, we sell it in a limited edition of only 99 pairs. You can choose whether you like earrings or earings in a set with the matching pendant.

R13-15 is the 15th curve of order 13 that was found. It lives on the triangular grid and it is represented by the Lindenmayer-system 

F|--> F+FFF-F-F+FF+F+F-FF-F. The order 13 is the number of letters F on the right side.

The curve is drawn using turtle graphics. F is interpreted as „draw a line in the current direction”,  + and – are interpreted respectively as
turns by +120°. If you cut off one third of every line, the curve suddenly does not live on the triangular grid anymore, it outlines hexagons. The engraving of the left earring shows the curve R13-15 on the hexagonal grid. The right earring is the vertical mirror image. The engraving on the pendant is created by putting three curves together to form a tile.

R13-15 Swan Curve Set
R13-15 Swan Curve Set
R13-15 Swan Curve Earrings
R13-15 Swan Curve Earrings