This is a lovely fan lace edging from a German pamphlet "Beyer Band 288: Kunststricken: Grosse und kleine Decken, Spitzen und Einsätze" published in 1934 by Otto Beyer Verlag. the designer is Elise Sachse. I think I will never be able to find the actual chart for it, so I reverse engineered it best as i could!
Shown with a cast-on count of 13 stitches.