I was appreciating the geometrydaily:
And got to noticing the always neat equliateral triangle proportions in the circle where the side length is the radius. So I have to fire up GeoGebra and start playing.#332 Totem – A new minimal geometric composition each day
Now I'm quite curious about those special lengths of the petals. Here's the sketch if you'd like to play with it: teacher's page (download) and student's page (applet).
Other GeoGebra inspired by Geometry Daily: