I'm tiling the kitchen and my wife suggested a sunflower mosaic as part of the splash-back. I did a search for sunflower images, which lead in turn to some awed consideration of the Fibonacci sequence of seed distribution in flower heads. I know little of math or geometry and being of mature years, I allowed myself to be lulled into thinking that I 'd effectively escaped the subjects. Next thing I know, I'm snared.
Please can anyone tell me what branch of geometry deals with 2D representations of seed distribution in a flower head, based on the Fibonacci sequence?
Are there documents that shows the way to construct a geometrical drawing of seed distribution of this type?
I saw an example of a distribution pattern made up of dots, with spiraling lines running dot-to-dot. This was an example produced by software on the Mac. I have a PC, so I drew a copy as best I could but I don't like what happens in the middle, in relation to a mosaic layout. The polygons produced by the intersecting spirals become very elongated and petal like near the centre which doesn't lend itself very well to producing a seed like visual effect with tiles. I'd be grateful for any advice you can give.