Recoloring over time reveals the vast number of possible golden angle spiral patterns, clockwise and counterclockwise. If you count the spirals, the numbers clockwise and counterclockwise are successive Fibonacci numbers, as in flowers.
Coloring changes, but the dot placements remain the same. Each dot is placed at an angle of 137.5 relative to the previous dot. Dots start from the center and turn the golden angle (137.50776405.... degrees), which is the golden ratio translated into degrees. The golden angle turn of about 137.5 degrees is the best way to fill the space, and causes the number of clockwise and counterclockwise spirals to be Fibonacci numbers (such as 5, 8, 13, 21, 34, 55, 89, 144....). Altering number of colors highlights different spiral patterns. Sunflowers, daisies and other plants with numerous little florets on the flowerhead have golden angle spiral patterns. The pen dots represent the florets. But here the pen size is very small, much smaller than the seeds relative to the total circular head, accomodating more spirals. What's different about this compared to my previous is rapidly redrawing the spirals with different colors to highlight the vast number of possible spirals. The actual placement of the dots is the same in all drawings. See: https://lifepatternsemerging.com/spirals Here is the result of my experimenting with pen sizes and spacing to best show off the great diversity of spirals.
