is there any proof of the fibonacci sequence and the golden ratio on the physical characteristics of animals?

Question

for example: number of scales of armadillo, number of feathers on a birds wing, stripes of a tiger or a zebra,

Answer 1

Since plants and animals are generally squishy, flexible things, and there is large variety even within a single species, you'd be hard-pressed to find something with proportions that exactly matched the golden ratio.

I don't know of any animals that display Fibonacci numbers, but there are plenty of examples of plants. The arrangement of seeds on the head of a sunflower creates spirals, of which there are always two adjacent Fibonacci numbers, depending on the direction of the spiral (for example, 8 spirals in one direction, and 13 in the other direction). The spiral arrangement of stems on the head of cauliflower also obey this rule (try it, it's fun and tasty!).

Answer 2

Yes. There are genes called Hox genes which code for these simple repetitive patterns in many organisms. They have been manipulated in flies and some other animals to demonstrate their function. Great system, isn't it?