def gen_fib(start, length):
    fib = [0, start]
    for i in range(length):
        fib.append(fib[-2] + fib[-1])
    return fib

print(gen_fib(1, 20))

import turtle
turtle.speed (11)

def fib_generator (seed, start, length) :
	fib = [seed, start]
	for i in range (length) :
		fib.append (fib[-2] + fib[-1])
	return iter (fib)

for diameter in fib_generator (9, 13, 6) :
	for i in range (4) :
		turtle.circle (diameter)
		turtle.left (91)

turtle.done ()

(Mar-04-2021, 09:47 AM)Serafim Wrote: There is a list of integer sequences on wikipedia, of which a lot are named after the person that found them interesting or important. Some of these sequences are connected to unsolved mathematical problems and som have to do with graph problems. Maybe a source of inspiration.

The Lucas number sequence is closely related to the Fibonacci number sequence.

(Mar-04-2021, 03:09 AM)BashBedlam Wrote: I don't know if this would be considered inspiration or not but it's kind of fun to play with

Error:
  turtle.speed(11)
AttributeError: partially initialized module 'turtle' has no attribute 'speed' (most likely due to a circular import)

(Mar-04-2021, 04:03 PM)michael1789 Wrote: That's certainly a lot of mathematicians! :) I'll code some sort of drawing loop ala spirograph, plug some of best suited sequences as some of the variables and see what it looks like.

def gen_fib(start, length):
    fib = [0, start]
    for i in range(length):
        fib.append(fib[-2] + fib[-1])
    return fib
class Fractal():
    def __init__(self, game, pos):
        self.nodes = [vec(pos)]
    def update(self):
        dir = vec(random.randrange(-2, 2), random.randrange(-2, 2))
        for i in gen_fib(1, 5):
            self.nodes.append((self.nodes[-1] + (i * dir)))