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Move i steps, turn i degrees, increase i, repeat: name of this fractal?

2

$begingroup$

Let's consider a simple algorithm:

import turtle
import tkinter as tk

scale = 0.01 # try 1
power = 1 # try 0.9, 2, 3, 4

root = tk.Tk()
canvas = tk.Canvas(master=root, width=2000, height=1500)
canvas.pack()

t = turtle.RawTurtle(canvas)
t.speed(speed=0)

for i in range(10000000):
 t.forward(scale*i)
 t.right(i**power)

Basically it moves i steps forward, rotates i degrees, increases i and repeats.
The algorithm produces the fractal plot :)

Does this fractal has a name? Has it been studied before?

sequences-and-series

share|cite|improve this question

asked Mar 26 at 17:15

RoahRoah

1,038917

$endgroup$

add a comment | 

2

$begingroup$

Let's consider a simple algorithm:

import turtle
import tkinter as tk

scale = 0.01 # try 1
power = 1 # try 0.9, 2, 3, 4

root = tk.Tk()
canvas = tk.Canvas(master=root, width=2000, height=1500)
canvas.pack()

t = turtle.RawTurtle(canvas)
t.speed(speed=0)

for i in range(10000000):
 t.forward(scale*i)
 t.right(i**power)

Basically it moves i steps forward, rotates i degrees, increases i and repeats.
The algorithm produces the fractal plot :)

Does this fractal has a name? Has it been studied before?

sequences-and-series

share|cite|improve this question

asked Mar 26 at 17:15

RoahRoah

1,038917

$endgroup$

add a comment | 

$begingroup$

Let's consider a simple algorithm:

import turtle
import tkinter as tk

scale = 0.01 # try 1
power = 1 # try 0.9, 2, 3, 4

root = tk.Tk()
canvas = tk.Canvas(master=root, width=2000, height=1500)
canvas.pack()

t = turtle.RawTurtle(canvas)
t.speed(speed=0)

for i in range(10000000):
 t.forward(scale*i)
 t.right(i**power)

Basically it moves i steps forward, rotates i degrees, increases i and repeats.
The algorithm produces the fractal plot :)

Does this fractal has a name? Has it been studied before?

sequences-and-series

share|cite|improve this question

asked Mar 26 at 17:15

RoahRoah

1,038917

$endgroup$

import turtle
import tkinter as tk

scale = 0.01 # try 1
power = 1 # try 0.9, 2, 3, 4

root = tk.Tk()
canvas = tk.Canvas(master=root, width=2000, height=1500)
canvas.pack()

t = turtle.RawTurtle(canvas)
t.speed(speed=0)

for i in range(10000000):
 t.forward(scale*i)
 t.right(i**power)

share|cite|improve this question

asked Mar 26 at 17:15

RoahRoah

1,038917

share|cite|improve this question

asked Mar 26 at 17:15

RoahRoah

1,038917

asked Mar 26 at 17:15

RoahRoah

1,038917

asked Mar 26 at 17:15

RoahRoah

1,038917