🔒 improving this to include tetrations and exporting as a png and a txt file

[hazy halo]

@brittle pulsar

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[brittle pulsar]

import turtle
import time
import math

def collatz_sequence(n, steps=0, values=None):
    if values is None:
        values = []

    values.append(n)

    if n == 1:
        values.extend([4, 2, 1])
        steps += 3
        return values, steps
    else:
        if n % 2 == 0:
            return collatz_sequence(n // 2, steps + 1, values)
        else:
            return collatz_sequence(3 * n + 1, steps + 1, values)

start_number = 999
print(f"Starting Collatz sequence at: {start_number}")

sequence, total_steps = collatz_sequence(start_number)
print(f"Reached 1 in {total_steps} steps.")

# Turtle setup
screen = turtle.Screen()
screen.title("Collatz Sequence Plot")
screen.bgcolor("black")

plot = turtle.Turtle()
plot.speed(0)
plot.color("cyan")
plot.penup()

screen_width = 800
screen_height = 600
x_pad = 50
y_pad = 30
screen.setup(width=screen_width, height=screen_height)

log_values = [math.log(v + 1) for v in sequence]
max_log_val = max(log_values)

x_scale = (screen_width - x_pad * 2) / len(sequence)
y_scale = (screen_height - y_pad * 2) / max_log_val

plot.goto(-screen_width // 2 + x_pad, -screen_height // 2 + log_values[0] * y_scale)
plot.pendown()

for i, log_val in enumerate(log_values):
    x = -screen_width // 2 + x_pad + i * x_scale
    y = -screen_height // 2 + y_pad + log_val * y_scale
    plot.goto(x, y)

# Save to EPS file
ts = plot.getscreen()
ts.getcanvas().postscript(file="collatz_plot.eps")
print("Plot saved as collatz_plot.eps")

plot.hideturtle()
screen.exitonclick()

improving this to include tetrations and exporting as a png and a txt file

[hazy halo]

@brittle pulsar

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