Theodorus Spiral First Draft

#!/usr/bin/python3
# -*- coding: utf-8 -*-

import turtle
import tkinter as tk
from math import *

def forward(): # Pixels
    t.forward(100)

def back(): # Pixels
    t.back(100)

def left(): # Deg
    t.left(90)

def right(): # Deg
    t.right(90)

def theodorusSpiral():

    unit = 100 # Pixels
    radius = 100 * sqrt(2)
    lastradius = 1
    angle = 45
    lastangle = 0

    triangle(radius, angle)
    for i in range(1, 17):

        print("R:", radius, "A:", angle, "LR:", lastradius, "LA:", lastangle)

        # Angle Growth Rate = arctan(1/sqrt(n))
        # Radius Growth Rate = sqrt(n + 1) - sqrt(n)

        if i == 1: # Skipping first number because of bug TODO

            pass

        else:

            t.setheading(lastangle)
            t.forward(lastradius)
            t.left(90)# Deg
            t.forward(unit)
            t.goto(0, 0)

        lastangle = angle
        angle += atan(1 / sqrt(i + 1)) * (180 / pi)
        lastradius = radius
        radius += 100 * (sqrt(i + 2) - sqrt(i + 1))

    pass

def triangle(radius, angle, unit=100):

    t.forward(100)
    t.left(90)
    t.forward(unit)
    t.left(180 + angle)
    t.goto(0, 0)
    t.setheading(0)

    # t.left(angle)
    # t.forward(radius)
    # t.right(180 - angle)
    # t.forward(unit)
    # t.right(90)
    # t.goto(0, 0)
    # t.setheading(0)


    pass

root = tk.Tk()
canvas = tk.Canvas(master = root, width = 900, height = 700)
canvas.pack()

t = turtle.RawTurtle(canvas)
t.pencolor("#ff0000") # Red

t.penup()   # Regarding one of the comments
t.pendown() # Regarding one of the comments

tk.Button(master = root, text = "Forward", command = forward).pack(side = tk.LEFT)
tk.Button(master = root, text = "Back", command = back).pack(side = tk.LEFT)
tk.Button(master = root, text = "Left", command = left).pack(side = tk.LEFT)
tk.Button(master = root, text = "Right", command = right).pack(side = tk.LEFT)
tk.Button(master = root, text = 'Spiral', command = theodorusSpiral).pack(side = tk.LEFT)

root.mainloop()