interactive_slider.py

# by Matias I. Bofarull Oddo - 2022.05.03

from math import pi, cos, sin
from matplotlib.widgets import Slider
import matplotlib.pyplot as plt

plt.rcParams["font.sans-serif"] = "Consolas"
plt.rcParams["font.weight"] = "bold"
plt.rcParams["font.size"] = 10

phi = (1 + (5 ** (1 / 2))) / 2 - 1


def get_points(var1, var2, number_of_points=1000):
    X = []
    Y = []
    for i in range(number_of_points):
        angle = i * 2 * pi * var1
        distance = (i / (number_of_points)) ** var2
        X.append(distance * cos(angle))
        Y.append(distance * sin(angle))
    return X, Y


def update(val):
    turn_fraction = var1_slider.val
    distance_power = var2_slider.val
    coord_x, coord_y = get_points(turn_fraction, distance_power)
    Plot.set_xdata(coord_x)
    Plot.set_ydata(coord_y)
    fig.canvas.draw_idle()


initial_x, initial_y = get_points(phi, 1)

fig = plt.figure(figsize=(10, 10))
(Plot,) = plt.plot(initial_x, initial_y, "o", markersize=5)
edge = max([max(initial_x), max(initial_y)])
margin = 0.1

plt.axis("off")
plt.xlim(-edge - (margin * edge), edge + (margin * edge))
plt.ylim(-edge - (margin * edge), edge + (margin * edge))
plt.gca().set_position([0, 0.02, 1, 0.98])

slider = plt.axes([0.02, 0.03, 0.9, 0.01])
var1_slider = Slider(slider, "", 0.5, 1, valinit=phi, valstep=0.0001)

slider = plt.axes([0.02, 0.015, 0.9, 0.01])
var2_slider = Slider(slider, "", 0, 2, valinit=1, valstep=0.0001)

var1_slider.on_changed(update)
var2_slider.on_changed(update)

plt.show()

interactive_slider.mov