[Theodorus spiral] A geometric construction. #manim #geometry

20241218_theodorus.py

from manim import *
# https://discord.com/channels/581738731934056449/1318716633912573953/1318882699775311962
class TheodorusSpiralDebug(Scene):
    def construct(self):
        # Initialize variables
        origin_dot = Dot(point=ORIGIN)
        last_line = Line(start=ORIGIN, end=RIGHT/2)
        last_point = RIGHT/2

        # Add starting dot and first line segment
        self.add(origin_dot)
        self.play(last_line.animate())
        self.add(Dot(RIGHT/2))



        for _ in range(1, 17):  # Adjust range for more triangles

            # Create hypotenuse and oposite sides
            #oposite_side = Line.perpendicular_to(last_line, last_point, length=0.5)
            oposite_side = last_line.copy().scale(0.5/last_line.get_length(), about_point=last_point).rotate(90*DEGREES, about_point=last_point)
            Hypotenuse = Line(oposite_side.get_end(), ORIGIN)

            # Render hypotenuse and oposite sides
            self.play(oposite_side.animate())
            self.play(Hypotenuse.animate())

            # Update variables
            last_line = Hypotenuse
            last_point = oposite_side.get_end()

        # Add title
        title = Text("Theodorus Spiral").to_edge(UP)
        self.play(Write(title))

readme.md