[Hilbert curve] How to draw a Hilbert curve in Manim #manim #vmobject #math #hilbert

20230319_hilbert.py

# original code @vasek.rozhon, modified by @uwezi
#https://discord.com/channels/581738731934056449/1086715297928581161/1086722509417762836


from manim import *
class Hilbert(Scene):
    def construct(self):
        from hilbertcurve.hilbertcurve import HilbertCurve

        side_length = 4
        bounding_square = (
            Square(color=GRAY).scale_to_fit_width(
                side_length).shift(0)
        )

        def create_curve(iter):
            distances = list(range(4**iter))
            points = HilbertCurve(iter, 2).points_from_distances(distances)
            points = [[p[0], p[1], 0] for p in points]
            
            '''
            curve = Polygon(*points, *reversed(points), color=RED).scale_to_fit_width(
               side_length * (1 - 2 ** (-iter))
            ).move_to(bounding_square.get_center())
            '''
            
            curve = VMobject()
            curve.set_points_as_corners(points)
            curve.set_color(RED).scale_to_fit_width(
               side_length * (1 - 2 ** (-iter))
            ).move_to(bounding_square.get_center())            
            
            return curve

        self.play(
            FadeIn(bounding_square),
        )
        self.wait()

        curve1 = create_curve(1)
        self.play(
            FadeIn(curve1)
        )
        self.wait()

        for i in range(2, 5):
            curve2 = create_curve(i)
            self.play(
                Transform(curve1, curve2)
            )        
            self.wait()