from manim import *
from manim_geometry import *

config.media_embed = True
config.media_width = "100%"
_RV = "-v WARNING -qm --progress_bar None --disable_caching"
_RI = "-v WARNING -s --progress_bar None --disable_caching"

Manim Community v0.18.0

Pentagon

I used this video as a reference:

FRAME_HEIGHT = config.frame_height
FRAME_WIDTH = config.frame_width

class Pentagon(Scene):
  def fade_out(self, *mobs, **kwargs):
    self.play(
      *map(FadeOut, mobs),
      **kwargs
    )

  def construct(self):
    geos = Geos(self, dots_style={"radius": 0.08})
    frame_y_radius = FRAME_HEIGHT/2
    frame_x_radius = FRAME_WIDTH/2

    geos.create_geos({
        "lY": geos.line(DOWN*frame_y_radius, UP*frame_y_radius),
        "lX": geos.line(LEFT*frame_x_radius, RIGHT*frame_x_radius),
        "cO": geos.circle(ORIGIN, 3.5, line_kwargs={"color": RED}),
        "dR": geos.dot_from_method(lambda n: n("cO").get_right()),
        "dQ": geos.dot_from_method(lambda n: n("cO").get_left()),
        "dA": geos.dot_from_method(lambda n: n("cO").get_top()),
        "bR": geos.common_chord_partial("dR", "cO"),
        "dM": geos.intersection_lines("bR,lX"),
        "xMR": geos.distance("dM,dA"),
        "aM": geos.arc3p("dQ,dM,dA", radius="xMR", overshot_ang=0, other_angle=True),
        "dS": geos.nearest_icl("aM,lX,dQ"),
        "xSA": geos.distance("dS,dA"),
        "oAS": geos.angle2dots("dA,dS"),
        "aA": geos.arc("dA", "xSA", "oAS", -30*DEGREES),
        "dB": geos.intersection_circles("aA,cO", close_to="dQ"),
        "lEND": geos.segment("dA,dB"),
      },
      set_all_labels=True,
      label_buff=0.05,
    )

    self.add(geos.lX, geos.lY)

    ac = lambda c: {
      "all_styles": {"color": c},
      "color": c
    }

    geos.auto_animation("cO")
    geos.auto_animation("bR", **ac(BLUE))
    geos.show_dot_and_label("dM")
    self.fade_out(geos.bR)
    geos.auto_animation("aM", show_dot=False, reverse=True, **ac(BLUE))
    geos.show_dot_and_label("dS")
    geos.auto_animation("aA", show_dot=False)
    geos.show_dot_and_label("dB")
    geos.auto_animation("lEND", show_dots=False)
    self.fade_out(
      geos.dM, geos.dS, geos._M, geos._S,
      geos.dB, geos._B, geos.aA, geos.aM
    )

    rotate_line = geos.lEND
    main_circle = geos.cO
    pentagon = RegularPolygon(
      5,
      radius=geos.cO.radius,
      color=YELLOW,
      stroke_width=2
    )
    pentagon.shift(
      -pentagon.get_center_of_mass()
    )

    arcs = VGroup()

    for _ in range(5):
      tmp_circle  = ICircle(rotate_line.get_length()).move_to(rotate_line.get_end())
      arc = tmp_circle.common_chord_group_partial(main_circle, only_arc=True)
      arc.reverse_points()
      arc.set_stroke(width=3)

      arcs.add(arc)

      self.play(
        Rotate(rotate_line, -arc.angle, about_point=rotate_line.get_end()),
        Create(arc),
      )
      rotate_line.reverse_points()

    self.play(FadeOut(rotate_line))
    self.play(Create(pentagon))
    self.wait()

%manim $_RV Pentagon