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https://github.com/3b1b/manim.git
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Latest shadows animations
This commit is contained in:
Grant Sanderson
@ -5,8 +5,13 @@ from big_ol_pile_of_manim_imports import *
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def get_shadow(mobject, opacity=0.5):
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result = mobject.deepcopy()
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result.apply_function(lambda p: [p[0], p[1], 0])
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result.set_fill(BLACK, opacity=opacity)
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result.set_stroke(BLACK, 0)
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color = interpolate_color(
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mobject.get_fill_color(), BLACK,
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mobject.get_fill_opacity()
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)
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# color = BLACK
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result.set_fill(color, opacity=opacity)
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result.set_stroke(BLACK, 0.5, opacity=opacity)
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result.set_shade_in_3d(False)
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return result
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@ -57,11 +62,6 @@ class ShowShadows(ThreeDScene):
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def setup(self):
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self.add_plane()
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self.set_camera_orientation(
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phi=60 * DEGREES,
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theta=-90 * DEGREES,
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)
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# self.begin_ambient_camera_rotation(0.02)
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self.setup_orientation_trackers()
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self.setup_object_and_shadow()
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self.add_shadow_area_label()
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@ -73,8 +73,9 @@ class ShowShadows(ThreeDScene):
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height=24.2,
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stroke_width=0,
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fill_color=WHITE,
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fill_opacity=0.5,
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fill_opacity=0.35,
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)
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plane.set_sheen(0.2, DR)
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grid = NumberPlane(
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color=LIGHT_GREY,
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secondary_color=DARK_GREY,
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@ -103,12 +104,23 @@ class ShowShadows(ThreeDScene):
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label = VGroup(text, decimal)
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label.arrange_submobjects(RIGHT)
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label.scale(1.5)
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label.move_to(self.area_label_center)
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label.move_to(self.area_label_center - decimal.get_center())
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self.shadow_area_label = label
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self.shadow_area_decimal = decimal
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# def update_decimal(decimal):
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# # decimal.set_value(get_area(self.shadow))
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# self.add_fixed_in_frame_mobjects(decimal)
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# decimal.add_updater(update_decimal)
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continual_update = ContinualChangingDecimal(
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decimal, lambda a: get_area(self.shadow)
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decimal,
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lambda a: get_area(self.shadow),
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position_update_func=lambda d: self.add_fixed_in_frame_mobjects(d)
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)
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# self.add_fixed_orientation_mobjects(label)
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self.add_fixed_in_frame_mobjects(label)
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self.add(label)
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self.add(continual_update)
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@ -118,21 +130,40 @@ class ShowShadows(ThreeDScene):
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label = VGroup(text, decimal)
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label.arrange_submobjects(RIGHT)
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label.scale(1.25)
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label.next_to(self.obj3d, RIGHT, MED_LARGE_BUFF)
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label.set_fill(YELLOW)
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label.set_background_stroke(width=3)
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label.next_to(self.obj3d, RIGHT, LARGE_BUFF)
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label.shift(MED_LARGE_BUFF * IN)
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self.surface_area_label = label
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self.add_fixed_orientation_mobjects(label)
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def construct(self):
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# Show creation
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obj3d = self.obj3d.copy()
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obj3d.clear_updaters()
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temp_shadow = updating_mobject_from_func(lambda: get_shadow(obj3d))
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self.add(temp_shadow)
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self.play(LaggedStart(DrawBorderThenFill, obj3d))
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self.move_camera(
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phi=60 * DEGREES,
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theta=-120 * DEGREES,
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added_anims=[
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LaggedStart(DrawBorderThenFill, obj3d)
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],
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run_time=2
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)
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self.begin_ambient_camera_rotation(0.01)
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self.remove(obj3d, temp_shadow)
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average_label = self.get_average_label()
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# Reorient
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self.add(self.obj3d, self.shadow)
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for n in range(self.num_reorientations):
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self.randomly_reorient()
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self.wait()
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if n == 3:
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self.add_fixed_in_frame_mobjects(average_label)
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self.play(Write(average_label, run_time=2))
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else:
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self.wait()
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def randomly_reorient(self, run_time=3):
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a, b, c = TAU * np.random.random(3)
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@ -166,11 +197,32 @@ class ShowShadows(ThreeDScene):
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obj3d.rotate(angle, vect, about_point=center)
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return obj3d
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def get_average_label(self):
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rect = SurroundingRectangle(
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self.shadow_area_decimal,
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buff=SMALL_BUFF,
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color=RED,
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)
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words = TextMobject(
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"Average", "=",
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"$\\frac{\\text{Surface area}}{4}$"
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)
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words.scale(1.5)
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words[0].match_color(rect)
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words[2].set_color(self.surface_area_label[0].get_fill_color())
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words.set_background_stroke(width=3)
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words.next_to(
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rect, DOWN,
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index_of_submobject_to_align=0,
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)
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# words.shift(MED_LARGE_BUFF * LEFT)
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return VGroup(rect, words)
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class ShowInfinitelyFarLightSource(ShowShadows):
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CONFIG = {
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"num_reorientations": 1,
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"camera_center": [0, 0, 1]
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"camera_center": [0, 0, 1],
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}
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def construct(self):
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@ -193,6 +245,7 @@ class ShowInfinitelyFarLightSource(ShowShadows):
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def move_light_around(self):
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light = self.light
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self.add_foreground_mobjects(self.shadow_area_label)
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self.play(
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light.move_to, 5 * OUT + DOWN,
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run_time=3
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@ -209,9 +262,27 @@ class ShowInfinitelyFarLightSource(ShowShadows):
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def show_vertical_lines(self):
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lines = self.get_vertical_lines()
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obj3d = self.obj3d
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shadow = self.shadow
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target_obj3d = obj3d.copy()
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target_obj3d.become(shadow)
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target_obj3d.match_style(obj3d)
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target_obj3d.set_shade_in_3d(False)
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source_obj3d = obj3d.copy()
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source_obj3d.set_shade_in_3d(False)
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source_obj3d.fade(1)
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self.play(LaggedStart(ShowCreation, lines))
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lines.add_updater(lambda m: m.become(self.get_vertical_lines()))
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self.wait()
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self.add(source_obj3d, lines)
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self.play(
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ReplacementTransform(source_obj3d, target_obj3d),
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run_time=2
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)
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self.add(target_obj3d, lines)
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self.play(FadeOut(target_obj3d),)
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self.wait()
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lines.add_updater(lambda m: m.become(self.get_vertical_lines()))
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for x in range(5):
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self.randomly_reorient()
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@ -220,20 +291,21 @@ class ShowInfinitelyFarLightSource(ShowShadows):
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light_source = self.camera.light_source
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obj3d = self.obj3d
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center = obj3d.get_center()
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right = center + RIGHT
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up = center + UP
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def update(shadow):
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lsp = light_source.get_center()
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proj_center, proj_right, proj_up = [
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get_xy_plane_projection_point(lsp, point)
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for point in [center, right, up]
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]
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matrix = np.array([
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proj_right - proj_center,
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proj_up - proj_center
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]).T
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shadow.apply_matrix(matrix)
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proj_center = get_xy_plane_projection_point(lsp, center)
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c_to_lsp = lsp - center
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unit_c_to_lsp = normalize(c_to_lsp)
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rotation = rotation_matrix(
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angle=np.arccos(np.dot(unit_c_to_lsp, OUT)),
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axis=normalize(np.cross(unit_c_to_lsp, OUT))
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)
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new_shadow = get_shadow(
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self.obj3d.copy().apply_matrix(rotation)
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)
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shadow.become(new_shadow)
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shadow.scale(get_norm(lsp) / get_norm(c_to_lsp))
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shadow.move_to(proj_center)
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return shadow
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shadow.add_updater(update)
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@ -254,8 +326,8 @@ class ShowInfinitelyFarLightSource(ShowShadows):
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def get_vertical_lines(self):
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shadow = self.shadow
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points = get_boundary_points(shadow, 10)
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half_points = [(p1 + p2) / 2 for p1, p2 in adjacent_pairs(points)]
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points = np.append(points, half_points, axis=0)
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# half_points = [(p1 + p2) / 2 for p1, p2 in adjacent_pairs(points)]
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# points = np.append(points, half_points, axis=0)
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light_source = self.light.get_center()
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lines = VGroup(*[
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DashedLine(light_source, point)
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@ -271,7 +343,8 @@ class ShowInfinitelyFarLightSource(ShowShadows):
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class CylinderShadows(ShowShadows):
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CONFIG = {
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"surface_area": 2 * PI + 2 * PI * 2
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"surface_area": 2 * PI + 2 * PI * 2,
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"area_label_center": [0, -2, 0],
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}
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def get_object(self):
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@ -328,3 +401,11 @@ class PrismShadows(ShowShadows):
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prism.set_fill(PINK, 0.8)
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prism.set_stroke(WHITE, 1)
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return prism
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class TheseFourPiAreSquare(PiCreatureScene):
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def construct(self):
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pass
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def create_pi_creatures(self):
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pass
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