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Final hologram animations
This commit is contained in:
Grant Sanderson
parent
54db0e6bfd
commit
58c70e2fb0
2 changed files with 329 additions and 38 deletions
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@ -632,11 +632,7 @@ class LightExposingFilm(DiffractionGratingScene):
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self.wait(3)
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# Shift back
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self.remove(ref_wave_label)
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self.remove(exp_expr)
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self.remove(film_label)
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# shift_label = TexText(R"Shift back phase $\rightarrow$")
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shift_label = TexText(R"Tiny change $\rightarrow$")
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shift_label = TexText(R"Shift back phase $\rightarrow$")
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shift_label.rotate(PI / 2, DOWN)
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shift_label.set_backstroke(BLACK, 5)
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shift_label.move_to(5 * OUT + 1.25 * UP)
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@ -1089,6 +1085,8 @@ class ExplainWaveVisualization(DiffractionGratingScene):
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class CreateZonePlate(DiffractionGratingScene):
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samples = 4
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def construct(self):
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# Create object and reference wave
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frame = self.frame
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@ -1122,20 +1120,24 @@ class CreateZonePlate(DiffractionGratingScene):
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])
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# Add film
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plate_border = Rectangle(16, 9)
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plate_border.set_fill(BLACK, 0)
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plate_border.set_stroke(WHITE, 2)
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plate = Rectangle(16, 9)
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plate.set_height(4)
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plate.set_stroke(WHITE, 1, 0.5).set_fill(BLACK, 0.0)
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plate.set_shading(0.1, 0.1, 0)
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plate.apply_depth_test()
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plate_body = Square3D()
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plate_group = Group(plate_body, plate)
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plate_body.set_color(BLACK, 0.9)
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plate_body.replace(plate_border, stretch=True)
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plate_body.set_shading(0.1, 0.1, 0)
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plate_body.set_shape(plate.get_width(), plate.get_height())
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plate_body.move_to(plate.get_center() + 1e-2 * IN)
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exposure = LightIntensity(DotCloud(get_all_sources()))
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exposure.set_decay_factor(0)
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exposure.set_wave_number(wave_number)
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exposure.replace(plate_border, stretch=True).shift(1e-2 * OUT)
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exposure.replace(plate, stretch=True).shift(1e-2 * OUT)
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exposure.set_color(WHITE, 0.85)
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plate = Group(plate_border, plate_body)
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film = Group(plate, exposure)
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film.set_height(4)
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film.set_z(-2)
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@ -1151,7 +1153,7 @@ class CreateZonePlate(DiffractionGratingScene):
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source_label.shift(0.25 * UL)
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source_label.set_backstroke(BLACK, 2)
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source_arrow = Arrow(source_label["Object"].get_bottom(), source_point.get_center(), buff=0.1)
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source_arrow.set_perpendicular_to_camera(self.frame)
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source_arrow.always.set_perpendicular_to_camera(self.frame)
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obj_point = TrueDot()
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obj_point.move_to(source_point)
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@ -1160,8 +1162,9 @@ class CreateZonePlate(DiffractionGratingScene):
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obj_wave_label.next_to(source_point, IN, buff=0.1)
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obj_wave_label.set_backstroke(BLACK, 2)
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frame.reorient(16, -9, 0, (-0.74, 0.32, -0.49), 7.08)
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self.add(obj_wave, plate, film_label)
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frame.reorient(41, -9, 0, (-0.72, 0.27, -0.49), 6.75)
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self.add(plate_group, obj_wave, film_label)
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plate_body.move_to(plate.get_center() + 1e-2 * IN)
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self.play(
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FadeIn(source_point),
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FadeIn(source_label),
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@ -1184,7 +1187,7 @@ class CreateZonePlate(DiffractionGratingScene):
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ref_wave_label.set_backstroke(BLACK, 2)
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wave_fronts = Group(
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plate_body.copy().set_color([BLUE, RED][z % 2], 0.15).shift(0.5 * z * OUT)
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plate.copy().set_color([BLUE, RED][z % 2], 0.15).shift(0.5 * z * OUT)
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for z in range(4, 16)
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)
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for front in wave_fronts:
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@ -1322,11 +1325,11 @@ class CreateZonePlate(DiffractionGratingScene):
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)
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# Look off center
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exposure.replace(plate_body, stretch=True)
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exposure.set_shape(0.5 * plate_body.get_width(), 0.25)
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exposure.move_to(plate_body.get_center(), LEFT).shift(1e-2 * OUT)
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exposure.replace(plate, stretch=True)
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exposure.set_shape(0.5 * plate.get_width(), 0.25)
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exposure.move_to(plate.get_center(), LEFT).shift(1e-2 * OUT)
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full_exposure = exposure.copy()
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full_exposure.replace(plate_body, stretch=True)
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full_exposure.replace(plate, stretch=True)
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full_exposure.shift(2e-2 * OUT)
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exposure.save_state()
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exposure.stretch(0, 0, about_edge=LEFT)
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@ -1339,7 +1342,7 @@ class CreateZonePlate(DiffractionGratingScene):
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).shift(O_point - m[0].get_center())
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)
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trg_point = VectorizedPoint(plate_body.get_center())
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trg_point = VectorizedPoint(plate.get_center())
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obj_line.add_updater(lambda m: m.put_start_and_end_on(source_point.get_center(), trg_point.get_center()))
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ref_line.add_updater(lambda m: m.move_to(trg_point.get_center() + 0.02 * RIGHT, IN))
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@ -1360,7 +1363,7 @@ class CreateZonePlate(DiffractionGratingScene):
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# Look to halfwavelength point
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trg_x = 0.9
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mid_line = Line(source_point.get_center(), plate_body.get_center())
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mid_line = Line(source_point.get_center(), plate.get_center())
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mid_line.set_stroke(TEAL, 2)
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mid_line_label = Tex("D", font_size=30).rotate(PI / 2, LEFT)
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mid_line_label.next_to(mid_line, LEFT)
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@ -1373,7 +1376,7 @@ class CreateZonePlate(DiffractionGratingScene):
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FadeOut(ref_line),
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FadeOut(ref_graph),
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frame.animate.reorient(0, -62, 0, (-0.27, -1.26, -1.17), 7.38),
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trg_point.animate.move_to(plate_body.get_center() + trg_x * RIGHT),
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trg_point.animate.move_to(plate.get_center() + trg_x * RIGHT),
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run_time=3
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)
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d_line_label.next_to(obj_line.get_center(), RIGHT, buff=SMALL_BUFF)
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@ -1420,7 +1423,7 @@ class CreateZonePlate(DiffractionGratingScene):
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self.wait(2)
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# Grow rings fully
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exposure.replace(plate_body, stretch=True).shift(0.01 * OUT)
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exposure.replace(plate, stretch=True).shift(0.01 * OUT)
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self.add(exposure, round_exposure)
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self.play(
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@ -1539,10 +1542,10 @@ class CreateZonePlate(DiffractionGratingScene):
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)
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self.wait(4)
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# Go to othe side
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# Go to other side
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frame.reorient(-171, -18, 0, (0.12, -0.21, -1.33), 9.31)
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self.remove(film)
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self.add(exposure, plate_border)
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self.add(exposure, plate)
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self.play(
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frame.animate.reorient(0, -16, 0, (-3.06, -0.18, -3.19), 1.49),
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run_time=10,
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@ -1599,23 +1602,23 @@ class ShowEffectOfChangedReferenceAngle(InteractiveScene):
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plate_border = Rectangle(16, 9)
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plate_border.set_fill(BLACK, 0)
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plate_border.set_stroke(WHITE, 2)
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plate_body = Square3D()
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plate_body.set_color(BLACK, 0.9)
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plate_body.replace(plate_border, stretch=True)
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plate_body.set_shading(0.1, 0.1, 0)
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plate = Square3D()
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plate.set_color(BLACK, 0.9)
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plate.replace(plate_border, stretch=True)
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plate.set_shading(0.1, 0.1, 0)
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exposure = LightIntensity(source_points)
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exposure.set_decay_factor(0)
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exposure.set_wave_number(wave_number)
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exposure.replace(plate_border, stretch=True).shift(1e-2 * OUT)
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exposure.set_color(WHITE, 0.85)
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plate = Group(plate_border, plate_body)
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film = Group(plate, exposure)
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plate_group = Group(plate_border, plate)
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film = Group(plate_group, exposure)
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film.set_height(4)
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film.set_z(-2)
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film_label = Text("Film")
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film_label.next_to(plate, UP)
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film_label.next_to(plate_group, UP)
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film_label.set_backstroke(BLACK, 3)
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film_label.set_z_index(1)
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@ -3724,6 +3727,24 @@ class SuperpositionOfPoints(InteractiveScene):
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)
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self.wait(3)
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# Transform point into film
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frame.clear_updaters()
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frame.reorient(111, -13, 0, (-0.54, 0.04, -1.71), 5.72)
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pre_dots = dot_cloud.copy()
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pre_dots.set_points(dot_cloud.get_points()[:len(sheet_dots.get_points())])
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self.play(
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TransformFromCopy(pre_dots, sheet_dots, time_span=(2, 8)),
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frame.animate.reorient(17, -19, 0, (0.82, 0.57, -3.07), 7.99),
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run_time=12
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)
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self.play(
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dot_cloud.animate.shift(2 * IN),
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UpdateFromFunc(sheet_dots, lambda m: self.color_sheet_by_exposure(m, dot_cloud.get_points()[:1000], wave_number=32)),
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run_time=3,
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)
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self.wait()
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def color_sheet_by_exposure(self, sheet_dots, point_sources, wave_number=16, opacity=0.5):
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centers = sheet_dots.get_points()
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diffs = centers[:, np.newaxis, :] - point_sources[np.newaxis, :, :]
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@ -4026,7 +4047,7 @@ class ComplexWaves(InteractiveScene):
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lhs = Text("Film opacity = ")
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lhs.move_to(amp_expr, LEFT)
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lhs.set_color(GREY_B)
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new_amp_expr = Tex(R"|R + O|^2")
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new_amp_expr = Tex(R"c|R + O|^2")
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new_amp_expr.next_to(lhs, RIGHT)
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self.play(
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@ -4056,6 +4077,75 @@ class ComplexWaves(InteractiveScene):
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return result
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class StateOnA2DScreen(InteractiveScene):
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def construct(self):
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# Add screen
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frame = self.frame
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self.set_floor_plane("xz")
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screen = ScreenRectangle()
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screen.set_height(6)
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screen.set_stroke(WHITE, 1)
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source_points = DotCloud(np.random.random((10, 3)))
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source_points.set_width(8)
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source_points.move_to(screen, OUT)
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wave2d = LightWaveSlice(source_points)
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wave2d.replace(screen, stretch=True)
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wave2d.set_wave_number(4)
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wave2d.set_frequency(1)
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wave2d.set_max_amp(4)
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wave2d.set_decay_factor(0)
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axes = ThreeDAxes((-5, 5), (-5, 5), (-5, 5))
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self.add(axes)
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self.add(screen)
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self.add(wave2d)
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self.wait(4)
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# Zoom out to 3d waves
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wave3d = Group(
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# wave2d.copy().rotate(PI / 2, RIGHT).stretch(10, 2).move_to(ORIGIN, IN)
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)
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n_slices = 3
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for x in np.linspace(-5, 5, n_slices):
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wave_slice = wave2d.copy()
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wave_slice.scale(20)
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wave_slice.rotate(PI / 2, UP)
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wave_slice.move_to(ORIGIN, IN)
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wave_slice.set_x(x)
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wave_slice.set_opacity(1.0 / n_slices)
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wave3d.add(wave_slice)
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for wave in wave3d:
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wave.set_opacity(1)
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wave.set_max_amp(10)
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# wave3d[n_slices // 2].set_opacity(0.75)
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# wave3d.set_opacity(0.1)
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# wave3d.save_state()
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# wave3d.stretch(0, dim=2, about_point=ORIGIN)
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self.play(
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frame.animate.reorient(101, -1, 0, (-0.53, 0.13, 7.82), 13.40),
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FadeIn(wave3d, time_span=(3, 8)),
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run_time=8,
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)
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# Linger and collapse
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self.wait(4)
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self.play(
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LaggedStart(*(
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wave.animate.match_points(wave2d).set_opacity(1).shift(1e-2 * IN)
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for wave in wave3d
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), lag_ratio=0),
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frame.animate.reorient(25, -6, 0, (0.18, 0.29, 0.15), 9.15).set_anim_args(time_span=(1, 4)),
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run_time=4
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)
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self.wait(8)
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## Old ##
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class PointSourceDiffractionPattern(InteractiveScene):
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@ -348,11 +348,9 @@ class Outline(InteractiveScene):
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class GoalOfRediscovery(TeacherStudentsScene):
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def construct(self):
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# Test
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for pi in self.pi_creatures:
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pi.body.insert_n_curves(100)
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morty = self.teacher
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self.play(
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self.change_students("pondering", "confused", "erm", look_at=self.screen),
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self.change_students("pondering", "confused", "maybe", look_at=self.screen),
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morty.change("guilty"),
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)
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self.wait(2)
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@ -1314,6 +1312,110 @@ class ModeledAs2D(InteractiveScene):
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self.wait()
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class ThinkingAboutRediscovery(InteractiveScene):
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def construct(self):
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# Test
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randy = Randolph()
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randy.body.insert_n_curves(100)
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randy.to_corner(DL)
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bubble = ThoughtBubble(filler_shape=(5, 2))
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bubble.pin_to(randy)
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bubble = bubble[0]
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bubble.set_fill(opacity=0)
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rect = FullScreenRectangle().set_fill(BLACK, 1)
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rect.append_points([rect.get_points()[-1], *bubble[-1].get_points()])
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self.add(rect, randy)
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self.play(
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randy.change('pondering'),
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Write(bubble, stroke_color=WHITE, lag_ratio=0.2)
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)
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self.play(Blink(randy))
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self.wait(2)
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self.play(randy.change('thinking', bubble.get_top()))
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self.play(Blink(randy))
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self.play(randy.change('tease', bubble.get_top()))
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for _ in range(2):
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self.play(Blink(randy))
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self.wait(2)
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class IntroduceFormalSection(TeacherStudentsScene):
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def construct(self):
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# Test
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morty = self.teacher
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stds = self.students
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self.play(LaggedStart(
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stds[0].change("sassy", morty.eyes),
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stds[1].says("Okay but really, why\ndoes it work?", look_at=morty.eyes),
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stds[2].change("angry", look_at=morty.eyes),
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morty.change("guilty"),
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))
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self.wait(2)
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self.play(LaggedStart(
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morty.change("tease"),
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stds[0].change("well"),
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stds[1].debubble(),
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stds[2].change("hesitant"),
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lag_ratio=0.5
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))
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self.wait(2)
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# Show complex plane
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plane = ComplexPlane((-3, 3), (-3, 3))
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plane.faded_lines.set_stroke(BLUE_E, 1, 0.5)
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plane.axes.set_stroke(width=1)
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plane.background_lines.set_stroke(width=1)
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plane.set_width(3)
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plane.next_to(self.hold_up_spot, UP)
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a, b = (2, 1.5)
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z = complex(a, b)
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z_dot = GlowDot(plane.n2p(0), color=WHITE)
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z_dot.set_z_index(1)
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h_line = Line(plane.n2p(0), plane.n2p(a))
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v_line = Line(plane.n2p(a), plane.n2p(z))
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h_line.set_stroke(YELLOW, 3)
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v_line.set_stroke(RED, 3)
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a_label = Tex(R"a", font_size=24)
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a_label.match_color(h_line)
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a_label.next_to(h_line, DOWN, buff=0.1)
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b_label = Tex(R"bi", font_size=24)
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b_label.match_color(v_line)
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b_label.next_to(v_line, RIGHT, buff=0.1)
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z_label = Tex(R"a + bi", font_size=24)
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z_label.next_to(v_line.get_end(), UR, SMALL_BUFF)
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VGroup(a_label, b_label, z_label).set_backstroke(BLACK, 3)
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self.play(
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morty.change("raise_right_hand", plane),
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self.change_students(*3 * ["pondering"], look_at=plane),
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FadeIn(plane, UP),
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)
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self.play(
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ShowCreation(h_line),
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FadeIn(a_label, 0.5 * RIGHT),
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z_dot.animate.move_to(plane.n2p(a)),
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)
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self.play(
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ShowCreation(v_line),
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FadeIn(b_label, 0.5 * UP),
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z_dot.animate.move_to(plane.n2p(z)),
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)
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self.play(
|
||||
TransformMatchingShapes(VGroup(a_label, b_label).copy(), z_label)
|
||||
)
|
||||
self.play(self.change_students("erm", "thinking", "well", look_at=plane))
|
||||
self.wait(2)
|
||||
|
||||
|
||||
class HoldUpEquation(InteractiveScene):
|
||||
def construct(self):
|
||||
pass
|
||||
|
||||
|
||||
class GaborQuote(InteractiveScene):
|
||||
def construct(self):
|
||||
# Test
|
||||
|
|
@ -1331,6 +1433,19 @@ class GaborQuote(InteractiveScene):
|
|||
self.wait()
|
||||
|
||||
|
||||
class GaborQuote2(InteractiveScene):
|
||||
def construct(self):
|
||||
# Test
|
||||
quote = TexText(R"""
|
||||
``In holography, nature\\
|
||||
is on the inventor's side''
|
||||
""", font_size=60, alignment="")
|
||||
quote.to_edge(RIGHT)
|
||||
|
||||
self.play(Write(quote), run_time=2, lag_ratio=0.1)
|
||||
self.wait()
|
||||
|
||||
|
||||
class ComplexConjugateFact(InteractiveScene):
|
||||
def construct(self):
|
||||
# Show conjugate
|
||||
|
|
@ -1397,6 +1512,49 @@ class ComplexConjugateFact(InteractiveScene):
|
|||
self.wait()
|
||||
|
||||
|
||||
class PrepareComplexAlgebra(InteractiveScene):
|
||||
def construct(self):
|
||||
# Test
|
||||
lines = VGroup(
|
||||
Tex(R"R \cdot (1 - \text{Opacity})"),
|
||||
Tex(R"R \cdot (1 - c|R + O|^2)"),
|
||||
Tex(R"R - c R \cdot |R + O|^2"),
|
||||
)
|
||||
lines.arrange(DOWN, buff=0.75)
|
||||
lines.to_edge(UP)
|
||||
|
||||
label = Text("Wave beyond\nthe film")
|
||||
arrow = Vector(LEFT)
|
||||
arrow.next_to(lines[0], RIGHT)
|
||||
label.next_to(arrow, RIGHT)
|
||||
|
||||
rect = SurroundingRectangle(lines[2][R"R \cdot |R + O|^2"], buff=0.05)
|
||||
rect.set_stroke(TEAL, 2)
|
||||
|
||||
self.play(
|
||||
FadeIn(label, lag_ratio=0.1),
|
||||
GrowArrow(arrow),
|
||||
FadeIn(lines[0], LEFT),
|
||||
)
|
||||
self.wait()
|
||||
self.play(
|
||||
TransformMatchingStrings(lines[0].copy(), lines[1]),
|
||||
run_time=2
|
||||
)
|
||||
self.wait()
|
||||
self.play(
|
||||
TransformMatchingStrings(lines[1].copy(), lines[2]),
|
||||
run_time=2
|
||||
)
|
||||
self.wait()
|
||||
self.play(
|
||||
ShowCreation(rect),
|
||||
lines[:2].animate.set_opacity(0.5),
|
||||
lines[2][R"R - c"].animate.set_opacity(0.5),
|
||||
)
|
||||
self.wait()
|
||||
|
||||
|
||||
class ComplexAlgebra(InteractiveScene):
|
||||
def construct(self):
|
||||
# Add first lines
|
||||
|
|
@ -1410,7 +1568,7 @@ class ComplexAlgebra(InteractiveScene):
|
|||
lines.arrange(DOWN, buff=LARGE_BUFF)
|
||||
lines.to_edge(UP)
|
||||
|
||||
label = Text("Wave beyond\nthe film")
|
||||
label = Text("Part of the wave\nbeyond the film", font_size=36)
|
||||
arrow = Vector(LEFT)
|
||||
arrow.next_to(lines[0], RIGHT)
|
||||
label.next_to(arrow, RIGHT)
|
||||
|
|
@ -1618,6 +1776,49 @@ class ComplexAlgebra(InteractiveScene):
|
|||
).set_stroke(WHITE, 2)
|
||||
|
||||
|
||||
class PlaneAfterFilm(InteractiveScene):
|
||||
def construct(self):
|
||||
# Test
|
||||
image = ImageMobject("FilmFromBehind")
|
||||
image.set_height(FRAME_HEIGHT)
|
||||
image.set_height(FRAME_HEIGHT)
|
||||
image.fix_in_frame()
|
||||
# self.add(image)
|
||||
|
||||
rect = Polygon(
|
||||
(2.56, -0.12, 0.0),
|
||||
(5.69, -2.51, 0.0),
|
||||
(6.25, 1.31, 0.0),
|
||||
(2.72, 2.62, 0.0),
|
||||
)
|
||||
rect.set_fill(BLACK, 0.75)
|
||||
rect.set_stroke(BLUE, 10)
|
||||
rect.fix_in_frame()
|
||||
words = Text("True on this\n2D Plane")
|
||||
|
||||
self.set_floor_plane("xz")
|
||||
self.frame.reorient(73, -24, 0, (-1.53, -0.68, 4.14), 9.19)
|
||||
|
||||
self.play(
|
||||
DrawBorderThenFill(rect),
|
||||
FadeIn(words),
|
||||
)
|
||||
self.wait()
|
||||
|
||||
|
||||
class LookingAtScreen(TeacherStudentsScene):
|
||||
def construct(self):
|
||||
self.play(
|
||||
self.change_students("confused", "pondering", "maybe", look_at=self.screen),
|
||||
self.teacher.change("well")
|
||||
)
|
||||
self.wait(5)
|
||||
|
||||
|
||||
class EndScreen(PatreonEndScreen):
|
||||
pass
|
||||
|
||||
|
||||
# Old stubs
|
||||
|
||||
class DoubleSlitSupplementaryGraphs(InteractiveScene):
|
||||
|
|
|
|||
Loading…
Add table
Reference in a new issue