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https://github.com/3b1b/manim.git
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Finalized PondScene (save overlays), working on final scenes
This commit is contained in:
Ben Hambrecht
parent
25744bdb54
commit
fd91761f89
1 changed files with 163 additions and 63 deletions
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@ -2132,6 +2132,27 @@ class IPTScene2(Scene):
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self.play(ShowCreation(box),Write(text))
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BASELINE_YPOS = -2.5
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OBSERVER_POINT = [0,BASELINE_YPOS,0]
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LAKE0_RADIUS = 1.5
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INDICATOR_RADIUS = 0.6
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TICK_SIZE = 0.5
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LIGHTHOUSE_HEIGHT = 0.2
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LAKE_COLOR = BLUE
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LAKE_OPACITY = 0.15
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LAKE_STROKE_WIDTH = 5.0
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LAKE_STROKE_COLOR = BLUE
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TEX_SCALE = 0.8
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DOT_COLOR = BLUE
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LIGHT_MAX_INT = 1
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LIGHT_SCALE = 5
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LIGHT_CUTOFF = 1
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class PondScene(ThreeDScene):
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@ -2139,27 +2160,14 @@ class PondScene(ThreeDScene):
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def construct(self):
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BASELINE_YPOS = -2.5
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OBSERVER_POINT = [0,BASELINE_YPOS,0]
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LAKE0_RADIUS = 1.5
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INDICATOR_RADIUS = 0.6
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TICK_SIZE = 0.5
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LIGHTHOUSE_HEIGHT = 0.2
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LAKE_COLOR = BLUE
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LAKE_OPACITY = 0.15
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LAKE_STROKE_WIDTH = 5.0
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LAKE_STROKE_COLOR = BLUE
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TEX_SCALE = 0.8
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DOT_COLOR = BLUE
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LIGHT_MAX_INT = 1
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LIGHT_SCALE = 5
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LIGHT_CUTOFF = 1
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self.cumulated_zoom_factor = 1
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self.force_skipping()
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def zoom_out_scene(factor):
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phi0 = self.camera.get_phi() # default is 0 degs
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theta0 = self.camera.get_theta() # default is -90 degs
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distance0 = self.camera.get_distance()
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@ -2169,6 +2177,7 @@ class PondScene(ThreeDScene):
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self.play(
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ApplyMethod(self.camera.rotation_mobject.move_to, camera_target_point),
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self.zoomable_mobs.shift, self.obs_dot.get_center(),
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self.unzoomable_mobs.scale,2,{"about_point" : ORIGIN},
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)
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@ -2188,12 +2197,12 @@ class PondScene(ThreeDScene):
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baseline = VMobject()
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baseline.set_points_as_corners([[-8,BASELINE_YPOS,0],[8,BASELINE_YPOS,0]])
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baseline.set_fill(opacity = 0) # in case it gets accidentally added to the scene
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baseline.set_stroke(width = 0) # in case it gets accidentally added to the scene
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self.zoomable_mobs.add(baseline) # prob not necessary
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obs_dot = Dot(OBSERVER_POINT, fill_color = DOT_COLOR)
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self.obs_dot = Dot(OBSERVER_POINT, fill_color = DOT_COLOR)
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ls0_dot = Dot(OBSERVER_POINT + 2 * LAKE0_RADIUS * UP, fill_color = WHITE)
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self.zoomable_mobs.add(obs_dot, ls0_dot)
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self.unzoomable_mobs.add(self.obs_dot, ls0_dot)
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# lake
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lake0 = Circle(radius = LAKE0_RADIUS,
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@ -2221,7 +2230,7 @@ class PondScene(ThreeDScene):
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ls0.move_source_to(OBSERVER_POINT + LAKE0_RADIUS * 2 * UP)
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self.zoomable_mobs.add(ls0, ls0.lighthouse, ls0.ambient_light)
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self.add(lake0,morty,obs_dot,ls0_dot, ls0.lighthouse)
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self.add(lake0,morty,self.obs_dot,ls0_dot, ls0.lighthouse)
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self.wait()
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@ -2281,7 +2290,7 @@ class PondScene(ThreeDScene):
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self.play(
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ShowCreation(diameter),
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Write(diameter_text),
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#FadeOut(obs_dot),
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#FadeOut(self.obs_dot),
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FadeOut(ls0_dot)
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)
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@ -2340,7 +2349,7 @@ class PondScene(ThreeDScene):
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position = self.lake_center + self.lake_radius * radial_vector
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if scaled_down:
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return position.scale_about_point(OBSERVER_POINT,0.5)
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return position.scale_about_point(self.obs_dot.get_center(),0.5)
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else:
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return position
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@ -2361,8 +2370,8 @@ class PondScene(ThreeDScene):
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ShowCreation(hyp, run_time = run_time)
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)
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leg1 = Line(OBSERVER_POINT,ls_new_loc1)
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leg2 = Line(OBSERVER_POINT,ls_new_loc2)
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leg1 = Line(self.obs_dot.get_center(),ls_new_loc1)
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leg2 = Line(self.obs_dot.get_center(),ls_new_loc2)
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self.new_legs_1.append(leg1)
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self.new_legs_2.append(leg2)
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@ -2381,9 +2390,9 @@ class PondScene(ThreeDScene):
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# check if the light sources are on screen
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ls_old_loc = np.array(ls1.get_source_point())
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onscreen_old = np.all(np.abs(ls_old_loc) < 10)
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onscreen_1 = np.all(np.abs(ls_new_loc1) < 10)
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onscreen_2 = np.all(np.abs(ls_new_loc2) < 10)
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onscreen_old = np.any(np.abs(ls_old_loc) < 10)
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onscreen_1 = np.any(np.abs(ls_new_loc1) < 10)
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onscreen_2 = np.any(np.abs(ls_new_loc2) < 10)
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show_animation = (onscreen_old or onscreen_1 or onscreen_2)
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if show_animation:
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@ -2418,18 +2427,22 @@ class PondScene(ThreeDScene):
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# first, fade out all of the hypotenuses and altitudes
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if show_steps == True:
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self.zoomable_mobs.remove(self.hypotenuses, self.altitudes, self.inner_lake)
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self.play(
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FadeOut(self.hypotenuses),
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FadeOut(self.altitudes),
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FadeOut(self.inner_lake)
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)
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else:
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self.zoomable_mobs.remove(self.inner_lake)
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self.play(
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FadeOut(self.inner_lake)
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)
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# create a new, outer lake
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self.lake_center = self.obs_dot.get_center() + self.lake_radius * UP
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new_outer_lake = Circle(radius = self.lake_radius,
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stroke_width = LAKE_STROKE_WIDTH,
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@ -2454,6 +2467,7 @@ class PondScene(ThreeDScene):
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self.inner_lake = self.outer_lake
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self.outer_lake = new_outer_lake
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self.altitudes = self.legs
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#self.lake_center = self.outer_lake.get_center()
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self.additional_light_sources = []
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self.new_legs_1 = []
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@ -2475,16 +2489,23 @@ class PondScene(ThreeDScene):
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self.legs = VMobject()
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for leg in self.new_legs_1:
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self.legs.add(leg)
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self.zoomable_mobs.add(leg)
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for leg in self.new_legs_2:
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self.legs.add(leg)
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self.zoomable_mobs.add(leg)
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for hyp in self.hypotenuses.submobjects:
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self.zoomable_mobs.remove(hyp)
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self.hypotenuses = VMobject()
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for hyp in self.new_hypotenuses:
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self.hypotenuses.add(hyp)
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self.zoomable_mobs.add(hyp)
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for ls in self.additional_light_sources:
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self.light_sources.add(ls)
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self.light_sources_array.append(ls)
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self.zoomable_mobs.add(ls)
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# update scene
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self.add(
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@ -2492,6 +2513,7 @@ class PondScene(ThreeDScene):
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self.inner_lake,
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self.outer_lake,
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)
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self.zoomable_mobs.add(self.light_sources, self.inner_lake, self.outer_lake)
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if show_steps == True:
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self.add(
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@ -2499,6 +2521,7 @@ class PondScene(ThreeDScene):
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self.hypotenuses,
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self.altitudes,
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)
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self.zoomable_mobs.add(self.legs, self.hypotenuses, self.altitudes)
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self.wait()
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@ -2506,7 +2529,7 @@ class PondScene(ThreeDScene):
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if show_steps == True:
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self.play(FadeOut(ls0_dot))
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self.lake_center = ls0_loc = self.outer_lake.get_center() + self.lake_radius * UP
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#self.lake_center = ls0_loc = self.obs_dot.get_center() + self.lake_radius * UP
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self.lake_radius *= 2
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@ -2547,12 +2570,21 @@ class PondScene(ThreeDScene):
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self.new_hypotenuses = []
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for i in range(3):
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construction_step(i)
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construction_step(0)
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indicator_wiggle()
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self.play(FadeOut(ls0_dot))
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zoom_out_scene(2)
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construction_step(1)
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indicator_wiggle()
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self.play(FadeOut(ls0_dot))
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zoom_out_scene(2)
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construction_step(2)
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indicator_wiggle()
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self.play(FadeOut(ls0_dot))
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self.play(
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@ -2561,15 +2593,20 @@ class PondScene(ThreeDScene):
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FadeOut(self.legs)
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)
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for i in range(3,5):
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construction_step(i, show_steps = False, run_time = 1.0/2**i)
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max_it = 6
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scale = 2**(max_it - 4)
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TEX_SCALE *= scale
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for i in range(3,max_it + 1):
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construction_step(i, show_steps = False, run_time = 4.0/2**i)
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return
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self.revert_to_original_skipping_status()
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# Now create a straight number line and transform into it
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MAX_N = 17
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origin_point = self.obs_dot.get_center()
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self.number_line = NumberLine(
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x_min = -MAX_N,
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x_max = MAX_N + 1,
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@ -2579,11 +2616,11 @@ class PondScene(ThreeDScene):
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stroke_color = LAKE_STROKE_COLOR,
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#numbers_with_elongated_ticks = range(-MAX_N,MAX_N + 1),
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numbers_to_show = range(-MAX_N,MAX_N + 1,2),
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unit_size = LAKE0_RADIUS * TAU/4 / 4,
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unit_size = LAKE0_RADIUS * TAU/4 / 2 * scale,
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tick_frequency = 1,
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line_to_number_buff = LARGE_BUFF,
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label_direction = UP,
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).shift(2.5 * DOWN)
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).shift(scale * 2.5 * DOWN)
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self.number_line.label_direction = DOWN
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@ -2608,8 +2645,8 @@ class PondScene(ThreeDScene):
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# open sea
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open_sea = Rectangle(
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width = 20,
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height = 10,
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width = 20 * scale,
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height = 10 * scale,
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stroke_width = LAKE_STROKE_WIDTH,
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stroke_color = LAKE_STROKE_COLOR,
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fill_color = LAKE_COLOR,
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@ -2628,7 +2665,7 @@ class PondScene(ThreeDScene):
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self.wait()
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v = 5*UP
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v = 5 * scale * UP
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self.play(
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nl_sources.shift,v,
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morty.shift,v,
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@ -2640,10 +2677,10 @@ class PondScene(ThreeDScene):
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self.number_line_labels.shift(v)
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origin_point = self.number_line.number_to_point(0)
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self.remove(obs_dot)
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#self.remove(self.obs_dot)
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self.play(
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indicator.move_to, origin_point + UP,
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indicator_reading.move_to, origin_point + UP,
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indicator.move_to, origin_point + scale * UP,
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indicator_reading.move_to, origin_point + scale * UP,
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FadeOut(open_sea),
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FadeOut(morty),
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FadeIn(self.number_line_labels)
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@ -2657,51 +2694,114 @@ class PondScene(ThreeDScene):
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nb_symbols = len(two_sided_sum.submobjects)
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two_sided_sum.scale(0.8)
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two_sided_sum.scale(TEX_SCALE)
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for (i,submob) in zip(range(nb_symbols),two_sided_sum.submobjects):
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submob.next_to(self.number_line.number_to_point(i - 13),DOWN, buff = 2)
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submob.next_to(self.number_line.number_to_point(i - 13),DOWN, buff = 2*scale)
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if (i == 0 or i % 2 == 1 or i == nb_symbols - 1): # non-fractions
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submob.shift(0.2 * DOWN)
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submob.shift(0.2 * scale * DOWN)
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self.play(Write(two_sided_sum))
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covering_rectangle = Rectangle(
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width = SPACE_WIDTH,
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height = 2 * SPACE_HEIGHT,
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width = SPACE_WIDTH * scale,
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height = 2 * SPACE_HEIGHT * scale,
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stroke_width = 0,
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fill_color = BLACK,
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fill_opacity = 1,
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)
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covering_rectangle.next_to(ORIGIN,LEFT,buff = 0)
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for i in range(10):
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self.add_foreground_mobject(self.light_sources_array[i])
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self.add_foreground_mobject(nl_sources.submobjects[i])
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self.add_foreground_mobject(indicator)
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self.add_foreground_mobject(indicator.reading)
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self.add_foreground_mobject(indicator_reading)
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half_indicator = indicator.copy()
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half_indicator.show_reading = False
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half_indicator.set_intensity(indicator.intensity / 2)
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half_indicator_reading = TexMobject("{\pi^2 \over 8}").scale(TEX_SCALE)
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half_indicator_reading.move_to(half_indicator)
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half_indicator.remove(indicator_reading)
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half_indicator.add(half_indicator_reading)
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half_indicator_copy = half_indicator.deepcopy()
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half_indicator_reading_copy = half_indicator_reading.deepcopy()
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central_plus_sign = two_sided_sum[13]
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self.play(
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FadeIn(covering_rectangle),
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FadeIn(half_indicator),
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ReplacementTransform(indicator_reading, half_indicator_reading),
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FadeOut(central_plus_sign)
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)
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p = 2*LEFT
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equals_sign = TexMobject("=").scale(TEX_SCALE)
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equals_sign.move_to(central_plus_sign)
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p = 2 * scale * LEFT
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self.play(
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half_indicator_copy.move_to,p,
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half_indicator_reading_copy.move_to,p
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indicator.move_to,p,
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half_indicator_reading.move_to,p,
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FadeIn(equals_sign)
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)
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# show Randy admiring the result
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randy = Randolph().scale(scale).move_to(2*scale*DOWN+5*scale*LEFT)
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self.play(FadeIn(randy))
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self.play(randy.change,"happy")
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class WaitScene(TeacherStudentsScene):
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def construct(self):
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self.teacher_says(TexMobject("{1\over 1^2}+{1\over 3^2}+{1\over 5^2}+{1\over 7^2}+\dots = {\pi^2 \over 8}!"))
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student_q = TextMobject("What about")
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full_sum = TexMobject("{1\over 1^2}+{1\over 2^2}+{1\over 3^2}+{1\over 4^2}+\dots?")
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full_sum.next_to(student_q,RIGHT)
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student_q.add(full_sum)
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self.student_says(student_q)
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class FinalSumManipulationScene(PiCreatureScene):
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def construct(self):
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odd_range = range(1,11,2)
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even_range = range(2,12,2)
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full_range = range(1,12,1)
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self.number_line = NumberLine(
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x_min = 0,
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x_max = 10,
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color = LAKE_STROKE_COLOR,
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number_at_center = 0,
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stroke_width = LAKE_STROKE_WIDTH,
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stroke_color = LAKE_STROKE_COLOR,
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numbers_to_show = odd_range,
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unit_size = 1,
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tick_frequency = 1,
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line_to_number_buff = LARGE_BUFF,
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label_direction = UP,
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)
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odd_lights = VMobject()
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for i in odd_range:
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pos = self.number_line.number_to_point(i)
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ls = LightSource()
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ls.move_source_to(pos)
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odd_lights.add(ls)
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self.play(ShowCreation(self.number_line))
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self.play(FadeIn(odd_lights))
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class LabeledArc(Arc):
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Reference in a new issue