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ScreenScalingScene
This commit is contained in:
Ben Hambrecht
@ -1030,11 +1030,14 @@ class ScreenShapingScene(ThreeDScene):
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# light source
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self.light_source = LightSource(
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opacity_function = inverse_quadratic(1,2,1),
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opacity_function = inverse_quadratic(1,5,1),
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num_levels = NUM_LEVELS,
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radius = 10,
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max_opacity = 0.2
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#screen = self.screen
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)
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self.light_source.set_max_opacity_spotlight(0.2)
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self.light_source.set_screen(self.screen)
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self.light_source.move_source_to([-5,0,0])
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@ -1251,6 +1254,7 @@ class ScreenShapingScene(ThreeDScene):
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def morph_into_3d(self):
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self.play(FadeOut(self.morty))
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axes = ThreeDAxes()
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@ -1289,11 +1293,13 @@ class ScreenShapingScene(ThreeDScene):
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self.add_foreground_mobject(self.ambient_light)
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self.add_foreground_mobject(self.spotlight)
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self.add_foreground_mobject(self.light_source.shadow)
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self.play(
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ApplyMethod(self.camera.rotation_mobject.move_to, camera_target_point),
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)
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self.remove(self.spotlight)
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self.play(Transform(new_screen0,new_screen))
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@ -1303,16 +1309,176 @@ class ScreenShapingScene(ThreeDScene):
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def prove_inverse_square_law(self):
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def orientate(mob):
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mob.move_to(self.unit_screen)
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mob.rotate(TAU/4, axis = LEFT)
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mob.rotate(TAU/4, axis = OUT)
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mob.rotate(TAU/2, axis = LEFT)
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return mob
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unit_screen_copy = self.unit_screen.copy()
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fourfold_screen = self.unit_screen.copy()
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fourfold_screen.scale(2,about_point = self.light_source.get_source_point())
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self.remove(self.spotlight)
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reading1 = TexMobject("1")
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orientate(reading1)
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self.play(FadeIn(reading1))
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self.wait()
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self.play(FadeOut(reading1))
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self.play(
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Transform(self.unit_screen, fourfold_screen)
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)
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reading21 = TexMobject("{1\over 4}").scale(0.8)
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orientate(reading21)
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reading22 = reading21.deepcopy()
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reading23 = reading21.deepcopy()
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reading24 = reading21.deepcopy()
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reading21.shift(0.5*OUT + 0.5*UP)
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reading22.shift(0.5*OUT + 0.5*DOWN)
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reading23.shift(0.5*IN + 0.5*UP)
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reading24.shift(0.5*IN + 0.5*DOWN)
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corners = fourfold_screen.get_anchors()
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midpoint1 = (corners[0] + corners[1])/2
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midpoint2 = (corners[1] + corners[2])/2
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midpoint3 = (corners[2] + corners[3])/2
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midpoint4 = (corners[3] + corners[0])/2
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midline1 = Line(midpoint1, midpoint3)
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midline2 = Line(midpoint2, midpoint4)
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self.play(
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ShowCreation(midline1),
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ShowCreation(midline2)
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)
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self.play(
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FadeIn(reading21),
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FadeIn(reading22),
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FadeIn(reading23),
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FadeIn(reading24),
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)
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self.wait()
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self.play(
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FadeOut(reading21),
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FadeOut(reading22),
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FadeOut(reading23),
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FadeOut(reading24),
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FadeOut(midline1),
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FadeOut(midline2)
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)
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ninefold_screen = unit_screen_copy.copy()
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ninefold_screen.scale(3,about_point = self.light_source.get_source_point())
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self.play(
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Transform(self.unit_screen, ninefold_screen)
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)
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reading31 = TexMobject("{1\over 9}").scale(0.8)
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orientate(reading31)
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reading32 = reading31.deepcopy()
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reading33 = reading31.deepcopy()
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reading34 = reading31.deepcopy()
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reading35 = reading31.deepcopy()
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reading36 = reading31.deepcopy()
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reading37 = reading31.deepcopy()
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reading38 = reading31.deepcopy()
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reading39 = reading31.deepcopy()
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reading31.shift(IN + UP)
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reading32.shift(IN)
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reading33.shift(IN + DOWN)
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reading34.shift(UP)
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reading35.shift(ORIGIN)
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reading36.shift(DOWN)
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reading37.shift(OUT + UP)
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reading38.shift(OUT)
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reading39.shift(OUT + DOWN)
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corners = ninefold_screen.get_anchors()
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midpoint11 = (2*corners[0] + corners[1])/3
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midpoint12 = (corners[0] + 2*corners[1])/3
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midpoint21 = (2*corners[1] + corners[2])/3
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midpoint22 = (corners[1] + 2*corners[2])/3
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midpoint31 = (2*corners[2] + corners[3])/3
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midpoint32 = (corners[2] + 2*corners[3])/3
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midpoint41 = (2*corners[3] + corners[0])/3
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midpoint42 = (corners[3] + 2*corners[0])/3
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midline11 = Line(midpoint11, midpoint32)
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midline12 = Line(midpoint12, midpoint31)
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midline21 = Line(midpoint21, midpoint42)
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midline22 = Line(midpoint22, midpoint41)
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self.play(
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ShowCreation(midline11),
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ShowCreation(midline12),
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ShowCreation(midline21),
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ShowCreation(midline22),
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)
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self.play(
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FadeIn(reading31),
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FadeIn(reading32),
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FadeIn(reading33),
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FadeIn(reading34),
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FadeIn(reading35),
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FadeIn(reading36),
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FadeIn(reading37),
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FadeIn(reading38),
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FadeIn(reading39),
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)
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class IndicatorScalingScene(Scene):
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def construct(self):
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unit_intensity = 0.6
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indicator1 = LightIndicator(show_reading = False, color = LIGHT_COLOR)
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indicator1.set_intensity(unit_intensity)
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reading1 = TexMobject("1")
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reading1.move_to(indicator1)
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indicator2 = LightIndicator(show_reading = False, color = LIGHT_COLOR)
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indicator2.shift(2*RIGHT)
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indicator2.set_intensity(unit_intensity/4)
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reading2 = TexMobject("{1\over 4}").scale(0.8)
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reading2.move_to(indicator2)
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indicator3 = LightIndicator(show_reading = False, color = LIGHT_COLOR)
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indicator3.shift(4*RIGHT)
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indicator3.set_intensity(unit_intensity/9)
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reading3 = TexMobject("{1\over 9}").scale(0.8)
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reading3.move_to(indicator3)
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self.play(FadeIn(indicator1))
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self.play(FadeIn(reading1))
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self.wait()
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self.play(FadeOut(reading1))
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self.play(Transform(indicator1, indicator2))
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self.play(FadeIn(reading2))
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self.wait()
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self.play(FadeOut(reading2))
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self.play(Transform(indicator1, indicator3))
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self.play(FadeIn(reading3))
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self.wait()
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@ -18,9 +18,10 @@ from mobject.svg_mobject import *
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from topics.three_dimensions import *
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from scipy.spatial import ConvexHull
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from traceback import *
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LIGHT_COLOR = YELLOW
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LIGHT_COLOR = GREEN
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SHADOW_COLOR = BLACK
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SWITCH_ON_RUN_TIME = 1.5
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FAST_SWITCH_ON_RUN_TIME = 0.1
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@ -34,7 +35,6 @@ SPOTLIGHT_FULL = 0.9
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SPOTLIGHT_DIMMED = 0.2
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LIGHTHOUSE_HEIGHT = 0.8
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LIGHT_COLOR = YELLOW
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DEGREES = TAU/360
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inverse_power_law = lambda maxint,scale,cutoff,exponent: \
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@ -162,6 +162,7 @@ class LightSource(VMobject):
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def move_source_to(self,point):
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print_stack()
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apoint = np.array(point)
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v = apoint - self.get_source_point()
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# Note: As discussed, things stand to behave better if source
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@ -369,11 +370,13 @@ class AmbientLight(VMobject):
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def dimming(self,new_alpha):
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print "dimming"
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old_alpha = self.max_opacity
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self.max_opacity = new_alpha
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for submob in self.submobjects:
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old_submob_alpha = submob.fill_opacity
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new_submob_alpha = old_submob_alpha * new_alpha / old_alpha
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print old_submob_alpha, new_submob_alpha
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submob.set_fill(opacity = new_submob_alpha)
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@ -395,7 +398,7 @@ class Spotlight(VMobject):
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CONFIG = {
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"source_point": VectorizedPoint(location = ORIGIN, stroke_width = 0, fill_opacity = 0),
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"opacity_function" : lambda r : 1.0/(r/2+1.0)**2,
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"color" : LIGHT_COLOR,
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"color" : GREEN, # LIGHT_COLOR,
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"max_opacity" : 1.0,
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"num_levels" : 10,
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"radius" : 5.0,
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