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tweaked IPTScene1, wrote IPTScene2 (inset formula)
This commit is contained in:
Ben Hambrecht
parent
9e0b4d285e
commit
29cdd3e8d7
1 changed files with 95 additions and 41 deletions
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@ -1502,7 +1502,8 @@ class BackToEulerSumScene(PiCreatureScene):
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sum_indicator.move_to(collection_point)
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self.play(
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Transform(collected_indicators,sum_indicator)
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FadeOut(collected_indicators),
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FadeIn(sum_indicator)
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)
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@ -1697,25 +1698,24 @@ class IPTScene1(PiCreatureScene):
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def construct(self):
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SCREEN_SCALE = 0.1
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SCREEN_THICKNESS = 0.2
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morty = self.get_primary_pi_creature()
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morty.scale(0.3).flip()
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right_pupil = morty.pupils[1]
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morty.next_to(C, LEFT, buff = 0, submobject_to_align = right_pupil)
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self.add_foreground_mobject(morty)
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line_a = VMobject()
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line_a.set_points_as_corners([B,C])
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line_b = VMobject()
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line_b.set_points_as_corners([A,C])
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line_c = VMobject()
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line_c.set_points_as_corners([A,B])
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line_h = VMobject()
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line_h.set_points_as_corners([C,H])
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stroke_width = 6
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line_a = Line(B,C,stroke_width = stroke_width)
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line_b = Line(A,C,stroke_width = stroke_width)
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line_c = Line(A,B,stroke_width = stroke_width)
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line_h = Line(C,H,stroke_width = stroke_width)
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length_a = np.linalg.norm(B - C)
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length_b = np.linalg.norm(A - C)
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length_c = np.linalg.norm(A - B)
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length_h = np.linalg.norm(C - H)
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length_a = line_a.get_length()
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length_b = line_b.get_length()
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length_c = line_c.get_length()
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length_h = line_h.get_length()
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label_a = TexMobject("a")
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label_a.next_to(line_a, LEFT, buff = 0.5)
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@ -1724,8 +1724,16 @@ class IPTScene1(PiCreatureScene):
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label_h = TexMobject("h")
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label_h.next_to(line_h.get_center(), RIGHT, buff = 0.5)
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self.add(line_a, line_b, line_c, label_a, label_b, line_h)
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self.add_foreground_mobject(line_a)
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self.add_foreground_mobject(line_b)
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self.add_foreground_mobject(line_c)
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self.add_foreground_mobject(line_h)
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self.add_foreground_mobject(label_a)
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self.add_foreground_mobject(label_b)
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self.add_foreground_mobject(label_h)
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self.add_foreground_mobject(morty)
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ls1 = LightSource(radius = 10)
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ls1.move_source_to(B)
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@ -1745,35 +1753,30 @@ class IPTScene1(PiCreatureScene):
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screen_width_bp = screen_width_b * length_b / length_c
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screen_width_c = SCREEN_SCALE * length_c
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screen_thickness_after = 0.2
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screen_thickness_a = screen_thickness_after * length_c/length_a
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screen_thickness_b = screen_thickness_after * length_c/length_b
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screen_thickness_a = SCREEN_THICKNESS
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screen_thickness_b = SCREEN_THICKNESS
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screen1 = Rectangle(width = screen_width_b,
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height = screen_thickness_b,
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stroke_width = 0,
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fill_opacity = 1.0)
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screen1.next_to(C,RIGHT+DOWN,buff = 0)
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screen1.move_to(C + screen_width_b/2 * RIGHT + screen_thickness_b/2 * DOWN)
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self.add_foreground_mobject(morty)
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self.play(
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FadeIn(screen1)
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)
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self.add_foreground_mobject(screen1)
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self.add_foreground_mobject(line_a)
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self.add_foreground_mobject(line_b)
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ls1.set_screen(screen1)
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screen_tracker = ScreenTracker(ls1)
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self.remove(ls1.spotlight)
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self.add(screen_tracker)
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#self.add(ls1.shadow)
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self.play(
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SwitchOn(ls1.spotlight),
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FadeIn(ls1.shadow),
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ls1.dim_ambient,
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SwitchOff(ls1.ambient_light)
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)
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@ -1798,11 +1801,19 @@ class IPTScene1(PiCreatureScene):
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# add and move the second light source and screen
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ls2 = ls1.deepcopy()
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# ls2.move_source_to(A)
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screen2 = Rectangle(width = screen_width_a, height = 0.2, stroke_width = 0, fill_opacity = 1)
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ls2.move_source_to(A)
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screen2 = Rectangle(width = screen_width_a,
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height = screen_thickness_a,
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stroke_width = 0,
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fill_opacity = 1.0)
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screen2.rotate(-TAU/4)
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screen2.next_to(C,UP,buff = 0)
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screen2.move_to(C + screen_width_a/2 * UP + screen_thickness_a/2 * LEFT)
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self.play(
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FadeIn(screen2)
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)
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self.add_foreground_mobject(screen2)
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self.add_foreground_mobject(morty)
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# the same scene adding sequence as before
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ls2.set_screen(screen2)
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@ -1813,17 +1824,10 @@ class IPTScene1(PiCreatureScene):
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SwitchOn(ls2.ambient_light)
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)
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self.play(
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FadeIn(screen2)
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)
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self.add_foreground_mobject(screen2)
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self.add_foreground_mobject(line_a)
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self.add_foreground_mobject(line_b)
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self.play(
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SwitchOn(ls2.spotlight),
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FadeIn(ls2.shadow),
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ls2.dim_ambient
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SwitchOff(ls2.ambient_light)
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)
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@ -1834,7 +1838,7 @@ class IPTScene1(PiCreatureScene):
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screen2pp = screen2.deepcopy()
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angle = np.arccos(length_a / length_c)
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screen2p.stretch_to_fit_height(screen_width_ap)
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screen2p.rotate(angle)
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screen2p.rotate(angle, about_point = C + screen_width_ap * UP)
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# we can reuse the translation vector
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screen2p.shift(vector)
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@ -1844,13 +1848,63 @@ class IPTScene1(PiCreatureScene):
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Transform(screen2,screen2p)
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)
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# # now transform both screens back
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# self.play(
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# Transform(screen1, screen1pp),
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# Transform(screen2, screen2pp),
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# )
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# now transform both screens back
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self.play(
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Transform(screen1, screen1pp),
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Transform(screen2, screen2pp),
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)
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class IPTScene2(Scene):
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def construct(self):
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intensity1 = 0.3
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intensity2 = 0.2
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formula_scale = 01.2
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indy_radius = 1
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indy1 = LightIndicator(color = LIGHT_COLOR, show_reading = False, radius = indy_radius)
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indy1.set_intensity(intensity1)
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reading1 = TexMobject("{1\over a^2}").scale(formula_scale).move_to(indy1)
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indy1.add(reading1)
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indy2 = LightIndicator(color = LIGHT_COLOR, show_reading = False, radius = indy_radius)
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indy2.set_intensity(intensity2)
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reading2 = TexMobject("{1\over b^2}").scale(formula_scale).move_to(indy2)
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indy2.add(reading2)
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indy3 = LightIndicator(color = LIGHT_COLOR, show_reading = False, radius = indy_radius)
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indy3.set_intensity(intensity1 + intensity2)
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reading3 = TexMobject("{1\over h^2}").scale(formula_scale).move_to(indy3)
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indy3.add(reading3)
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plus_sign = TexMobject("+").scale(formula_scale)
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equals_sign = TexMobject("=").scale(formula_scale)
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plus_sign.next_to(indy1, RIGHT)
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indy2.next_to(plus_sign, RIGHT)
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equals_sign.next_to(indy2, RIGHT)
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indy3.next_to(equals_sign, RIGHT)
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formula = VGroup(
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indy1, plus_sign, indy2, equals_sign, indy3
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)
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formula.move_to(ORIGIN)
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self.play(FadeIn(indy1))
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self.play(FadeIn(plus_sign), FadeIn(indy2))
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self.play(FadeIn(equals_sign), FadeIn(indy3))
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buffer = 1.5
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box = Rectangle(width = formula.get_width() * buffer,
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height = formula.get_height() * buffer)
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box.move_to(formula)
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text = TextMobject("Inverse Pythagorean Theorem").scale(formula_scale)
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text.next_to(box,UP)
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self.play(ShowCreation(box),Write(text))
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class PondScene(Scene):
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