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Finishing touches to Winding
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parent
25bc1faab2
commit
35270949ab
2 changed files with 106 additions and 14 deletions
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@ -602,12 +602,15 @@ def walker_animation_with_display(
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display = DecimalNumber(0,
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num_decimal_points = num_decimal_points,
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fill_color = WHITE,
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include_background_rectangle = True)
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display.background_rectangle.fill_opacity = 0.5
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display.background_rectangle.fill_color = GREY
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display.background_rectangle.scale(1.2)
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# include_background_rectangle = True
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include_background_rectangle = False
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)
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# display.background_rectangle.fill_opacity = 0.5
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# display.background_rectangle.fill_color = GREY
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# display.background_rectangle.scale(1.2)
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displaycement = 0.5 * DOWN # How about that pun, eh?
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display.move_to(walker.get_center() + displaycement)
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# display.move_to(walker.get_center() + displaycement)
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display.next_to(walker, DOWN+RIGHT, SMALL_BUFF)
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display_anim = ChangingDecimal(display,
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number_update_func,
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tracked_mobject = walker_anim.compound_walker.walker,
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@ -2044,8 +2047,10 @@ class FundThmAlg(EquationSolver2d):
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class SolveX5MinusXMinus1(EquationSolver2d):
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CONFIG = {
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"func" : plane_func_from_complex_func(lambda c : c**5 - c - 1),
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"num_iterations" : 5,
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"num_iterations" : 10,
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"use_fancy_lines" : True,
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"linger_parameter" : 0.5,
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"show_cursor" : True,
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}
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class SolveX5MinusXMinus1Parallel(SolveX5MinusXMinus1):
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@ -1928,6 +1928,20 @@ class TinyLoopAroundRed(TinyLoop):
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"target_coords" : (-1, 1),
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}
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class ConfusedPiCreature(PiCreatureScene):
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def construct(self):
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morty = self.pi_creature
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morty.set_color(YELLOW_E)
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morty.flip()
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morty.center()
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self.play(morty.change, "awe", DOWN+3*RIGHT)
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self.wait(2)
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self.play(morty.change, "confused")
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self.wait(2)
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self.play(morty.change, "pondering")
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self.wait(2)
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class FailureOfComposition(ColorMappedObjectsScene):
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CONFIG = {
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"func" : lambda p : (
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@ -2354,7 +2368,6 @@ class TransitionFromPathsToBoundaries(ColorMappedObjectsScene):
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self.start_rev = self.get_output_rev()
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self.curr_winding = 0
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class TransitionFromPathsToBoundariesArrowless(TransitionFromPathsToBoundaries):
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CONFIG = {
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"func" : plane_func_by_wind_spec(
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@ -2644,9 +2657,7 @@ class PolynomialTerms(MonomialTerm):
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class SearchSpacePerimeterVsArea(EquationSolver2d):
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CONFIG = {
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"func" : plane_func_by_wind_spec(
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(-3, -1.3, 2), (0.1, 0.2, 1), (2.8, -2, 1)
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),
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"func" : example_plane_func,
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"num_iterations" : 15,
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"display_in_parallel" : False,
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"use_fancy_lines" : True,
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@ -2709,6 +2720,15 @@ class SearchSpacePerimeterVsArea(EquationSolver2d):
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self.play(FadeOut(full_rect))
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self.wait()
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class ShowPolynomialFinalState(SolveX5MinusXMinus1):
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CONFIG = {
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"num_iterations" : 15,
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}
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def construct(self):
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self.force_skipping()
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SolveX5MinusXMinus1.construct(self)
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self.revert_to_original_skipping_status()
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class PiCreatureInAwe(Scene):
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def construct(self):
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randy = Randolph()
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@ -2729,8 +2749,9 @@ class ShowComplexFunction(Scene):
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def construct(self):
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plane = ComplexPlane()
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plane.add_coordinates()
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plane.remove(plane.coordinate_labels[-1])
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plane.show()
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four_i = plane.coordinate_labels[-1]
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plane.coordinate_labels.remove(four_i)
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plane.remove(four_i)
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title = TextMobject("Complex Plane")
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title.to_edge(UP, buff = MED_SMALL_BUFF)
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@ -2851,6 +2872,47 @@ class WindingNumbersInInputOutputContext(PathContainingZero):
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rate_func = bezier([0, 0, 1, 1])
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)
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class SolveX5SkipToEnd(SolveX5MinusXMinus1):
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CONFIG = {
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"num_iterations" : 4,
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}
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def construct(self):
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self.force_skipping()
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SolveX5MinusXMinus1.construct(self)
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self.revert_to_original_skipping_status()
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mobjects = VGroup(*self.get_mobjects())
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lines = VGroup()
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rects = VGroup()
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for mob in mobjects:
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if mob.background_image_file is not None:
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mob.set_stroke(width = 2)
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lines.add(mob)
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elif isinstance(mob, Polygon):
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rects.add(mob)
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else:
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self.remove(mob)
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self.clear()
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self.add(lines, rects)
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class ZeroFoundOnBoundary(Scene):
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def construct(self):
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arrow = Vector(DOWN+LEFT, color = WHITE)
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words = TextMobject("Found zero on boundary!")
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words.next_to(arrow.get_start(), UP)
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words.shift(1.5*RIGHT)
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point = VectorizedPoint()
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point.next_to(arrow, DOWN+LEFT)
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self.play(Flash(point))
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self.play(
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GrowArrow(arrow),
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Write(words),
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)
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self.wait()
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class AllOfTheVideos(Scene):
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CONFIG = {
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"camera_config" : {
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@ -3188,8 +3250,33 @@ class EndScreen(PatreonEndScreen, PiCreatureScene):
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self.play(morty.change, mode)
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self.wait(2)
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class Thumbnail(SearchSpacePerimeterVsArea):
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CONFIG = {
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"num_iterations" : 18,
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"func" : plane_func_by_wind_spec(
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(-3, -1.3, 2), (0.1, 0.2, 1), (2.8, -2, 1)
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),
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}
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def construct(self):
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self.force_skipping()
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EquationSolver2d.construct(self)
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self.revert_to_original_skipping_status()
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mobjects = VGroup(*self.get_mobjects())
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lines = VGroup()
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rects = VGroup()
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get_length = lambda mob : max(mob.get_width(), mob.get_height())
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for mob in mobjects:
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if mob.background_image_file is not None:
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mob.set_stroke(width = 4*np.sqrt(get_length(mob)))
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lines.add(mob)
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elif isinstance(mob, Polygon):
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rects.add(mob)
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else:
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self.remove(mob)
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self.clear()
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self.add(lines)
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