HilbertCurveIsPerfect indeed

hilbert/section2.py

@@ -1,7 +1,103 @@
-from mobject import Mobject
+from mobject import Mobject, Point
+from mobject.tex_mobject import \
+    TexMobject, TextMobject, Brace
+from mobject.image_mobject import \
+    ImageMobject, MobjectFromRegion
+
 from scene import Scene
-from animation.transform import Transform
+
-from animation.simple_animations import ShowCreation
+from animation import Animation
-from topics.geometry import Line, Point
+from animation.transform import \
+    Transform, CounterclockwiseTransform, ApplyMethod,\
+    GrowFromCenter, ClockwiseTransform, ApplyPointwiseFunction
+from animation.simple_animations import \
+    ShowCreation, ShimmerIn, FadeOut, FadeIn
+from animation.meta_animations import \
+    DelayByOrder, TransformAnimations
+from animation.playground import Vibrate
+
+from topics.geometry import \
+    Line, Dot, Arrow, Grid, Square, Point
+from topics.characters import \
+    ThoughtBubble, SpeechBubble, Mathematician
+from topics.number_line import UnitInterval
+from topics.three_dimensions import Stars
+
+from region import region_from_polygon_vertices
+
+import displayer as disp
+
+from hilbert.curves import \
+    TransformOverIncreasingOrders, FlowSnake, HilbertCurve, \
+    SnakeCurve
+
+from section1 import get_mathy_and_bubble
+
+from scipy.spatial.distance import cdist
 
 from helpers import *
+
+
+class SectionTwo(Scene):
+    def construct(self):
+        self.add(TextMobject("Section 2: Filling space"))
+        self.dither()
+
+class HilbertCurveIsPerfect(Scene):
+    def construct(self):
+        curve = HilbertCurve(order = 6)
+        colored_curve = curve.copy()
+        colored_curve.thin_out(3)
+        lion = ImageMobject("lion", invert = False)
+        lion.replace(curve, stretch = True)
+        sparce_lion = lion.copy()
+        sparce_lion.thin_out(100)
+        distance_matrix = cdist(colored_curve.points, sparce_lion.points)
+        closest_point_indices = np.apply_along_axis(
+            np.argmin, 1, distance_matrix
+        )
+        colored_curve.rgbs = sparce_lion.rgbs[closest_point_indices]
+        line = Line(5*LEFT, 5*RIGHT)
+        Mobject.align_data(line, colored_curve)
+        line.rgbs = colored_curve.rgbs
+
+        self.add(lion)
+        self.play(ShowCreation(curve, run_time = 3))
+        self.play(
+            FadeOut(lion),
+            Transform(curve, colored_curve),
+            run_time = 3
+        )
+        self.dither()
+        self.play(Transform(curve, line, run_time = 5))
+        self.dither()
+
+
+class AskMathematicianFriend(Scene):
+    def construct(self):
+        mathy, bubble = get_mathy_and_bubble()
+
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