From c538cac3c62c0a9552d200fd6bbae62a1b7111a4 Mon Sep 17 00:00:00 2001
From: Grant Sanderson <grant@3blue1brown.com>
Date: Mon, 1 Nov 2021 13:19:26 -0700
Subject: [PATCH] Tweaks to thumbnails, etc.

---
 _2021/holomorphic_dynamics.py |  3 +++
 _2021/newton_fractal.py       | 36 ++++++++++++++++++++++++++++++++++-
 _2021/quintic.py              | 18 ++++++++++++++----
 3 files changed, 52 insertions(+), 5 deletions(-)

diff --git a/_2021/holomorphic_dynamics.py b/_2021/holomorphic_dynamics.py
index 72ce66f..11c668a 100644
--- a/_2021/holomorphic_dynamics.py
+++ b/_2021/holomorphic_dynamics.py
@@ -3562,6 +3562,9 @@ class MetaFractal(IntroNewtonFractal):
         frame.target.move_to(point1)
         frame.target.set_height(height1)
 
+        fractal.set_saturation_factor(2)
+        plane.remove(plane.coordinate_labels)
+
         self.play(
             MoveToTarget(frame),
             run_time=8,
diff --git a/_2021/newton_fractal.py b/_2021/newton_fractal.py
index 23183e3..68dd7c7 100644
--- a/_2021/newton_fractal.py
+++ b/_2021/newton_fractal.py
@@ -3607,7 +3607,7 @@ class SimpleFractalScene(IntroNewtonFractal):
     colors = ROOT_COLORS_DEEP
     display_polynomial_label = False
     display_root_values = False
-    n_steps = 12
+    n_steps = 25
 
     def construct(self):
         self.init_fractal(root_colors=self.colors)
@@ -5088,3 +5088,37 @@ class MetaFractal(IntroNewtonFractal):
             ),
             run_time=10
         )
+
+
+class Thumbnail2(SimpleFractalScene):
+    def construct(self):
+        super().construct()
+        fractal = self.fractal
+        fractal.set_saturation_factor(4.5)
+        self.remove(self.plane)
+        self.remove(self.root_dots)
+
+        frame = self.camera.frame
+        frame.set_height(4)
+
+        fc = fractal.copy()
+        fc.set_saturation_factor(2)
+        fc.set_julia_highlight(0.01)
+        self.add(fc)
+
+        # self.clear()
+        # back = fractal.copy()
+        # back.set_saturation_factor(0)
+        # back.set_opacity(0.1)
+        # self.add(back)
+
+        # N = 20
+        # for x in np.linspace(np.log(1e-3), np.log(0.1), N):
+        #     jh = np.exp(x)
+        #     fc = fractal.copy()
+        #     fc.set_saturation_factor(1)
+        #     fc.set_julia_highlight(jh)
+        #     fc.set_opacity(2 / N)
+        #     self.add(fc)
+
+        self.embed()
diff --git a/_2021/quintic.py b/_2021/quintic.py
index 68c627d..891e047 100644
--- a/_2021/quintic.py
+++ b/_2021/quintic.py
@@ -591,11 +591,13 @@ class CubicFormula(RootCoefScene):
         )
 
     def add_crt_dots(self):
-        crt_dots = Dot(**self.sqrt_dot_config).replicate(2)
+        crt_dots = Dot(**self.sqrt_dot_config).replicate(3)
 
         # TODO, refactor to prevent code duplication here
         def update_crt_dots(dots):
-            q, p, zero, one = self.get_coefs()
+            coefs = self.get_coefs()
+            roots = coefficients_to_roots(coefs)
+            q, p, zero, one = coefs
             disc = (q**2 / 4) + (p**3 / 27)
             deltas = get_nth_roots(disc, 2)
             # TODO add all the cube roots
@@ -612,11 +614,17 @@ class CubicFormula(RootCoefScene):
         self.add(crt_dots)
 
 
-
 # Scenes
 
+class Cubic(RootCoefScene):
+    coefs = [1, -1, 0, 1]
+
+    def construct(self):
+        self.embed()
+
+
 class AmbientRootSwapping(RootCoefScene):
-    n_swaps = 20
+    n_swaps = 0
 
     def construct(self):
         for x in range(self.n_swaps):
@@ -625,6 +633,8 @@ class AmbientRootSwapping(RootCoefScene):
             self.swap_roots(*indices)
             self.wait()
 
+        self.embed()
+
 
 class CubicFormulaTest(CubicFormula):
     def construct(self):