Added some writing

.idea/other.xml

@@ -0,0 +1,6 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="PySciProjectComponent">
+    <option name="PY_SCI_VIEW_SUGGESTED" value="true" />
+  </component>
+</project>

README.md

@@ -3,3 +3,7 @@
 Goldreich-Goldwasser-Halevi (GGH) is an early example of a lattice-based cryptosystem, devised in 1997.
 
 In 1999, GGH was broken by Phong Nguyen.
+
+## Build
+
+`manim -qm main.py SCENE && mpv ./media/videos/main/720p30/SCENE.mp4`

main.py

@@ -163,6 +163,42 @@ class LatticeProblems(Scene):
         self.play(ApplyMethod(text.to_corner, UP + LEFT))
         self.wait()
 
+        diagram_1 = VGroup()
+        diagram_1.add(Dot(ORIGIN))
+        diagram_1.add(Arrow(ORIGIN, [0.25, 1, 0], buff=0))
+        diagram_1.add(Arrow(ORIGIN, [0.5, 1, 0], buff=0))
+        arrow = Arrow(ORIGIN, [1, 0, 0], buff=0)
+        arrow.set_color(BLUE)
+        arrow.set_z_index(-1)
+        diagram_1.add(arrow)
+
+        diagram_1.shift(3 * LEFT)
+        label_1 = Tex("Closest Vector Problem", font_size=MEDIUM_FONT)
+        label_1.next_to(diagram_1, DOWN)
+
+        diagram_2 = VGroup()
+        diagram_2.add(Dot(ORIGIN))
+        diagram_2.add(Arrow(ORIGIN, [1, 1, 0], buff=0))
+        diagram_2.add(Arrow(ORIGIN, [-1, 0, 0], buff=0))
+        arrow_1 = Arrow(ORIGIN, [1, 0, 0], buff=0)
+        arrow_1.set_color(BLUE)
+        arrow_1.set_z_index(-1)
+        diagram_2.add(arrow_1)
+        arrow_2 = Arrow(ORIGIN, [0, 1, 0], buff=0)
+        arrow_2.set_color(BLUE)
+        arrow_2.set_z_index(-1)
+        diagram_2.add(arrow_2)
+
+        diagram_2.shift(3 * RIGHT)
+        label_2 = Tex("Shortest Basis Problem", font_size=MEDIUM_FONT)
+        label_2.next_to(diagram_2, DOWN)
+
+        self.play(Create(diagram_1), Create(diagram_2))
+        self.wait()
+
+        self.play(Create(label_1), Create(label_2))
+        self.wait()
+
 
 class OrthoDefect(Scene):
     def construct(self):
@@ -182,7 +218,7 @@ class OrthoDefect(Scene):
         diagram_1.add(Arrow(ORIGIN, [1, 0, 0], buff=0))
         diagram_1.add(Arrow(ORIGIN, [0, 1, 0], buff=0))
 
-        diagram_1.shift(2 * LEFT)
+        diagram_1.shift(3 * LEFT)
         diagram_1.set_color(GREEN)
         label_1 = Tex("Defect 1", font_size=MEDIUM_FONT)
         label_1.next_to(diagram_1, DOWN)
@@ -192,7 +228,7 @@ class OrthoDefect(Scene):
         diagram_2.add(Arrow(ORIGIN, [0.25, 1, 0], buff=0))
         diagram_2.add(Arrow(ORIGIN, [0.5, 1, 0], buff=0))
 
-        diagram_2.shift(2 * RIGHT)
+        diagram_2.shift(3 * RIGHT)
         diagram_2.set_color(RED)
         label_2 = Tex(r"Defect $\approx$ 4.6", font_size=MEDIUM_FONT)
         label_2.next_to(diagram_2, DOWN)