diff options
Diffstat (limited to 'FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)')
| -rwxr-xr-x | FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file_before_matrix.py | 70 |
1 files changed, 38 insertions, 32 deletions
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file_before_matrix.py b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file_before_matrix.py index e0476a3..96e456d 100755 --- a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file_before_matrix.py +++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file_before_matrix.py @@ -27,37 +27,37 @@ class Linear(GraphScene): self.wait() before = TextMobject("Before Linear Transformation") - before.set_color(DARK_BLUE) + before.set_color(ORANGE) before.move_to(3*UP+4*RIGHT) before.scale(0.75) dot1 = Dot().shift(self.graph_origin+1*XTD*RIGHT+1*YTD*UP) dot2 = Dot().shift(self.graph_origin+2*XTD*RIGHT+1*YTD*UP) - dot1.set_color(DARK_BLUE) - dot2.set_color(DARK_BLUE) + dot1.set_color(ORANGE) + dot2.set_color(ORANGE) p1 = TextMobject(r"$P_1$") p1.scale(0.75) - p1.set_color(DARK_BLUE) + p1.set_color(ORANGE) p1.move_to(self.graph_origin+1*XTD*RIGHT+1.5*YTD*UP) p2 = TextMobject(r"$P_2$") - p2.set_color(DARK_BLUE) + p2.set_color(ORANGE) p2.scale(0.75) p2.move_to(self.graph_origin+2*XTD*RIGHT+1.5*YTD*UP) after = TextMobject("After applying Linear Transformation") - after.set_color(RED) + after.set_color(YELLOW) after.move_to(3*UP+4.5*RIGHT) after.scale(0.5) dot3 = Dot().shift(self.graph_origin+3*XTD*RIGHT+0*YTD*UP) dot4 = Dot().shift(self.graph_origin+4*XTD*RIGHT+1*YTD*UP) - dot3.set_color(RED) - dot4.set_color(RED) + dot3.set_color(YELLOW) + dot4.set_color(YELLOW) p3 = TextMobject(r"$T(P_1)$") p3.scale(0.7) - p3.set_color(RED) + p3.set_color(YELLOW) p3.move_to(self.graph_origin+3*XTD*RIGHT-1.1*YTD*UP) p4 = TextMobject(r"$T(P_2)$") p4.scale(0.7) - p4.set_color(RED) + p4.set_color(YELLOW) p4.move_to(self.graph_origin+4*XTD*RIGHT+1.5*YTD*UP) self.play(Write(before), ShowCreation(dot1), ShowCreation(dot2),Write(p1), Write(p2)) @@ -76,52 +76,54 @@ class withgrid(LinearTransformationScene): self.wait() before = TextMobject("Before Linear Transformation") - before.set_color(DARK_BLUE) + before.set_color(ORANGE) before.move_to(3.5*UP+4*RIGHT) before.scale(0.75) dot1 = Dot().shift(1*RIGHT+1*UP) dot2 = Dot().shift(2*RIGHT+1*UP) - dot1.set_color(DARK_BLUE) - dot2.set_color(DARK_BLUE) + dot1.set_color(ORANGE) + dot2.set_color(ORANGE) dot1_c = Dot(radius = 0.05).shift(1*RIGHT+1*UP) dot2_c = Dot(radius = 0.05).shift(2*RIGHT+1*UP) - dot1_c.set_color(RED) - dot2_c.set_color(RED) + dot1_c.set_color(YELLOW) + dot2_c.set_color(YELLOW) self.add_transformable_mobject(dot1_c) self.add_transformable_mobject(dot2_c) p1 = TextMobject(r"$P_1$") p1.scale(0.75) - p1.set_color(DARK_BLUE) + p1.set_color(ORANGE) p1.move_to(1*RIGHT+1.5*UP) p2 = TextMobject(r"$P_2$") p2.scale(0.75) - p2.set_color(DARK_BLUE) + p2.set_color(ORANGE) p2.move_to(2*RIGHT+1.5*UP) after = TextMobject("After applying Linear Transformation") - after.set_color(RED) + after.set_color(YELLOW) after.move_to(3.5*UP+3.5*RIGHT) after.scale(0.75) dot3 = Dot().shift(3*RIGHT+0*UP) dot4 = Dot().shift(4*RIGHT+1*UP) - dot3.set_color(RED) - dot4.set_color(RED) + dot3.set_color(YELLOW) + dot4.set_color(YELLOW) p3 = TextMobject(r"$T(P_1)$") p3.scale(0.75) - p3.set_color(RED) + p3.set_color(YELLOW) p3.move_to(3*RIGHT-0.6*UP) p4 = TextMobject(r"$T(P_2)$") p4.scale(0.75) - p4.set_color(RED) + p4.set_color(YELLOW) p4.move_to(4*RIGHT+1.5*UP) self.play(Write(before), ShowCreation(dot1), ShowCreation(dot2),Write(p1), Write(p2)) self.wait(3) matrix = [[1,2],[1,-1]] + dot1.set_color(GREY) + dot2.set_color(GREY) + self.play(FadeIn(dot1),FadeIn(dot2)) self.apply_matrix(matrix) - self.play(FadeOut(dot1),FadeOut(dot2)) self.play(Transform(before,after), Transform(p2,p4), Transform(p1,p3)) self.play(Transform(before,after)) self.wait(3) @@ -145,7 +147,7 @@ class ThreeDExplanation(ThreeDScene): before = TextMobject("Before Linear Transformation") self.add_fixed_in_frame_mobjects(before) - before.set_color(YELLOW) + before.set_color(ORANGE) before.move_to(3.5*UP+4*RIGHT) before.scale(0.75) @@ -158,9 +160,9 @@ class ThreeDExplanation(ThreeDScene): dot1 = Dot().shift(1*RIGHT+1*UP) dot2 = Dot().shift(2*RIGHT+1*UP) dot3 = Dot().shift(1*RIGHT+1*DOWN) - dot1.set_color(YELLOW) - dot2.set_color(YELLOW) - dot3.set_color(YELLOW) + dot1.set_color(ORANGE) + dot2.set_color(ORANGE) + dot3.set_color(ORANGE) self.play(ShowCreation(before)) p1.move_to(1*RIGHT+1*UP+[0,0,0.5]) @@ -170,9 +172,9 @@ class ThreeDExplanation(ThreeDScene): dot1_c = Dot(radius = 0.05).shift(1*RIGHT+1*UP) dot2_c = Dot(radius = 0.05).shift(0*RIGHT+2*UP) dot3_c = Dot(radius = 0.05).shift(1*RIGHT-1*UP) - dot1_c.set_color(RED) - dot2_c.set_color(RED) - dot3_c.set_color(RED) + dot1_c.set_color(YELLOW) + dot2_c.set_color(YELLOW) + dot3_c.set_color(YELLOW) axes = ThreeDAxes(x_min = -7,x_max=7,y_min=-4,y_max=4,z_min=-4,z_max=4) self.play(ShowCreation(axes)) @@ -191,7 +193,7 @@ class ThreeDExplanation(ThreeDScene): self.play(FadeOut(before)) after = TextMobject("After applying Linear Transformation") self.add_fixed_in_frame_mobjects(after) - after.set_color(RED) + after.set_color(YELLOW) after.move_to(3.5*UP+3.5*RIGHT) after.scale(0.75) @@ -223,4 +225,8 @@ class ThreeDExplanation(ThreeDScene): self.add_fixed_in_frame_mobjects(ending) self.play(FadeOut(plane)) - self.wait(9) + self.wait(3) + + self.begin_ambient_camera_rotation(rate=0.5) + self.wait(5) + self.stop_ambient_camera_rotation() |