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Diffstat (limited to 'FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Vertical_Shear.py')
| -rw-r--r-- | FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Vertical_Shear.py | 52 |
1 files changed, 52 insertions, 0 deletions
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Vertical_Shear.py b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Vertical_Shear.py new file mode 100644 index 0000000..718e4e0 --- /dev/null +++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Vertical_Shear.py @@ -0,0 +1,52 @@ +from manimlib.imports import * + +class Ver_Shear(GraphScene): + CONFIG = { + "x_min" : -5, + "x_max" : 5, + "y_min" : -5, + "y_max" : 5, + "graph_origin" : ORIGIN+3.5*LEFT, + "x_axis_width" : 7, + "y_axis_height" : 7 + #"x_labeled_nums" : list(range(-5,6)), + #"y_labeled_nums" : list(range(-5,6)), + } + + def construct(self): + XTD = self.x_axis_width/(self.x_max-self.x_min) + YTD = self.y_axis_height/(self.y_max-self.y_min) + + Text1 = TextMobject("Before"," Vertical") + Text1[0].set_color(YELLOW) + Text2 = TextMobject("Shear Transformation") + + Text1.move_to(4*RIGHT+2*UP) + Text2.move_to(4*RIGHT+1*UP) + + self.setup_axes(animate=False) + arrow_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT, end = self.graph_origin+1*XTD*RIGHT+ 0.25*RIGHT) + arrow_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*DOWN, end = self.graph_origin+1*XTD*UP+0.25*UP) + arrow_i.set_color(YELLOW) + arrow_j.set_color(YELLOW) + + square = Polygon(self.graph_origin,self.graph_origin+2*XTD*RIGHT, self.graph_origin+2*XTD*RIGHT+2*YTD*UP, self.graph_origin+2*YTD*UP) + square.set_color(DARK_BLUE) + self.play(ShowCreation(square), Write(Text1), Write(Text2), ShowCreation(arrow_i), ShowCreation(arrow_j)) + self.wait(1) + + Text3 = TextMobject("After"," Vertical") + Text3[0].set_color(RED) + Text4 = TextMobject("Shear Transformation") + + Text3.move_to(4*RIGHT+2*UP) + Text4.move_to(4*RIGHT+1*UP) + + trans_arrow_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.15*DOWN + 0.15*LEFT, end = self.graph_origin+1*XTD*UP+1*YTD*RIGHT+0.25*UP+0.25*RIGHT) + trans_arrow_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*DOWN, end = self.graph_origin+1*XTD*UP+ 0.25*UP) + trans_arrow_i.set_color(RED) + trans_arrow_j.set_color(RED) + + rhombus = Polygon(self.graph_origin,self.graph_origin+2*XTD*UP, self.graph_origin+2*XTD*RIGHT+4*YTD*UP, self.graph_origin+2*XTD*RIGHT+2*YTD*UP) + self.play(Transform(arrow_i,trans_arrow_i), Transform(arrow_j,trans_arrow_j), FadeOut(square), ShowCreation(rhombus), Transform(Text1,Text3), Transform(Text2,Text4)) + self.wait(1)
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