1 files changed, 31 insertions, 0 deletions
diff --git a/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/general-parametric-curves/file4_helix_visualization.py b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/general-parametric-curves/file4_helix_visualization.py
new file mode 100644
index 0000000..eddd3fe
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/general-parametric-curves/file4_helix_visualization.py
@@ -0,0 +1,31 @@
+from manimlib.imports import *
+
+class helix_(ThreeDScene):
+    CONFIG = {
+    "x_min": -6,
+    "x_max": 6,
+    "y_min": -6,
+    "y_max": 6,
+    "graph_origin": ORIGIN
+    }
+    def construct(self):
+        axes = ThreeDAxes()
+        helix = ParametricFunction(
+            lambda t: np.array([
+                1.5*np.cos(TAU*t),
+                1.5*np.sin(TAU*t),
+                2*t
+            ]), t_min = -1, t_max = 2, color = RED
+        )
+        cylinder = ParametricSurface(
+        lambda u, v: np.array([
+        1.5*np.cos(TAU*v),
+        1.5*np.sin(TAU*v),
+        2*u
+        ]), u_min = -1, u_max = 2, fill_opacity = -.4, fill_color = WHITE, color = WHITE
+        )
+        self.set_camera_orientation(phi=60* DEGREES,theta=45*DEGREES)
+        self.play(FadeIn(axes), FadeIn(cylinder), ShowCreation(helix, run_time = 4))
+        self.begin_ambient_camera_rotation(rate=0.5)
+        self.wait(5)
+        self.play(FadeOut(axes),FadeOut(helix), FadeOut(cylinder))