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from manimlib.imports import *
class Surface(ThreeDScene):
def construct(self):
axes=ThreeDAxes()
x=TextMobject("X")
y=TextMobject("Y")
z=TextMobject("Z")
x.rotate(PI/2, axis=RIGHT)
x.rotate(PI/4,axis=OUT)
x.shift(5.8*DOWN)
y.rotate(PI/2, axis=RIGHT)
y.rotate(PI/8,axis=OUT)
y.shift(5.8*RIGHT)
z.rotate(PI/2, axis=RIGHT)
z.rotate(PI/5,axis=OUT)
z.shift(3.2*OUT+0.4*LEFT)
axis_label=VGroup(x,y,z)
para_hyp = ParametricSurface(
lambda u, v: np.array([
u,
v,
2+u/4+np.sin(v)
]),v_min=-3,v_max=-0.4,u_min=-1,u_max=1,
resolution=(15, 32)).scale(1)
para_hyp.scale(0.3)
para_hyp.shift(1.2*RIGHT + 0.2*OUT + 0.4*DOWN)
para_hyp.rotate(PI,axis=RIGHT)
para_hyp.scale(2.5)
# para_hyp.rotate(PI/3.2,axis=OUT)
para_hyp2= ParametricSurface(
lambda u, v: np.array([
u,
v,
2+u/4+np.sin(v)
]),v_min=-3,v_max=-0.4,u_min=-1,u_max=1,
resolution=(15, 32)).scale(1)
para_hyp2.scale(0.3)
para_hyp2.shift(1.2*RIGHT + 0.2*OUT + 0.4*DOWN)
para_hyp2.rotate(PI,axis=RIGHT)
para_hyp2.scale(2.5)
rec=Rectangle(height=2.11, width=1.58, color=RED, fill_opacity=0.66)
rec.shift(1.3*RIGHT + 2.295*DOWN)
# rec.scale(2.5)
l1=DashedLine(start=0.5*RIGHT+1.1*DOWN+1.55*OUT,end=0.5*RIGHT+1.1*DOWN)
l2=DashedLine(start=2.1*RIGHT+1.1*DOWN+1.25*OUT,end=2.1*RIGHT+1.1*DOWN)
l3=DashedLine(start=2.1*RIGHT+3.4*DOWN+1.6*OUT,end=2.1*RIGHT+3.4*DOWN)
l4=DashedLine(start=0.5*RIGHT+3.4*DOWN+2*OUT,end=0.5*RIGHT+3.4*DOWN)
l=VGroup(l1,l2,l3,l4)
s=TextMobject("S",tex_to_color_map={"S": YELLOW})
s.rotate(PI/4,axis=RIGHT)
s.rotate(PI/15,axis=OUT)
s.shift(RIGHT + 2*OUT + 1.5*DOWN)
d=TextMobject("D",tex_to_color_map={"D": YELLOW})
d.scale(0.85)
d.shift(1.26*RIGHT + 2.45*DOWN)
self.set_camera_orientation(phi=75 * DEGREES,theta=-60*DEGREES)
self.begin_ambient_camera_rotation(rate=-0.02)
self.play(ShowCreation(axes),ShowCreation(axis_label))
self.wait(1.3)
self.play(ShowCreation(para_hyp))
self.play(ShowCreation(s))
self.add(para_hyp2)
self.play(Transform(para_hyp,rec),run_time=2)
self.play(ShowCreation(d))
self.wait(3)
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