def __init__(self, fig, slowness):
super().__init__(fig)
self.index = 0
self.slowness = slowness
self.ring = cg_objects.circle(cg_objects.Vector.i_hat * 2.5) \
.rotate_y(math.pi / 2)
self.base_frame = cg_objects.Frame.unit \
.translate(cg_objects.Vector(0, -6, 0))
self.lower = cg_objects.Frame.unit \
.translate(cg_objects.Vector(0, 3, -3))
self.upper = cg_objects.Frame.unit \
.translate(cg_objects.Vector(0, 3, 3))
def model(self):
position = self.gravity.project_onto(self.incline_frame.x) * \
((self.time_1 ** 2) / 4)
angle = abs(position) / self.radius
self.tangent_frame = self.incline_frame.translate(position)
self.model_frame = self.tangent_frame \
.local.translate(cg_objects.Vector(0, 0, self.radius)) \
.local.rotate_y(angle)
return self.model_frame @ self._model
def __init__(self, fig, slowness):
super().__init__(fig)
self.index = 0
self.slowness = slowness
self.fig = fig
self._model = cg_objects.cube()
self.frame = cg_objects.Frame.unit \
.translate(cg_objects.Vector(-5, 2, -2)) \
.local.scale(3) \
.local.rotate_x(-math.pi / 8)
def __init__(self, fig):
super().__init__(fig)
self.time_0 = None
self.time_1 = 0
self.gravity = cg_objects.Vector.k_hat * -9.80665
self.radius = 1
self._model = cg_objects.circle(cg_objects.Vector(self.radius, 0, 0)) \
.rotate_x(math.pi / 2)
self.height = 2
self.run = 10
self.incline = cg_objects.Vector(self.run, 0, -self.height)
self.angle = cg_objects.Vector.i_hat.angle(self.incline)
self.incline_frame = cg_objects.Frame.unit \
.rotate_y(self.angle) \
.translate(cg_objects.Vector(0, 0, self.height))
self.tangent_frame = self.incline_frame
self.model_frame = self.tangent_frame
def __init__(self, fig):
super().__init__(fig)
self.outer = cg_objects.Frame.unit.scale(3)
# Each cube is a third smaller, in the middle of its parent cube, and
# rotated 30 degrees from its parent about its own center
self.inner = cg_objects.Frame.unit \
.translate(cg_objects.Vector(1, 1, 1)) \
.scale(1 / 3) \
.local.rotate_axis(
math.pi / 6, through=cg_objects.Point(.5, .5, 0)
)
self.cube = cg_objects.cube()
def __init__(self, *args, **kwargs):
super().__init__(*args, **kwargs)
self.model = cg_objects.t_pose()
self.start = cg_objects.Frame.unit \
.translate(cg_objects.Vector(0, 0, 200))
self.frame = self.start
self.time_0 = None
self.time_1 = 0
acceleration = cg_objects.Vector.k_hat * -9.80665
velocity = cg_objects.Vector.zero
position = self.start.origin - cg_objects.Point.origin
self.position = functools.partial(self._physics_position, acceleration,
velocity, position)
def plot_minimums(self, r):
cube = cg_objects.Frame.unit \
.translate(cg_objects.Vector(-r, -r, -r)) \
@ cg_objects.cube(cg_objects.Vector(0, 0, 2 * r))
self.plot_vertices(cube, c='w', marker='.')
def plot_minimums(self, r):
cube = cg_objects.cube(cg_objects.Vector(0, 0, r))
self.plot_vertices(cube, c='w', marker='.')
def model(self):
return self.frame.local.rotate_axis(
self.k * math.tau,
cg_objects.Vector(1, 1, 0), cg_objects.Point(1, 1, 2)) \
@ self._model