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calesthioandHanzo Dev
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11 production pipelines, 47 tools, 124 agent skills. Supports cloud APIs (fal.ai, OpenAI, ElevenLabs, Suno, HeyGen, Runway) and free local providers (diffusers, Piper TTS, WAN 2.1, Hunyuan, CogVideo). Co-authored-by: Hanzo Dev <[email protected]>
100 lines
3.3 KiB
Python
100 lines
3.3 KiB
Python
"""
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3D Vector Space Example
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Demonstrates how coordinates create a point in 3D space with animated construction.
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Based on: videos/_2024/transformers/embedding.py - ThreeDSpaceExample
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"""
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from manimlib import *
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class ThreeDVectorSpace(InteractiveScene):
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"""
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Visualizes how 3D coordinates define a point in space.
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Shows step-by-step construction along x, y, z axes.
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"""
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def construct(self):
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# Set up 3D frame and axes
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frame = self.frame
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frame.reorient(-15, 78, 0, (1.07, 1.71, 1.41), 6.72)
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frame.add_ambient_rotation(1 * DEGREES)
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axes = ThreeDAxes((-5, 5), (-5, 5), (-4, 4))
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plane = NumberPlane((-5, 5), (-5, 5))
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plane.set_stroke(opacity=0.5)
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self.add(plane)
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self.add(axes)
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# Target coordinates
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x, y, z = coordinates = np.array([3, 1, 2])
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colors = [RED, GREEN, BLUE]
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# Create coordinate display (fixed in frame)
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coords = DecimalMatrix(np.zeros((3, 1)), num_decimal_places=1)
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coords.fix_in_frame()
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coords.to_corner(UR)
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coords.shift(1.5 * LEFT)
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coords.get_entries().set_submobject_colors_by_gradient(*colors)
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# Create path lines for x, y, z components
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lines = VGroup(
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Line(axes.c2p(0, 0, 0), axes.c2p(x, 0, 0)),
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Line(axes.c2p(x, 0, 0), axes.c2p(x, y, 0)),
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Line(axes.c2p(x, y, 0), axes.c2p(x, y, z)),
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)
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lines.set_flat_stroke(False)
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lines.set_submobject_colors_by_gradient(*colors)
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# Create axis labels
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labels = VGroup(*map(Tex, "xyz"))
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labels.rotate(89 * DEGREES, RIGHT)
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directions = [OUT, OUT + RIGHT, RIGHT]
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for label, line, direction in zip(labels, lines, directions):
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label.next_to(line, direction, buff=SMALL_BUFF)
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label.match_color(line)
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# Glowing dot to track position
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dot = GlowDot(color=WHITE)
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dot.move_to(axes.get_origin())
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# Final vector arrow
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vect = Arrow(axes.get_origin(), axes.c2p(x, y, z), buff=0)
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vect.set_flat_stroke(False)
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# Show coordinate matrix
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self.add(coords)
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# Animate building the vector step by step
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for entry, line, label, value in zip(coords.get_entries(), lines, labels, coordinates):
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rect = SurroundingRectangle(entry)
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rect.set_fill(line.get_color(), opacity=0.3)
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rect.set_stroke(line.get_color(), width=2, opacity=1.0)
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self.play(
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ShowCreation(line),
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FadeInFromPoint(label, line.get_start()),
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FadeIn(rect, rate_func=there_and_back),
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ChangeDecimalToValue(entry, value),
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dot.animate.move_to(line.get_end()),
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)
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self.wait(0.5)
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# Show the complete vector
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self.play(ShowCreation(vect))
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self.wait(3)
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# Show many random points
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points = GlowDots(np.random.uniform(-3, 3, size=(50, 3)), radius=0.1)
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frame.clear_updaters()
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self.play(
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FadeOut(coords),
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FadeOut(dot),
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FadeOut(plane),
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LaggedStartMap(FadeOut, VGroup(*lines, vect, *labels)),
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frame.animate.reorient(-81, 61, 0, (-0.82, 0.6, 0.36), 8.95),
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ShowCreation(points),
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run_time=2,
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)
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frame.add_ambient_rotation(5 * DEGREES)
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self.wait(5)
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