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Topological Invariants

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The simplest non-trivial knot, with crossing number 3.

Crossing #

Alexander Δ

t²-t+1

Genus

Chirality

Chiral

x(t) = R·(sin t + 2sin 2t)
y(t) = R·(cos t - 2cos 2t)
z(t) = -0.6R·sin 3t✏️ Edit

Knot Type

Trefoil (3₁)

Figure-8 (4₁)

Torus (3,2)

Torus (5,1)

Hopf Link

Borromean

Stevedore (6₁)

Pretzel (7₁)

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x(t)

y(t)

z(t)

Geometric Parameters

Tube Thick 0.150

Scale 3.000

Curve Res 300

Tube Detail 16

Auto Rotate 0.008

Morph Speed 0.020

Wireframe Shadows

Visual Styling

Background Appearance

Knot Color Palette

Animation State

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