
Trefoil Knot-- Parametric Equations
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Using BlocksCAD, you can create intricate 3D knots using parametric equations. How I Designed This A trefoil knot can be defined with these parametric equations: x(t) = sin(t) + 2sin(2t) y(t) = cos(t) - 2cos(2t) z(t) = -sin(3t) Each equation is represented by a module, generating values for x, y, and z based on input value t. These x,y,z values are used to translate a "point", in this case, a cube. Hulling the loop connects these points together. To achieve a rainbow color effect, each cube is assigned a unique hue within the chain hull loop. Since hue can range from 0 to 100 and the loop spans from 0 to 360, i is divided by (360 / 100) = 3.6. Dividing i by 1.8 yields two complete loops through the rainbow effect.
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