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Preview of Mcp Exercise Lissajous Pendant

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Mcp Exercise Lissajous Pendant

About this project

A flat pendant of a Lissajous figure, the curve traced by two perpendicular sine waves, set in a rounded frame with a bail on top. Pick two frequencies and a phase, and every combination comes out as one connected, printable piece.

How it's built

  • Figure - an equation curve, x = a sin(freqX t + phase) and y = b sin(freqY t), stroked to a constant width.
  • Frame - a rounded rectangle exactly enclosing the curve. Every figure reaches its full width and height, so it always touches the frame and stays anchored.
  • Bail and body - a ring with a hole sits above the frame; strokes are blended where they cross, then the outline is inflated into a slab with rounded edges.

Parameters

Group Slider What it does
Figure Half-width / half-height Size of the figure (and frame)
Figure Frequency X / Y 1-7 each; 3:2 is the classic, 1:1 is an ellipse, high ratios give dense weaves
Figure Phase Twists the figure; 90 gives the open symmetric form
Stroke Stroke half-width, blend Line weight and the fillet at crossings
Bail Hole radius, wall Fits the chain or cord
Body Thickness Slab thickness, with rounded edges

High frequencies on a small figure close up the loops; widen the figure or thin the stroke to keep it open.

Printing

Print flat on the bed. A 0.4 mm nozzle handles the default 2.4 mm strokes comfortably.

UpdatedOct 29, 2026
Version5
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  • pendant
  • lissajous
  • math-art
  • jewelry
  • 3d-printing
  • configurable