Back
Trefoil Mobius Knot ornament – 3D printable model from Thingiverse Thingiverse

Trefoil Mobius Knot ornament

by mm1440
44 Downloads
31 Likes
0 Makes
Download Model
Square tube rotating -270 degree around "harmonic" knot curve.

Curve: r(t)= (.41 Cos(t) - .18 Sin(t) - .83 Cos[2 t] - .83 Sin[2 t] - .11 Cos[3 t] + .27 Sin[3 t]),
(.36 Cos(t) + .27 Sin(t) - 1.13 Cos[2 t] + .30 Sin[2 t] + .11 Cos[3 t] - .27 Sin[3 t]),
(.45 Sin(t) - .30 Cos[2 t] +1.13 Sin[2 t] - .11 Cos[3 t] + .27 Sin[3 t])

This parameterization is credited to Aaron Trautwein in a paper by Louis Kauffman on "Harmonic Knots".

animation of similar knot: http://vimeo.com/792
Source
Thingiverse
Comments
0

Comments

No comments yet – be the first!
All Thingiverse Models More by mm1440

Similar Models

6 Suggestions

Add to Collection