Photo of printed model in Full Color Sandstone
Color Perko Morph
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Product Description
This model illustrates a continuous morphing between the two knots known as the Perko Pair. The red knot is "Perko A", the knot known as 10_161 in the Rolfsen table. The purple knot is "Perko B", the Knot Formerly Known As 10_162. The remaining knots are snapshots of a continuous morphing from Perko A to Perko B that shows that they are, in fact, the same knot.
Each knot in the morph was extracted from KnotPlot, Laplacian thinned in Meshlab, Catmull-Clark remeshed in TopMod, and then arranged, scaled, and painted with color in Meshmixer. For a tutorial on the "painting" step see my blog post Tutorial Tuesday 13: Painting Multicolor Models in Meshmixer.
To read more about the Perko knot and to download 3D-printable files, check out our articles on Hacktastic:
Photo note: The book underneath the printed knot is Noboru Ito's wonderful new book Knot Projections.
Each knot in the morph was extracted from KnotPlot, Laplacian thinned in Meshlab, Catmull-Clark remeshed in TopMod, and then arranged, scaled, and painted with color in Meshmixer. For a tutorial on the "painting" step see my blog post Tutorial Tuesday 13: Painting Multicolor Models in Meshmixer.
To read more about the Perko knot and to download 3D-printable files, check out our articles on Hacktastic:
Photo note: The book underneath the printed knot is Noboru Ito's wonderful new book Knot Projections.
Details
What's in the box:
Perko Morph
Dimensions:
Success Rate:
First To try.
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Rating:
Mature audiences only.
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