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The 5 Escher-Platonic Polyknots — image 1
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The 5 Escher-Platonic Polyknots

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This set of 5 polyknots are inspired by math artist MC Escher and modeled on the Platonic polyhedra.

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Model information

Category
Math
License
Creative Commons — Attribution — Share Alike

This collection includes one Escher octahedral polylink and the other four are polyknots. They have knots at each vertex of the base polyhedron from which they are derived corresponding to its vertex configuration. For example, the dodecahedral polyknot has 20 trefoil knots (three crossing knots): one at each of its 20 vertices yielding a crossing number of 60. Since the vertex of the octahedron is four and thus an even number it is a link with a link number of 24.

It is recommended that they be printed at z-axis setting of 125mm or higher. These models are challenging to print, but they are possible. 

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