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Topological Nets that Overlap
[Making Math Models] > [Topological Nets] > [Polyknots]
Polyknots are inspired by the art of M C Escher and Rinus Roelofs. They are perhaps the most chllenging to make as paper models. They can be assembled in the manner described below. See if you can make the others?
1 of 12 substructures for Escher dodecahedral polyknot to the far right
3 substructures assembled
6 substructures assembled
completed polyknot
structure: Escher tetrahedral polyknot
components: triangles, pentagons
structure: Escher tetrahedral polyknot
components: triangles, pentagons
structure: Roelofs tetrahedral polyknot
components: triangles
structure: Escher dodecahedral polyknot
components: triangles, squares, pentagons
1 of 12 substructures for an Escher dodecahedral Polyknot
1 of 12 substructures for an Escher dodecahedral Polyknot
1 of 12 substructures for an Escher dodecahedral Polyknot
1 of 12 substructures for an Escher dodecahedral Polyknot
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