Everted Embeddings

Year: 2020 Authors: Carlo H. Séquin

Core claim

Skin eversion preserves the knot or link but changes its embedding, often swapping handles and tunnels and yielding an intuitively different surface presentation.

Topics

surface eversion, knot embeddings, handle-body genus, physical models

Domains

knot theory, topology, regular homotopy, 3D sculpture, physical modeling, visualization, mixed-material fabrication

Methods

skin eversion, hands-on modeling, surface embedding analysis, 3D printed prototypes

Media

plastic bags, 3D printer, ropes, pipe-cleaners

Source status

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