Handlebody and Knot composed of polygons

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SUMMARY

The discussion centers on the construction of topological structures, specifically focusing on geometric compositions such as knots, links, tori, handlebodies, and Möbius strips. Participants reference George Hart, a notable figure in mathematical constructions, and seek literature that explores the creation of these structures using polygons and polyhedra. The inquiry emphasizes the need for resources that detail the geometric aspects of these mathematical objects.

PREREQUISITES
  • Understanding of topological structures, including knots and links.
  • Familiarity with geometric concepts such as polygons and polyhedra.
  • Knowledge of mathematical construction techniques.
  • Awareness of influential mathematicians, particularly George Hart.
NEXT STEPS
  • Research George Hart's contributions to mathematical constructions.
  • Explore literature on geometric topology, focusing on knots and handlebodies.
  • Study the properties and applications of Möbius strips in geometry.
  • Investigate the use of polygons in constructing polyhedral structures.
USEFUL FOR

Mathematicians, educators, and enthusiasts interested in geometric topology and the construction of complex mathematical objects will benefit from this discussion.

GEOPHILE2
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Has anyone seen any literature related to the construction of topological structures with geometric composition as seen below?
 

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Do you mean specifically? Or are you generally interested in physical constructions of mathematical objects? George Hart (father of Vi Hart, famed quirky creator of math videos) does some amazing constructions. http://georgehart.com/
 
Hi, thank you for the reply and the link to Professor Hart's web page. As to the photo I posted, I was hoping for any articles or books that are about constructing topological structures such as knots, links, tori/handlebodies and Mobius strips with geometric composition as for instance polyhedra, polygons, lines and points specifically. Happy Holidays, GEOPHILE2
 

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