Reflection for Week 10 - Highly Unlikely Triangles and Other Impossible Figures in Bead Weaving

Reading

Highly Unlikely Triangles and Other Impossible Figures in Bead Weaving

Summary

The article describes how impossible mathematical figures can be changed into three-dimensional sculptures through bead weaving techniques. There are examples of collaborations between artists and mathematicians. These unlikely figures were first introduced in 1930s. The flexibility of beads facilitates the production of "high unlikely" versions of impossible figures. In the article, the intersection between mathematics, art, and craftsmanship in creating sculptures is emphasized. 

First stop

I am surprised how straightforward it is to make a beaded sculpture from an impossible triangle drawing. When I read the title of this article, my thought was that it would be tedious to construct three dimensional counterparts of highly unlikely and impossible figures. It turns out that it is simple to make such sculptures.

Second stop

I am very fascinated by these images of highly unlikely and impossible figures. It is interesting how there are square analogues of the shapes in Figure 1. 

Questions

  • Would integrated mathematics and art classes in schools be effective in meeting the goals of mathematics and art pedagogy?
  • Other examples of creating sculptures based on interesting mathematics figures? In my differential geometry class, I remember reading about helicoid sculptures.





Comments

  1. AnitaMarch 28, 2024 at 8:51 PM

    Karan, it's fascinating to see how bead-weaving techniques can transform seemingly impossible mathematical figures into tangible sculptures. The intersection of mathematics, art, and craftsmanship highlighted in the article is truly inspiring. As for your questions, integrated mathematics and art classes could indeed be effective in enhancing students' understanding and appreciation of both subjects, fostering creativity and critical thinking. I would like to know if we can search for more examples. Additionally, exploring other mathematical figures like helicoids through sculpture-making could offer another engaging avenue for learning and expression.

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  2. March 30, 2024 at 8:44 AM

    Thank Karan for bringing such interesting examples and figures. I got interested in understanding what makes these figures impossible mathematically and how the impossibility is questioned through beading. What did change to make the impossible possible?

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