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A Summary of My Year of Mathematical Knitting and Crocheting

Now that 2012 is over and 2013 has begun, here is a summary of The Year of Mathematical Knitting and Crocheting.

Hyperbolic Space

  • Parallel lines and Triangles

  

  • A Pseudosphere and a Symmetric Hyperbolic Plane
       
  • A Hyperbolic Coral Reef – just for fun

The Möbius Band

The Klein Bottle

  • Constructed by knitting one Möbius Band and then “gluing” the edges
  • The Zipped Version
        
  • Constructed by crocheting two Möbius bands and then joining them.
  • The Zipped Version
        

Fractals and the Sierpinski Triangle

Seifert Surfaces (of the Trefoil Knot)

The Projective Plane

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