Andrew Stacey :: Research :: Preprints :: TheEnchantedForest

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Andrew Stacey
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By: Andrew Stacey
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The Hopfian Glade

In the Hopfian Glade, the circles are linked together by Hopf links.

The Hopf Link itself.

$Hopf Link$

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A ring of 9 circles linked via Hopf links (undeformed circles).

$Hopf ring$

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Rings linked together via Hopf links (deformed circles).
1. 1 component
  
  $Hopf ring with 1 component$
  
  SVG, PDF, TeX
2. 2 components
  
  $Hopf ring with 2 components$
  
  SVG, PDF, TeX
3. 3 components
  
  $Hopf ring with 3 components$
  
  SVG, PDF, TeX
4. 4 components
  
  $Hopf ring with 4 components$
  
  SVG, PDF, TeX
5. 5 components
  
  $Hopf ring with 5 components$
  
  SVG, PDF, TeX
6. 6 components
  
  $Hopf ring with 6 components$
  
  SVG, PDF, TeX
7. 7 components
  
  $Hopf ring with 7 components$
  
  SVG, PDF, TeX
8. 8 components
  
  $Hopf ring with 8 components$
  
  SVG, PDF, TeX
9. 9 components
  
  $Hopf ring with 9 components$
  
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A Hopf ring of Hopf rings: H(3,3)

$A Hopf ring of Hopf rings$

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A Hopf ring of Hopf rings: H(9,4)

$A Hopf ring of Hopf rings$

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A Hopf ring of Hopf rings of Hopf rings: H(3,3,3)

$A Hopf ring of Hopf rings of Hopf rings$

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The Hopfian Glade: H(3,3,3) encircling H(3,3) surrounding H(3)

$Stacked Hopf rings$

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Last modified on:
Wed, 10th Nov 2010