Andrew Stacey :: Research :: Preprints :: TheEnchantedForest :: BrunnianGlade.txt

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Sun, 7th Nov 2010 (Research :: Preprints :: TheEnchantedForest)

The Brunnian Glade

In the Brunnian Glade, the circles are linked together in the Brunnian way.

$Brunnian chain$

The Brunnian chain

$Brunnian chain$

SVG, PDF, TeX
The Brunnian ring with 3 components

$Brunnian link with 3 components$

SVG, PDF, TeX
The Brunnian rings (flattened circles)
Level two Brunnian rings
1. A Brunnian ring of Brunnian rings: B(1,2)
  
  $Level two Brunnian link with 2 components of 1 component$
  
  SVG, PDF, TeX
2. A Brunnian ring of Brunnian rings: B(2,2)
  
  $Level two Brunnian link with 2 components of 2 components$
  
  SVG, PDF, TeX 3D from KnotPlot
3. A Brunnian ring of Brunnian rings: B(2,3)
  
  $Level two Brunnian link with 3 components of 2 components$
  
  SVG, PDF, TeX 3D from KnotPlot
4. A Brunnian ring of Brunnian rings: B(2,4)
  
  $Level two Brunnian link with 4 components of 2 components$
  
  SVG, PDF, TeX 3D from KnotPlot
5. A Brunnian ring of Brunnian rings: B(3,2)
  
  $Level two Brunnian link with 2 components of 3 components$
  
  SVG, PDF, TeX 3D from KnotPlot
6. A Brunnian ring of Brunnian rings: B(3,3)
  
  $Level two Brunnian link with 3 components of 3 components$
  
  SVG, PDF, TeX 3D from KnotPlot
Level three Brunnian rings.
1. A Brunnian ring of Brunnian rings of Brunnian rings: B(2,2,2)
  
  $Level three Brunnian link with 2 of 2 of 2$
  
  SVG, PDF, TeX
2. A Brunnian ring of Brunnian rings of Brunnian rings: B(3,3,3)
  
  $Level three Brunnian link with 3 of 3 of 3$
  
  SVG, PDF, TeX
Brunnian glades
1. B(2,2,2) encircling B(2,2) surrounding B(2)
  
  $Stacked Brunnian links$
  
  SVG, PDF, TeX
2. B(3,3,3) encircling B(3,3) surrounding B(3)
  
  $Stacked Brunnian links$
  
  SVG, PDF, TeX

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Last modified on:
Wed, 10th Nov 2010