Andrew Stacey


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Andrew Stacey
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By: Andrew Stacey
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Andrew Stacey


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Wed, 10th Nov 2010 (Research :: Preprints :: TheEnchantedForest)

The Enchanted Forest

In the Enchanted Forest you can find many examples of curious knots and links, many with Brunnian characteristics.

Many of the pictures were generated using the TikZ graphical system for TeX. The latest version of this can be downloaded from http://www.texample.net; these pictures work with the version dated 2010-07-25. There is a style file, brunnian.sty, which contains the base code needed to generate these pictures.

Other pictures were generated by knotplot. A perl program, brunnian.pl, generates output that can be loaded in to knotplot.

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Wed, 10th Nov 2010


Mon, 8th Nov 2010 (Research :: Preprints :: TheEnchantedForest)

Welcome to the Enchanted Forest

Welcome to the Enchanted Forest. The pictures displayed here were originally designed for the papers by Nils Baas:

TheEnchantedForest

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Fri, 17th Dec 2010


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

The Hopfian Glade

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

Hopf Link

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Wed, 10th Nov 2010


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

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Wed, 10th Nov 2010


Tue, 9th Nov 2010 (Research :: Preprints :: TheEnchantedForest)

Hybrid Links

The hybrids are a strange mixture of creatures. Some are formed by varying the types of connections: both Brunnian and Hopfian appear in the same links. Some are formed by mixing structures of different levels.

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Wed, 10th Nov 2010


Tue, 9th Nov 2010 (Research :: Preprints :: TheEnchantedForest)

Deformations

Growing in the Enchanted Forest, many of the links and rings undergo strange and unusual deformations. Here, we document some of the more common occurences.

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Wed, 10th Nov 2010


Wed, 10th Nov 2010 (Research :: Preprints :: TheEnchantedForest)

Brunnian Surfaces

In the Enchanted Forest, even the solid objects are made out of links. The enchantment of the forest means that they will fall apart if a single component is broken.

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Wed, 10th Nov 2010


Wed, 10th Nov 2010 (Research :: Preprints :: TheEnchantedForest)

Knots

Not all of the sights in the Enchanted Forest are links, some are knots.

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Wed, 10th Nov 2010