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Simon Browne 6 years ago
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<h1>Mathematical knots</h1>
<p>Mathematical knots, or</p>
<h1>Knotworks</h1>
<p>Knotworks are visualisations of network topologies which use mathematical knots to represent a collapsing of the distinction between node and link. Just as a knot is a complication in which the tangle can conceal parts contained (as in <a href="http://b-e-e-t.r-o-o-t.net/readings/cybernetic_guerilla_warfare.html/" target="_blank">klein worm topologies</a>), unravelling the knot reveals that it is homeomorphic to a continuous link. The link and the node are the same, unravelled.</p>
<p>Knotworks are visualisations of network topologies which use mathematical knots to represent a collapsing of the distinction between node and link. Just as a knot is a complication in which the tangle can conceal parts contained (as in <a href="http://b-e-e-t.r-o-o-t.net/readings/cybernetic_guerilla_warfare.html" target="_blank">klein worm topologies</a>), unravelling the knot reveals that it is homeomorphic to a continuous link. The link and the node are the same, unravelled.</p>
<picture class="drawing">
<source media="(max-width: 1280px)" srcset="img/Knotwork_05_640.jpg">
<!-- image for screens below 1280px wide -->

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