An Algorithm for Generating a Family of Alternating Knots

<table>An example of an alternating knot of <svg height="11.075" id="M297" style="vertical-align:-0.3135pt" version="1.1" viewbox="0 0 48.325001 11.075" width="48.325001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.075)">
<g transform="translate(72,-63.14)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="15.278666" y="0">×</tspan>
<tspan style="font-size: 12.50px; " x="26.056252" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="32.307751" y="0">2</tspan>
</text>
</g>
</g>
</svg>.</table>

International Scholarly Research Notices

fig5

Figure 5

Figure 5: An Algorithm for Generating a Family of Alternating Knots 